What is sqrt(8)+sqrt(18)-sqrt(32)?

1 Answer
Mar 11, 2018

9sqrt2

Explanation:

Before we start, do you notice something? The numbers 8, 18, and 32 are perfect squares multiplied by 2.

sqrt8+sqrt18-sqrt32

Split up the invidual square roots,

(sqrt4xxsqrt2)+(sqrt9xxsqrt2)+(sqrt16xxsqrt2)

Square root the perfect squares,

2sqrt2+3sqrt2+4sqrt2

Add them all up,

9sqrt2

Done :D