Question

Anyone know the answer

Answer 1

`(4√(3)+6)`

Explanation:

Simplify the radical part on by one

`(8√(6mn)+6√(8mn))/(2√(2mn))`

square root (6) = sqrt(3) * sqrt(2)

square root (8) =sqrt(4)* sqrt(2)= 2sqrt(2)

so given expression becomes

`(8√(3)√(2)√(mn)+6*2√(2)√(mn))/(2√(2mn))`

`(8√(3)√(2mn)+6*2√(2mn))/(2√(2mn))`

`(8√(3)√(2mn)+12√(2mn))/(2√(2mn))`

LEts factor out 2 sqrt(2mn) from the top

`(2√(2mn)(4√(3)+6))/(2√(2mn))`

We cancel out 2sqrt(2mn) at the top and bottom

`(4√(3)+6)`