Question

Simplify.

A) 4√3 + 6

B) 6√3 + 4

C) 6√6 + 3

Answer 1

`( 8√(6mn) + 6√(8mn) )/( 2√(2mn))`

First, break it up into two fractions:


`( 8√(6mn) + 6√(8mn) )/( 2√(2mn)) = (8√(6mn))/( 2√(2mn)) + (6√(8mn))/( 2√(2mn))`

Next, you can simplify the numbers outside of the square root:


`(8√(6mn))/( 2√(2mn)) + (6√(8mn))/( 2√(2mn)) = (4√(6mn))/(√(2mn)) + (3√(8mn))/(√(2mn))`

Since the values are being acted by the same function, being under a radical, you can simplify these too:


`(4√(6mn))/(√(2mn)) + (3√(8mn))/(√(2mn)) = {4√(3)} + {3√(4)}`

Finally, the square root of 4 is 2, so it would be expressed like this:


`{4√(3)} + {3√(4)} = {4√(3)} + {3(2) = {4√(3)} + 6`

Your answer should be A.