What values of a and b make the equation true


Asked by wiki @ in Mathematics viewed by 91 People


What values of a and b make the equation true? sqrt(648)=sqrt(2^a•3^b)

a) a=3, b=2
b) a=2, b=3
c) a=3, b=4
d) a=4, b=3

Answered by wiki @



The value of a = 4 and b = 3 make the equation true, the correct option is D.

Square root

The square root is defined as the value given the original value.

Given information

Equation; \rm \sqrt{648} =\sqrt{(2^a\times 3^b)}

The values of a and b are;

\rm \sqrt{648} =\sqrt{(2^a\times 3^b)}\\\\\sqrt{2\times 2\times 2\times 2\times 3\times 3\times  3}   =\sqrt{(2^a\times 3^b)}\\\\ \sqrt{2^4\times 3^3}  =\sqrt{(2^a\times 3^b)}\\\\

On comparing with the equation both sides;

The value of a is 4 and b is 3.

Hence, The value of a = 4 and b = 3 make the equation true, the correct option is D.

To know more about Square root click the link given below.

brainly.com/question/1969911


Do you know the better answer?

Similar Questions

The limbic system structure that regulates hunger is called the

Asked by wiki @ in Biology viewed by 150 persons

The limbic system structure that regulates hunger is called the

What is the recommended amount of physical activity for children

Asked by wiki @ in Health viewed by 145 persons

What is the recommended amount of physical activity for children? A. at least 2 hours per day B. 4 hours per week C. at least 1 hour per day D. …

The primary purpose of a certificate of confidentiality is to

Asked by wiki @ in Social Studies viewed by 60 persons

The primary purpose of a Certificate of Confidentiality is to: a. Protect identifiable research information from compelled disclosure. b. Prevent subjects from knowing the purpose of a study. c. Protect …

Money spent on government programs is referred to as

Asked by wiki @ in History viewed by 155 persons

Money spent on government programs is referred to as

How is an invasive species introduced to a new ecosystem

Asked by wiki @ in Biology viewed by 143 persons

An invasive species is introduced to an ecosystem through a

What is the difference between top down and bottom up

Asked by wiki @ in Geography viewed by 130 persons

Explain the difference between bottom-up and top-down processing

Which environmental factor encourages us to increase our food consumption

Asked by wiki @ in Health viewed by 218 persons

Which environmental factor encourages us to increase our food consumption? which environmental factor encourages us to increase our food consumption? increasing number of regulations that apply to food labeling increasing …

Human abo groups are best described as an example of

Asked by wiki @ in Biology viewed by 79 persons

Which of the following is an example of polygenic (quantitative) inheritance? a. the ABO blood groups b. Huntington's disease

529 plans are sponsored by all of the following except

Asked by wiki @ in Social Studies viewed by 479 persons

529 plans may be sponsored by all of the following except: a. higher educational institutions. B. state governments. C. the federal government. D. state agencies.

How did mendeleev arrange the elements in his periodic table

Asked by wiki @ in Physics viewed by 171 persons

How did Mendeleev organize the elements to create a periodic table

What is the easiest way to add energy to matter

Asked by wiki @ in Physics viewed by 163 persons

What is the easiest way to add energy to matter.

Regression testing should be a normal part of integration testing

Asked by wiki @ in Computers and Technology viewed by 210 persons

Regression testing should be a normal part of integration testing because as a new module is added to the system new A) control logic is invoked B) data flow paths …

How many sets of chromosomes does a diploid cell have

Asked by wiki @ in Biology viewed by 240 persons

A diploid cell has two pairs of homologous chromosomes. How many different combinations of chromosomes could there be in the gametes?

How did gandhi demonstrate perseverance a characteristic of a hero

Asked by wiki @ in History viewed by 106 persons

How did Gandhi demonstrate perseverance, a characteristic of a hero? A. He kept repeating what he believed and forced others to listen. B. He lead an uprising of the poor …

In glycolysis for each molecule of glucose oxidized to pyruvate

Asked by wiki @ in Biology viewed by 121 persons

In glycolysis, for each molecule of glucose oxidized to pyruvate A. 2 molecules of ATP are used and 2 molecule of ATP are produced. B. 2 molecules of ATP are …

The treaty of tordesillas established a territorial dividing line between

Asked by wiki @ in History viewed by 55 persons

The Treaty of Tordesillas established a territorial dividing line between Spain and India. Spain and Portugal. Africa and Portugal. Africa and India.

