Question

How do you simplify the expression `sqrt(1/5)-sqrt5`?

Answer 1

See below.

Explanation:

`sqrt(1/5)-sqrt5=1/sqrt(5)-sqrt5=1/sqrt(5)\cdot\sqrt(5)/sqrt(5)-sqrt5=\sqrt(5)/5-sqrt(5)=(sqrt(5)-5sqrt(5))/5=(-4sqrt(5))/5`