Question

What is the simplified form of the expression
2 radical 18 - 5 radical 32

Answer 1

-14√2

Explanation:

Note that 18 = 2*9, and that 9 is a perfect square. Therefore,

2*√18 = 2*3*√2, or 6√2.

Next, note that 32 = 2*16, and that 16 is a perfect square. Therefore,

-5*√32 = -5*√2*√16, or -5*√2*4, or -20√2.

Combining these two results, we get:

6*√2 - 20√2, or -14√2