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Find the value of  625+625100+62510000+6251000000\sqrt{625}+\sqrt{\frac{{625}}{100}}+\sqrt{\frac{{625}}{10000}}+\sqrt{\frac{{625}}{1000000}}
Question

Find the value of  625+625100+62510000+6251000000\sqrt{625}+\sqrt{\frac{{625}}{100}}+\sqrt{\frac{{625}}{10000}}+\sqrt{\frac{{625}}{1000000}}​​

A.

27.075

B.

27.775

C.

27.75

D.

27.025

Correct option is B

Solution: 

=625+625100+62510000+6251000000 =25+2510+25100+251000 =25+2.5+0.25+0.025 =27.775=\sqrt{625}+\sqrt{\frac{{625}}{100}}+\sqrt{\frac{{625}}{10000}}+\sqrt{\frac{{625}}{1000000}} \\ \ \\ =25+{\frac{{25}}{10}}+{\frac{{25}}{100}}+{\frac{{25}}{1000}} \\ \ \\ = 25 + 2.5 + 0.25+0.025 \\ \ \\ = \bf 27.775​​

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