Question

Simplify the following expression

Answer 1

We have the following expression:
 (6root (2)) / (root (3))
 Rationalizing we have:
 (6root (2)) / (root (3)) * (root (3) / root (3))
 Rewriting we have:
 (6root (6)) / (3)
 2root (6)
 Answer:
 The simplified expression for this case is given by:
 2root (6)

Answer 2

Answer:
2√6

Explanation:
Before we begin, remember the following:
√a * √b = √ab
√a * √a = a

Now, for the given:
$\frac{6 \sqrt{2} }{ \sqrt{3} }$

Multiply both the numerator and the denominator by √3:
$\frac{6 \sqrt{2} }{ \sqrt{3} }$ * $\frac{ \sqrt{3}}{ \sqrt{3} }$

= $\frac{6 \sqrt{2} \sqrt{3} }{ \sqrt{3} \sqrt{3} }$

= $\frac{6 \sqrt{6} }{3}$

This can be rewritten as:
$\frac{6}{3} \sqrt{6}$ = 2√6

Hope this helps :)