Dividing Radicals

Question 1

What is in simplest form? Assume and .

Revolt · Accepted Answer

A:

Question 2

What is in simplest form, where ?

Revolt · Accepted Answer

C:

Question 3

What is the simplest form of

Revolt · Accepted Answer

B: 3x3

Question 4

What is the simplest form of

Revolt · Accepted Answer

A:

Question 5

Which expression should you multiply the numerator and denominator of by to rationalize the denominator?

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C: mc001-4.jpg

Question 6

What is the simplest form of

Revolt · Accepted Answer

D: mc001-3.jpg

Question 7

The gravitational force formula is where F is the force between two objects, G is the constant of gravitation, m1 is the mass of the first object, m2 is the mass of the second object, and r is the distance between the objects. By rewriting the formula as , you can find the distance between objects. Which of the following gives the distance, r, in simplest form?

Revolt · Accepted Answer

B:

Question 8

The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write as a single radical? Explain.

Revolt · Accepted Answer

No, it is still possible to write the expression as a single radical. Because the radicands are powers of the same base (y), they can be rewritten using rational exponents as y^(3/4) and y^(1/2). By finding a common denominator for the exponents and subtracting them (3/4 - 2/4 = 1/4), the expression simplifies to y^(1/4), which is the 4th root of y.

Question 9

What is the simplest form of ?

Revolt · Accepted Answer

A: mc001-2.jpg

Question 10

What is in exponential form?

Revolt · Accepted Answer

A:

Dividing Radicals Answers

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