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प्रश्न
Express the following surd in simplest form.
`sqrt(245)`
सोपे रूप द्या
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उत्तर
A surd is said to be in its simplest form when the number under the root sign has no square factors.
Given,
`sqrt(245)`
Prime factors of 245 is 5 × 7 × 7
So, `sqrt(5 xx 7 xx 7) = 7sqrt(5)`
Thus, the simplest form of `sqrt(245)` is `7sqrt(5)`.
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