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Question
Compare the following pair of surd.
`7sqrt2, 5 sqrt 3`
Sum
Solution
Since `7sqrt2 = sqrt (49 xx 2) = sqrt 98` and
`5 sqrt 3 = sqrt(25 xx 3) = sqrt 75`
`sqrt 98 > sqrt 75`
So, `7sqrt2 > 5sqrt3`
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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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