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Question
Compare the following pair of surd.
`4 sqrt 42, 9 sqrt 2`
Sum
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Solution
Since, `4 sqrt 42 = sqrt(16 xx 42) = sqrt 672` and
`9 sqrt 2 = sqrt (81 xx 2) = sqrt 162`
`sqrt 672 > sqrt 162`
So, `4 sqrt 42 > 9 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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