Chapter 0.9, Problem 12E

To determine

To simplify the given expression

Answer to Problem 12E

  $\frac{12}{7}\sqrt{\frac{2}{3}}$

Explanation of Solution

Given information:

  $\sqrt{\frac{288}{147}}$

Calculation:

Simplifying,

  $\sqrt{\frac{4\times 4\times 9\times 2}{7\times 7\times 3}}$

So,

  $\frac{4\times 3}{7}\sqrt{\frac{2}{3}}$

On solving,

  $\frac{12}{7}\sqrt{\frac{2}{3}}$