Math, asked by shubh5071, 11 months ago

the number of digits in the square root of 298116 is​

Answers

Answered by priya1583766431
21
3 because it is a six digit number

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Answered by mitajoshi11051976
16
 {\huge{ \underline{ \underline{Answer \: : }}}}

 = \sqrt{298166} \\ \\ = \sqrt{149058 \times 2} \\ \\ = \sqrt{74529 \times 2 \times 2} \\ \\ = \sqrt{24843 \times 3 \times 2 \times 2} \\ \\ = \sqrt{8221 \times 3 \times 3 \times 2 \times 2} \\ \\ = \sqrt{1183 \times 7 \times 3 \times 3 \times 2 \times 2} \\ \\ = \sqrt{169 \times 7 \times 3 \times 3 \times 2 \times 2} \\ \\ = \sqrt{13 \times 13 \times 7 \times 7 \times 3 \times 3 \times 2 \times 2} \\ \\ = \sqrt{ {13}^{2} \times {7}^{2} \times {3}^{2} \times {2}^{2} } \\ \\ = 13 \times 7 \times 3 \times 2 \\ \\ = 546

\large\bold\red{Answer~is~546~.}

⛬ 546 is answer.

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sunil8997: They are asking digits, not the answer. So it should be 3.Is there any shortcut method for finding this out?
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