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If (584)2=3,41,056(584)^2 = 3,41,056(584)2=3,41,056, then the value of square root of 34.1056 is:​
Question

If (584)2=3,41,056(584)^2 = 3,41,056, then the value of square root of 34.1056 is:​

A.

0.0584

B.

0.000584

C.

0.584

D.

5.84

Correct option is D

Given:

(584)2=341056(584)^2 = 341056​​

Formula Used:

x=Square root of integer part10decimal places/2.\sqrt{x} = \frac{\text{Square root of integer part}}{10^{\text{decimal places/2}}}. ​​

Solution:

341056=584\sqrt{341056} = 584​​

For 34.1056:

34.1056=584102=5.84\sqrt{34.1056} = \frac{584}{10^2} = 5.84 ​​

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