Question

Simplify square root of 8y/share root of y

Answer 1

Answer:

$2\sqrt{2}$

Step-by-step explanation:

We are required to simplify the following expression;

$\frac{\sqrt{8y} }{\sqrt{y} }$

Using the properties of radicals;

$\frac{\sqrt{a} }{\sqrt{b}}=\sqrt{\frac{a}{b} }$

The expression can be re-written as;

$\sqrt{\frac{8y}{y}}=\sqrt{8}$

Now;

$\sqrt{8}=\sqrt{4*2}=\sqrt{4}*\sqrt{2}\\ \\2\sqrt{2}$