Question

How do you simplify `sqrt2(5sqrt2 + 3sqrt8 - 4sqrt32)`?

Answer 1

`-10`

Explanation:

look for squares that 'can be taken outside' the square roots.

given:`" "sqrt(2)(5sqrt(2)+3sqrt(8)-4sqrt(32))`

write as`" "sqrt(2)(5sqrt(2)+3sqrt(2xx2^2)-4sqrt(2^2xx2^2xx2))`

`sqrt(2)(5sqrt(2)+6sqrt(2)-16sqrt(2))`

`2(5+6-16)`

`-10`