Question

find the square roots of the following by prime factorisation method 9801​

Answer 1

Answer:

refer the following attachment

Answer 2

$9801 = 3 \times 3 \times 3 \times 3 \times 11 \times 11$

$\sqrt{9801 = \sqrt{3 \times 3 \times 3 \times 3 \times 11 \times 11} }$

$\sqrt{9801 = 3 \times 3 \times 11}$

$\sqrt{9801 = 99}$

Hence , The square root of 9801 is 99.