Question

Find the square root:(1) 36/49 (2) 484/625 (3) 5x 19/25 (4) 72.25 (5) 39.69

Answer 1

$1) \sqrt{ \frac{36}{49} } = \sqrt{ \frac{6 \times 6}{7 \times 7} } = \frac{6}{7} \\ 2) \sqrt{ \frac{484}{625} } = \sqrt{ \frac{22 \times 22}{25 \times 25} } = \frac{22}{25} \\ 3) 5 \times \frac{19}{25} = \frac{144}{25} \\ \sqrt{ \frac{144}{25} } = \sqrt{ \frac{12 \times 12}{5 \times 5} } = \frac{12}{5} \\ 4)72.25 \\ = \frac{7225}{100} \\ \sqrt{ \frac{7225}{100} } = \sqrt{ \frac{85 \times 85}{10 \times 10} } \\ = \frac{85}{10} = 8.5 \\ 5)39.69 \\ = \sqrt{ \frac{3969}{100} } \\ \sqrt{ \frac{39 \times 39}{10 \times 10 } } \\ = \frac{39}{10} \\ 3.9$