Question

find the square root of the following numbers by the prime factorization method 5929

Answer 1

7 | 5929

7 | 847

11 | 121

11 | 11

5929 = 7 × 7 × 11 × 11

sqrt ( 5929) = 7 × 11

= 77

Answer 2

$5929 = 7 \times 7 \times 11 \times 11 \\ \sqrt{5929} = \sqrt{7 \times 7 \times 11 \times 11} \\ = \sqrt{ {7}^{2} \times {11}^{2} } \\ = 7 \times 11 \\ = 77$