Question

Please help solve this problem

Answer 1

The correct answer is option B. 2√6

Explanation:

It is given that an expression, 6√2/√3

To simplify the expression

6√2/√3

Multiplying numerator and denominator with √3

6√2/√3 = (6√2 x √3)/(√3 x √3)

= [ 6 x √(2x3)]/3) (√2 x √3 = √(2 x 3)

= 6√6/3

= 2√6

Therefore the simplified form of given expression 6√2/√3 is 2√6.

The correct answer is option B. 2√6

Answer 2

Answer: OPTION A

Explanation:

To simplify the expression you must multiply the numerator and the denominator of the expression by √3.

As all the square roots have equal index, you can multiply the radicands, which are the numbers inside of the sqaures roots.

You also must keep on mind that:

`(\sqrt[n]{a})^n=a`

Therefore, you obtain:

`(6√(2)*√(3))/(√(3)*√(3))=\frac{6\sqrt[]{6}}{3}=\frac{2\sqrt[]{6}}{3}`