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Question
Find the odd one out of the following.
Options
`sqrt(32) xx sqrt(2)`
`sqrt(27)/sqrt(3)`
`sqrt(72) xx sqrt(8)`
`sqrt(54)/sqrt(18)`
Solution
`bb(sqrt(54)/sqrt(18))`
Explanation:
`sqrt(32) xx sqrt(2) = 64`
= `sqrt(4^2 xx 4)`
= 4 × 2
= 8
`sqrt(27)/sqrt(3)`
= `sqrt(9)`
= 3
`sqrt72 xx sqrt8 = sqrt(3 xx 3 xx 2 xx 2 xx 2) xx sqrt(2 xx 2 xx 2)`
= `3 xx 2sqrt2 xx 2sqrt2`
= 3 × 4 × 2
= 24
`sqrt(54)/sqrt(18) = sqrt(3/1)`
= `sqrt3`
= 1.7320
∴ `sqrt(54)/sqrt(18)` It is an odd number.
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