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Question
Find the value of:
\[\frac{\sqrt{1587}}{\sqrt{1728}}\]
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Solution
We have:
`sqrt1587/sqrt1728=sqrt(529/576)` (by dividing both numbers by 3)
Computing the square roots of the numerator and the denominator:
`sqrt529=sqrt(23xx23)=23`
`sqrt576=sqrt(24xx24)=24`
\[\therefore\] `sqrt1587/sqrt1728=23/24`
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