Chapter 0, Problem 57PG

To determine

To simplify $\sqrt{\frac{7x^3}{3}}$

Answer to Problem 57PG

Simplified expression is $x\sqrt{\frac{7x}{3}}$ .

Explanation of Solution

Given information:

Expression is $\sqrt{\frac{7x^3}{3}}$

Calculation:

The given expression is $\sqrt{\frac{7x^3}{3}}$ .

Simplifying,

  $\sqrt{\frac{7x^3}{3}}=\sqrt{\frac{7x\times x\times x}{3}}$

Pairing,

  $\sqrt{\frac{7x^3}{3}}=\sqrt{\frac{7\times {(x)}^2\times x}{3}}$

Taking out squares,

  $\sqrt{\frac{7x^3}{3}}=x\sqrt{\frac{7x}{3}}$

Hence, simplified expression is $x\sqrt{\frac{7x}{3}}$ .