Question

What is the following quotient? Sqrt 96/ Sqrt 8

Answer 1

Radicals cannot exist as a denominator, so you would multiply both Sqrt96 and Sqrt8 by the Sqrt8, giving you Sqrt768 over 8 (since a sqrt times itself is the base number, in this case 8) then you would simplify Sqrt768 into 16 x Sqrt3, leaving you with 16xSqrt3 over 8. simplify into 2Sqrt3 by dividing.

Answer 2

The quotient of given expression is 2√3.

Explanation:

The given expression is

`(√(96))/(√(8))`

According to the properties of radical expressions.

`(√(a))/(√(b))=\sqrt{(a)/(b)}`

Using this property, we get

`(√(96))/(√(8))=\sqrt{(96)/(8)}`

Cancel out the common factors.

`(√(96))/(√(8))=√(12)`

`(√(96))/(√(8))=√(4* 3)`

`(√(96))/(√(8))=√(2^2* 3)`

`(√(96))/(√(8))=2√(3)`

Therefore the quotient of given expression is 2√3.