मराठी

Find the Value Of: √ 1587 √ 1728

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प्रश्न

Find the value of:

\[\frac{\sqrt{1587}}{\sqrt{1728}}\]

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उत्तर

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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