Question

How do you solve `5sqrt 18 - sqrt 28 + sqrt 63 - sqrt 8`?

Answer 1

`5sqrt18-sqrt28+sqrt63-sqrt8=13sqrt2+sqrt7`

Explanation:

`5sqrt18-sqrt28+sqrt63-sqrt8`

= `5sqrt(2xx3xx3)-sqrt(2xx2xx7)+sqrt(3xx3xx7)-sqrt(2xx2xx2)`

= `5xx3xxsqrt2-2xxsqrt7+3xxsqrt7-2xxsqrt2`

= `15sqrt2-2sqrt7+3sqrt7-2sqrt2`

= `13sqrt2+sqrt7`