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Question
`sqrt(250) + sqrt(160)` is equals to ______.
Options
`sqrt(410)`
200
`9sqrt(10)`
`33sqrt(10)`
MCQ
Fill in the Blanks
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Solution
`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)`
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