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प्रश्न
`sqrt(45) - 4sqrt(5) + sqrt(20)` when simplified is ______.
पर्याय
`-3sqrt(5)`
`5sqrt(5)`
`-sqrt(5)`
`sqrt(5)`
MCQ
रिकाम्या जागा भरा
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उत्तर
`sqrt(45) - 4sqrt(5) + sqrt(20)` when simplified is `underlinebb(sqrt(5))`.
Explanation:
Let’s simplify each term:
`sqrt(45)`
= `sqrt(9 xx 5)`
= `3sqrt(5)`
Remains as is `-4sqrt(5)`
`sqrt(20)`
= `sqrt(4 xx 5)`
= `2sqrt(5)`
Now combine:
`sqrt(45) - 4sqrt(5) + sqrt(20)`
= `3sqrt(5) - 4sqrt(5) + 2sqrt(5)`
= `(3 - 4 + 2)sqrt(5)`
= `1sqrt(5)`
= `sqrt(5)`
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