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Find the value of ​125+344+289\sqrt{{125} + \sqrt{{344} + \sqrt{289}}}125+344+289​​​​.
Question

Find the value of ​125+344+289\sqrt{{125} + \sqrt{{344} + \sqrt{289}}}​.

A.

7

B.

12

C.

8

D.

22

Correct option is B

Given: 

125+344+289\sqrt{{125} + \sqrt{{344} + \sqrt{289}}} 

Solution: 

125+344+289 =125+344+17 =125+19 =12\sqrt{{125} + \sqrt{{344} + \sqrt{289}}} \\ \ \\ = \sqrt{{125} + \sqrt{{344} + 17}} \\ \ \\ = \sqrt{{125} + 19}\\ \ \\ = 12​​

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