Find the Square Root Of: 38 11 25 - Mathematics

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Find the square root of:

\[38\frac{11}{25}\]

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Solution

 We know: 

\[\sqrt{38\frac{11}{25}} = \sqrt{\frac{961}{25}} = \frac{\sqrt{961}}{\sqrt{25}}\]

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

\[\sqrt{961} = 31\]
\[\sqrt{25} = 5\]
\[ \therefore \sqrt{38\frac{11}{25}} = \frac{31}{5}\]

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

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RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.6 | Q 1.12 | Page 48

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