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Find the Square Root Of: 441 961 - Mathematics

Find the square root of:

\[\frac{441}{961}\] 

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Solution

We know: 

\[\sqrt{\frac{441}{961}} = \frac{\sqrt{441}}{\sqrt{961}}\]

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

\[\sqrt{441} = \sqrt{\left( 3 \times 3 \right) \times \left( 7 \times 7 \right)} = 3 \times 7 = 21\]
\[\sqrt{961} = \sqrt{31 \times 31} = 31\]
\[ \therefore \sqrt{\frac{441}{961}} = \frac{21}{31}\]

 

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.6 | Q 1.01 | Page 48
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