Question

Simplify sqrt 8y/sqrt y

Answer 1

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

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

$\sqrt{8} =$

$\sqrt{ {2}^{2} \times 2 } =$

$\sqrt{ {2}^{2} } \sqrt{2} =$

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

$2 \sqrt{2}$

Answer 2

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

Answer:

$2\sqrt{2}$

I turned the numerator into an exponent: $2 \frac{3}{2}$

$\frac{2^{\frac{3}{2}}\sqrt{y}}{\sqrt{y}}$

The $\sqrt{y}$ will cancel out, leaving $2 \frac{3}{2}$.

$2^{\frac{3}{2}}=2\sqrt{2}$

Hope this helps!!!