Question

6. Find the square root of 91216 by prime factorisation method and by division

method.,​

Answer 1

Question :- Find the square root of 91216 by prime factorisation method and by division method.

Answer :- A = Multiply all the double prime factors (pairs) of 91216 and then take the square root of that product. The prime factors that multiply together to make 91216 are 2 x 2 x 2 x 2 x 5701. When we strip out the pairs only, we get 2 x 2 x 2 x 2 = 16 and the square root of 16 is 4. Therefore, A equals 4.

B = Divide 91216 by the number (A) squared. 4 squared is 16 and 91216 divided by 16 is 5701. Therefore, B equals 5701.

Once again we have A and B and can get our answer to 91216 in its simplest radical form as follows:

√91216 = A√B

√91216 = 4√5701