Chapter 0, Problem 62PFG

To determine

To simplify the expression

Answer to Problem 62PFG

  $2xy\sqrt{6y}$ is the simplified expression.

Explanation of Solution

Given information:

  $\sqrt{24x^2{y}^3}$

Calculation:

The expression is $\sqrt{24x^2{y}^3}$

Simplifying equation,

  $\sqrt{24x^2{y}^3}=\sqrt{2\times 2\times 2\times 3\times x^2\times y^2\times y}$

Taking out squares,

  $\sqrt{24x^2{y}^3}=\sqrt{2^2\times 2\times 3\times x^2\times y^2\times y}$

So,

  $\sqrt{24x^2{y}^3}=$

  $2xy\sqrt{6y}$

Hence, $2xy\sqrt{6y}$ is the simplified expression.