How do you add sqrt32+9sqrt2-sqrt18?

1 Answer
Apr 29, 2016

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