Question

What is the following quotient,
sqrt96/ sqrt8

Answer 1

its a

Explanation:

on edge 2022

Answer 2

The answer is option 1.

Explanation:

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

`√(a) * √(b) = √(a * b)`

`√(a) * √(a) = a`

`( √(96) )/( √(8) )`

`( √(96) )/( √(8) ) * ( √(8) )/( √(8) )`

`( √(96) * √(8) )/( √(8) * √(8) )`

`( √(768) )/(8)`

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

`( √(256 * 3) )/(8)`

`(16 √(3) )/(8)`

`2 √(3)`