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Find the Square Root Of: 3 942 2209 - Mathematics

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Question

Find the square root of:

\[3\frac{942}{2209}\]

Solution

We know:

\[\sqrt{3\frac{942}{2209}} = \sqrt{\frac{7569}{2209}} = \frac{\sqrt{7569}}{\sqrt{2209}}\]

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

\[\therefore \sqrt{3\frac{942}{2209}} = \frac{87}{47}\]

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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 1.09 | Page 48

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