Question

square root of 10 (4 - square root of 5) + square root of 8 (square root of 5 + 2)

Answer 1

\[\sqrt10 (4-\sqrt5)+\sqrt8(\sqrt5+2)\] Is this your equation?

Answer 2

assuming it is, you get:
\[4\sqrt10-\sqrt50+\sqrt40+2\sqrt8\]then,\[4\sqrt10-5\sqrt2+2\sqrt10+4\sqrt2\]this gives,\[6\sqrt10-\sqrt2\]