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प्रश्न
Simplify the following:
`sqrt(75) - sqrt(12) + sqrt(27)`
सोपे रूप द्या
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उत्तर
Given,
`sqrt(75) - sqrt(12) + sqrt(27)`
Convert the surds in simplest form by finding the prime factors of each surd.
= `sqrt(5 xx 5 xx 3) - sqrt(2 xx 2 xx 3) + sqrt(3 xx 3 xx 3)`
= `5sqrt(3) - 2sqrt(3) + 3sqrt(3)`
= `5 - 2 + 3sqrt(3)`
= `6sqrt(3)`
Thus, the required is `6sqrt(3)`.
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