Question

what is the following quotient,
sqrt96/ sqrt8

Answer 1

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to get rid of square root at the denorminator by multiply both side with √8 :

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

$\sqrt{a} \times \sqrt{a} = a$

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

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

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

$\frac{ \sqrt{768} }{8}$

Next, you have to simply by looking which factor is a perfect square :

$\frac{ \sqrt{256 \times 3} }{8}$

$\frac{16 \sqrt{3} }{8}$

$2 \sqrt{3}$

Answer 2

Answer:

its a

Step-by-step explanation:

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