Question

Simplify the following:

`5sqrt(18) + 7sqrt(50) - 10sqrt(8)`

Answer 1

Given,

`5sqrt(18) + 7sqrt(50) - 10sqrt(8)`

Convert the surds in simplest form by finding the prime factors of each surd.

= `5sqrt(2 xx 3 xx 3) + 7sqrt(2 xx 5 xx 5) - 10sqrt(2 xx 2 xx 2)`

= `5 xx 3sqrt(2) + 7 xx 5sqrt(2) - 10 xx 2sqrt(2)`

= `15sqrt(2) + 35sqrt(2) - 20sqrt(2)`

= `(15 + 35 - 20)sqrt(2)`

= `30sqrt(2)`

Thus, the required is `30sqrt(2)`.