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Find 15211849\sqrt{\frac{1521}{1849}}18491521​​​​
Question

Find 15211849\sqrt{\frac{1521}{1849}}​​

A.

2923\frac{29}{23}​​

B.

3943\frac{39}{43}​​

C.

3233\frac{32}{33}​​

D.

3756\frac{37}{56}​​

Correct option is B

Given:

15211849\sqrt{\frac{1521}{1849}}​​
Formula Used:

ab=ab\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}​​

Solution: 

Value of 
1521=39\sqrt{1521} = 39​, 1849=43\sqrt{1849} = 43 

So, 
15211849=3943\sqrt{\frac{1521}{1849}} = \frac{39}{43}​​

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