Chapter 9, Problem 8CR

To determine

To simplify the given expression

Answer to Problem 8CR

  $12\sqrt{3}$

Explanation of Solution

Given information:

  $\sqrt{6}(\sqrt{18}+\sqrt{18})$

Calculation:

On solving,

  $\sqrt{6}(2\sqrt{18})$

Opening the brackets,

  $2\sqrt{18\times 6}$

On solving,

  $2\sqrt{108}$

So,

  $2\sqrt{2\times 2\times 3\times 3\times 3}$

So,

  $2\times 2\times 3\sqrt{3}$

On solving,

  $12\sqrt{3}$

Hence, simplified.