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Using Square Root Table, Find the Square Root 4192 - Mathematics

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Question

Using square root table, find the square root
4192 

Solution

\[\sqrt{4192} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 131}\]
\[ = 2 \times 2\sqrt{2} \times \sqrt{131}\]
 

The square root of 131 is not listed in the table. Hence, we have to apply long division to find it. 

Substituting the values:
            =  \[2 \times 2 \times 11 . 4455\] 

 (using the table to find \[\sqrt{2}\] )

    = 64.75

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Chapter 3: Squares and Square Roots - Exercise 3.9 [Page 61]

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RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.9 | Q 12 | Page 61

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