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P Given That: √ 2 = 1 . 414 , √ 3 = 1 . 732 , √ 5 = 2 . 236 and √ 7 = 2 . 646 , Ind the Square Roots of the Following: 196 75 - Mathematics

Given that: 

\[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text{ and } \sqrt{7} = 2 . 646,\]ind the square roots of the following: 

\[\frac{196}{75}\]

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Solution

From the given values, we can simplify the expressions in the following manner: 

\[ \sqrt{\frac{196}{75}} = \frac{14}{5\sqrt{3}} = \frac{14}{5 \times 1 . 732} = 1 . 617\]

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RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.8 | Q 5.1 | Page 57
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