Chapter CSB, Problem 2.24E

To determine

To simplify: the given square root.

Answer to Problem 2.24E

  $12\sqrt{5}\cdot 3\sqrt{45}=540$ .

Explanation of Solution

Given:

The given square rootis $12\sqrt{5}\cdot 3\sqrt{45}$ .

Calculation:

As the given square root is $12\sqrt{5}\cdot 3\sqrt{45}$ .

Now, to simplify the square root, therefore,

  $\begin{array}{l}12\sqrt{5}\cdot 3\sqrt{45}=12\times 3\cdot \sqrt{5\times 45}\left\{\text{multiply}\right\}\\ =36\cdot \sqrt{225}\{\because \sqrt{225}=15\}\\ =36\times 15\\ =540\end{array}$

Hence, the simplification of the given function is $12\sqrt{5}\cdot 3\sqrt{45}=540$ .