Chapter 0.9, Problem 8E

To determine

To simplify the given expression

Answer to Problem 8E

  $2a{b}^2{c}^2\sqrt{14c}$

Explanation of Solution

Given information:

  $\sqrt{56a^2{b}^4{c}^5}$

Calculation:

Simplifying,

  $\sqrt{2\times 2\times 2\times 7\times a\times a\times b^2\times b^2\times c^2\times c^2\times c}$

So,

  $2a{b}^2{c}^2\sqrt{2\times 7c}$

On solving,

  $2a{b}^2{c}^2\sqrt{14c}$