Question

`sqrt(32) + sqrt(50)` is equal to ______.

Options

• `3sqrt(2)`

• `5sqrt(2)`

• `7sqrt(2)`

• `9sqrt(2)`

Answer 1

`sqrt(32) + sqrt(50)` is equal to `underlinebb(9sqrt(2))`.

Explanation:

The expression to simplify is `sqrt(32) + sqrt(50)`.

Step 1: Simplify each square root individually.

`sqrt(32)`

= `sqrt(16 xx 2)`

= `4sqrt(2)`

`sqrt(50)`

= `sqrt(25 xx 2)`

= `5sqrt(2)`

Step 2: Add the simplified terms.

`4sqrt(2) + 5sqrt(2) = 9sqrt(2)`

Therefore, `sqrt(32) + sqrt(50) = 9sqrt(2)`.