Question

`sqrt(250) + sqrt(160)` is equals to ______.

विकल्प

• `sqrt(410)`

• 200

• `9sqrt(10)`

• `33sqrt(10)`

Answer 1

`sqrt(250) + sqrt(160)` is equals to `underlinebb(9sqrt(10))`.

Explanation:

We need to simplify:

`sqrt(250) + sqrt(160)`

Step 1: Factorize each term

`sqrt(250)`

= `sqrt(25 xx 10)`

= `5sqrt(10)`

`sqrt(160)`

= `sqrt(16 xx 10)`

= `4sqrt(10)`

Step 2: Add them

`sqrt(250) + sqrt(160)`

= `5sqrt(10) + 4sqrt(10)`

= `9sqrt(10)`