Question

$\sqrt{52 \times 25 \div 82}$
what we will get answer please tell ​

Answer 1

Answer:

$\sqrt{52 \times 25 \div 82}$

Multiply 52 and 25 to get 1300.

$\sqrt{ \frac{1300}{82} }$

Reduce the fraction 1300/82 to lowest terms by extracting and canceling out 2.

$\sqrt{ \frac{650}{41} }$

Rewrite the square root of the division 650/41 as the division of square roots 650/41.

$\frac{ \sqrt{650} }{ \sqrt{41} }$

Factor 650=5^2×26. Rewrite the square root of the product 5^2×2^6 as the product of square roots 2^6/5^6. Take the square root of 5^2.

$\frac{5 \sqrt{26} }{41}$

Rationalize the denominator of 5\26/41 by multiplying numerator and denominator by 41.

$\frac{5 \sqrt{26} \sqrt{41} }{ (\sqrt{41} )^{2} }$

The square of \41 is 41.

$\frac{5 \sqrt{26} \sqrt{41} }{{41} }$

To multiply 26 and 41, multiply the numbers under the square root.

Answer is:

$\frac{5 \sqrt{1066} }{41}$