Question

Simplify 3/2√3 a. √2/3 b. 2√3/3 c. 3√3/3 d. √3/2 -everything is in fraction form-

Answer 1

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Answer 2

Before A:
`(3√(3))/(6)`

A:Already Simplified!

B:Also, Already Simplified! Can be changed to
`(√(12))/(3)`

C:Already Simplified, yet again. Can be changed to
`(√(27))/(3)`

D:Already Simplified.

Explanation:

For Before A, I multiplied both denominator and numerator by square root of 3. The multiplication moved the square root to the numerator, simplifying the fraction.

The different forms of B and C are just that I multiplied the square of the first number into the square roots. This is OK because the square root of a number's square is the number itself. Therefore, you can multiply a square root by the square of the number from outside the root.