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Question
Compare the following pair of surd.
`5 sqrt 5, 7 sqrt 2`
Sum
Solution
Since, `5 sqrt 5 = sqrt (25 xx 5) = sqrt 125` and
`7 sqrt 2 = sqrt (49 xx 2) = sqrt 98`
`sqrt 125 > sqrt 98`
So, `5 sqrt 5 > 7 sqrt 2`
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Comparison of Surds
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Chapter 2: Real Numbers - Practice Set 2.3 [Page 30]
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