Chapter CSB, Problem 2.23E

To determine

To simplify: the given square root.

Answer to Problem 2.23E

  $7\sqrt{30}\cdot 2\sqrt{6}=252\sqrt{5}$ .

Explanation of Solution

Given:

The given square rootis $2\sqrt{3}\cdot 5\sqrt{57}$ .

Calculation:

As the given square root is $2\sqrt{3}\cdot 5\sqrt{57}$ .

Now, to simplify the square root, therefore,

  $\begin{array}{l}2\sqrt{3}\cdot 5\sqrt{57}=2\times 5\cdot \sqrt{3\times 27}\left\{\text{multiply}\right\}\\ =10\cdot \sqrt{81}\{\because \sqrt{81}=9\}\\ =10\times 9\\ =90\end{array}$

Hence, the simplification of the given function is $2\sqrt{3}\cdot 5\sqrt{57}=90$ .