Question

What is the following quotient? √96/√8

Answer 1

Hope this helps. Might have a few extra steps.

Answer 2

Answer:

$2\sqrt{3}$

Step-by-step explanation:

We are asked to find the quotient of expression: $\frac{\sqrt{96}}{\sqrt{8}}$

Upon using the quotient rules for radicals we will get,  

$\frac{\sqrt{96}}{\sqrt{8}} =\sqrt{\frac{96}{8}$

Now let us cancel out GCF of 96 and 8.

$\sqrt{\frac{96}{8}}=\sqrt{12}$

Now let us factor out perfect square from $\sqrt{12}$

$\sqrt{12}=\sqrt{4}\times\sqrt{3}$

$\sqrt{4}\times\sqrt{3}=2\sqrt{3}$

Therefore, our radical expression simplifies to $2\sqrt{3}$.