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Question
State, whether the following number is rational or not :
`( [√7]/[6sqrt2])^2`
Solution
`( [√7]/[6sqrt2])^2`
= `( √7 )^2/( 6^2 xx √2)^2 ...[∵ (a/b)^2 = a^2/b^2]`
= `7/[ 36 xx 2 ]`
= `7/72`
`7/72` is rational Number
∴ `( [√7]/[6sqrt2])^2` is a rational Number.
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