Find the square root of the fraction 841 1521 by division method.

Given fraction is 841 1521 To find out the square root of fraction, we use the following formula: Square root of a fraction = square root of its numerator square root of its denominator Now square root of 841 , 29 2 8 ¯ 41 ¯ 4 49 441 441 0 Square root of 1521 , 39 3 15 ¯ 21 ¯ 9 69 621 621 0 So, 841 1521 = 841 1521 = 29 39 Hence, the square root of fraction 841 1521 is 29 39 .

Find the square root of the fraction 8 257 529 by division method.

Given mixed fraction is 8 257 529 First convert the mixed fraction into improper fraction, we get 8 257 529 = 8 × 529 + 257 529 = 4489 529 To find out the square root of fraction, we use the following formula: Square root of a fraction = square root of its numerator square root of its denominator Now square root of 529 , 23 2 5 ¯ 29 ¯ 4 43 129 129 0 Square root of 4489 , 67 6 44 ¯ 89 ¯ 36 127 889 889 0 So, 4489 529 = 4489 529 = 67 23 Again converting improper fraction into mixed fraction, we get 67 23 = 2 21 23 Hence, the square root of 8 257 529 is 2 21 23 .

Find the square root of the fraction 16 169 441 by division method.

Given mixed fraction is 16 169 441 Converting the mixed fraction into an improper fraction, we get 16 169 441 = 16 × 441 + 169 441 = 7225 441 To find out the square root of fraction, we use the following formula: Square root of a fraction = square root of its numerator square root of its denominator Now square root of 441 , 21 4 4 ¯ 41 ¯ 4 41 41 41 0 Square root of 7225 , 85 8 72 ¯ 25 ¯ 64 165 825 825 0 So, 7225 441 = 7225 441 = 85 21 Again converting improper fraction into mixed fraction, we get 85 21 = 4 1 21 Hence, the square root of 16 169 441 is 4 1 21 .