Question

Anyone know the answer

Answer 1

Answer:

$(4\sqrt{3}+6)$

Step-by-step explanation:

Simplify the radical part on by one

$\frac{8\sqrt{6mn}+6\sqrt{8mn}}{2\sqrt{2mn}}$

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

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

so given expression becomes

$\frac{8\sqrt{3}\sqrt{2}\sqrt{mn}+6*2\sqrt{2}\sqrt{mn}}{2\sqrt{2mn}}$

$\frac{8\sqrt{3}\sqrt{2mn}+6*2\sqrt{2mn}}{2\sqrt{2mn}}$

$\frac{8\sqrt{3}\sqrt{2mn}+12\sqrt{2mn}}{2\sqrt{2mn}}$

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

$\frac{2\sqrt{2mn}(4\sqrt{3}+6)}{2\sqrt{2mn}}$

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

$(4\sqrt{3}+6)$