Question

How do you add `sqrt32+9sqrt2-sqrt18`?

Answer 1

`sqrt32+9sqrt2-sqrt18=10sqrt2`

Explanation:

`sqrt32+9sqrt2-sqrt18`

= `sqrt(ul(2xx2xx2xx2)xx2)+9sqrt2-sqrt(ul(3xx3)xx2)`

= `2xx2xxsqrt2+9sqrt2-3sqrt2`

= `4sqrt2+9sqrt2-3sqrt2`

= `(4+9-3)sqrt2`

= `10sqrt2`