Question

find the square root of each of the following by prime factorisation: of 9,36,484,900,4225,3969,5184,8100.​

Answer 1

Answer:

9 = 3

36 = 6

484 = 22

900=30

4225=65

3969=63

5184=72

8100=90

Answer 2

Step-by-step explanation:

$\sqrt{9} = \sqrt{3 \times 3} = 3 \\ \\ \sqrt{36} = \sqrt{2 \times 2 \times 3 \times 3} = 2 \times 3 = 6 \\ \\ \sqrt{484} = \sqrt{2 \times 2 \times 11 \times 11} = 2 \times 11 = 22 \\ \\ \sqrt{900} = \sqrt{2 \times 2 \times 3 \times 3 \times 5 \times 5} = 2 \times 3 \times 5 = 30 \\ \\ \sqrt{4225} = \sqrt{5 \times 5 \times 13 \times 13} = 5 \times 13 = 65 \\ \\ \sqrt{3969} = \sqrt{3 \times 3 \times 3 \times 3 \times 7 \times 7} = 3 \times 3 \times 7 = 63 \\ \\ \sqrt{5184} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3} = 2 \times 2 \times 2 \times 3 \times 3 = 72 \\ \\ \sqrt{8100} = \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5} = 2 \times 3 \times 3 \times 5 = 90$

Hope it helps