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Find the Value Of: √ 1587 √ 1728 - Mathematics

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प्रश्न

Find the value of:

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

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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पाठ 3: Squares and Square Roots - Exercise 3.6 [पृष्ठ ४८]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 3 Squares and Square Roots
Exercise 3.6 | Q 2.3 | पृष्ठ ४८

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