Chapter 0.9, Problem 14E

To determine

To simplify the given expression

Answer to Problem 14E

  $\frac{6}{q^3}\sqrt{\frac{3}{2}}$

Explanation of Solution

Given information:

  $\frac{\sqrt{108}}{\sqrt{2q^6}}$

Calculation:

Simplifying,

  $\frac{\sqrt{4\times 3\times 3\times 3}}{\sqrt{2q^3\times q^3}}$

So,

  $\frac{2\times 3\sqrt{3}}{q^3\sqrt{2}}$

On solving,

  $\frac{6}{q^3}\sqrt{\frac{3}{2}}$