Chapter R.7, Problem 1YT

YOUR TURN

Simplify $\sqrt{28x^9{y}^5}$.

To determine

To simplify:

The expression $\sqrt{28x^9{y}^5}$.

Answer to Problem 1YT

Solution

The simplified form of $\sqrt{28x^9{y}^5}$ is $2x^4{y}^2\sqrt{7xy}$.

Explanation of Solution

Approach:

Use concepts of radicals that break exponents in such a way that it can be taken out of the square root and then simplify.

Calculation:

Consider,

$\begin{array}{rll}\sqrt{28x^9{y}^5}& =& \sqrt{7\cdot 4\cdot x^8{y}^{4}xy}\\ & =& \sqrt{7\cdot 2^2{x}^8{y}^{4}xy}\\ & =& 2x^4{y}^2\sqrt{7xy}\end{array}$