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Find the Square Root Of: 21 2797 3364 - Mathematics

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Question

Find the square root of:

\[21\frac{2797}{3364}\]

Solution

We know: 

\[\sqrt{21\frac{2797}{3364}} = \sqrt{\frac{73441}{3364}} = \frac{\sqrt{73441}}{\sqrt{3364}}\]

Now, let us compute the square roots of the numerator and the denominator separately.

\[\therefore \sqrt{21\frac{2797}{3364}} = \frac{271}{58}\]

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Chapter 3: Squares and Square Roots - Exercise 3.6 [Page 48]

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RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.6 | Q 1.11 | Page 48

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