How does road rage affect your driving skills and judgment

Asked by wiki @ in Social Studies viewed by 163 persons

How does road rage affect driving skills and judgement

What are the 3 most common ways to treat cancer

Asked by wiki @ in Health viewed by 202 persons

The most common ways to treat cancer include __________. A. chemotherapy, radiation, and surgery B. immunotherapy, radiation, and hormone therapy C. hormone therapy, surgery, and radiation D. radiation, chemotherapy and …

How would overexposure to x rays affect most animal cells

Asked by wiki @ in Biology viewed by 261 persons

How would overexposure to x-rays affect most animal cells

The enzymes of the krebs cycle are located in the

Asked by wiki @ in Biology viewed by 159 persons

The enzymes of the citric acid cycle are located in the

Alpha cells and beta cells can be found in the

Asked by wiki @ in Biology viewed by 217 persons

Alpha cells are to ________ as beta cells are to ________.

Why do some job markets offer more potential than others

Asked by wiki @ in Business viewed by 132 persons

Why do some job markets offer more potential than others? A) They are expected to grow as new technologies and knowledge develop. B) They are located in sparsely populated areas. …

Matter is anything that has weight and takes up space

Asked by wiki @ in Chemistry viewed by 144 persons

Matter is anything that has volume and takes up space. True False

Gdp per capita means that the gdp is calculated per

Asked by wiki @ in Business viewed by 151 persons

"GDP per capita" means that the GDP is calculated per A.) country. B.) day. C.) dollar. D.) person. ITS NOT A!

It is a gaap standard that copies of a check

Asked by wiki @ in Business viewed by 48 persons

It is a gaap standard that ___ copy(ies) of a check be attached to all documents for filing.

Find equation of tangent plane to surface at given point

Asked by wiki @ in Mathematics viewed by 79 persons

Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = u cos vi + u sin vj + vk; u = …

Name one advantage and one disadvantage of this aztec policy

Asked by wiki @ in History viewed by 282 persons

Compare and contrast the warfare tactics of the conquistadores and the Aztecs. What sorts of advantages and disadvantages did each side have?

How to determine if a function is one to one

Asked by wiki @ in Mathematics viewed by 195 persons

Determine if the function is one-to-one. (5 points)

Where is more than two thirds of earth's freshwater stored

Asked by wiki @ in Geography viewed by 158 persons

Where is more than two-thirds of earth’s freshwater stored

Compare early drip irrigation systems to modern drip irrigation systems

Asked by wiki @ in Social Studies viewed by 225 persons

Compare early drip irrigation systems to modern drip irrigation systems.

Most viewed questions in Mathematics


Gina wilson all things algebra 2015 answer key unit 11

Asked by wiki @ in Mathematics viewed by 5162 persons


Unit 11 volume and surface area homework 3 answer key

Asked by wiki @ in Mathematics viewed by 4521 persons


3.2 puzzle time what is roz savage famous for answers

Asked by wiki @ in Mathematics viewed by 3717 persons



An artist sells a painting for 20.50 but uses 5.75

Asked by wiki @ in Mathematics viewed by 3218 persons


Gina wilson all things algebra 2016 answer key unit 11

Asked by wiki @ in Mathematics viewed by 2852 persons


What did captain hook say in the bakery worksheet answers

Asked by wiki @ in Mathematics viewed by 2823 persons



Geometry unit 11 volume and surface area quiz 11 1

Asked by wiki @ in Mathematics viewed by 2794 persons


Unit 4 congruent triangles homework 1 classifying triangles gina wilson

Asked by wiki @ in Mathematics viewed by 2661 persons


Unit 1 test study guide geometry basics answer key

Asked by wiki @ in Mathematics viewed by 2493 persons



Cryptic quiz what is the opposite of a professional eater

Asked by wiki @ in Mathematics viewed by 2434 persons


The price of salmon at a fish market is 5.40

Asked by wiki @ in Mathematics viewed by 2288 persons


Why did the picture go to jail puzzle time answers

Asked by wiki @ in Mathematics viewed by 2216 persons



Algebra 1 8.2 worksheet characteristics of quadratic functions answer key

Asked by wiki @ in Mathematics viewed by 2128 persons


Trigonometry maze answer key

Asked by wiki @ in Mathematics viewed by 1786 persons


Gina wilson all things algebra 2015 unit 11 answer key

Asked by wiki @ in Mathematics viewed by 1778 persons