Question

Find the square root of the following expressions.

• A. $\frac{4x{z}^2}{6y}$
• B. $\frac{x^{2}z}{y^3}$
• C. $\frac{x^{4}z}{y^2}$

Answer 1

$1.\sqrt{\frac{16x^2{z}^4}{36y^2}}=\frac{4}{6}\sqrt{\frac{x^2{z}^4}{y^2}}$
$=\frac{4}{6}\times \frac{x{z}^2}{y}(\because \sqrt{a^b}=a^{\frac{b}{2}})$
$=\frac{4x{z}^2}{6y}$


$2.\sqrt{\frac{x^4{z}^2}{y^6}}=\sqrt{\frac{x^{2}z}{y^3}}(\because \sqrt{a^b}=a^{\frac{b}{2}})$

$3.\sqrt{\frac{x^8{z}^2}{y^4}}=\sqrt{\frac{x^{4}z}{y^2}}(\because \sqrt{a^b}=a^{\frac{b}{2}})$