Question

√(2) + √(6) / √(8) + √(6)

show work please

Answer 1

simplify sqrt8
Then multiply numerator and denominator by the conjugate of the denominator.

Answer 2

\[\frac{\sqrt{2}+\sqrt{6}}{\sqrt{8}+\sqrt{6}}\]or\[\sqrt{2}+\frac{\sqrt{6}}{\sqrt{8}}+\sqrt{6}\]

Answer 3

\[\sqrt8 = 2\sqrt2\]
so
\[\frac{\sqrt2+\sqrt6}{2\sqrt2+\sqrt6}\]

Answer 4

now do as @Mertsj said

Answer 5

we want to get rid of the sqrts in the denom

Answer 6

so
\[\frac{\sqrt2+\sqrt6}{2\sqrt2+\sqrt6}*\frac{2\sqrt2-\sqrt6}{2\sqrt2-\sqrt6}\]