Question

√32+√42 ÷ √8 +√12 simplify

Answer 1

Note: It should be 48 instead of 42 because √42 cannot be simplified.

Given:

Consider the given expression is

`(√(32)+√(48))/(√(8)+√(12))`

To find:

The simplified form of the given expression.

Solution:

We have,

`(√(32)+√(48))/(√(8)+√(12))`

It can be written as

`=(√(16* 2)+√(16* 3))/(√(4* 2)+√(4* 3))`

`=(4√(2)+4√(3))/(2√(2)+2√(3))`

`=(4(√(2)+√(3)))/(2(√(2)+√(3)))`

`=(4)/(2)`

`=2`

Therefore, the simplified form of the given expression is 2.