Question

Given that the Prime factorization of 9081 is:
3 x 3 x 3 x 3 x 11 x 11,
find 3(power 3)√9081 without using calculator!
Can you explain it to me?

Answer 1

The square root of 9801 is 99

Step-by-step explanation:

We are supposed to find the square root of 9801 by prime factorization

So,

3 | 9801

3 | 3267

3 | 1089

3 | 363

11 | 121

11 |  11

 |  1

$9801 = 3×3×3×3×11×11$

$\sqrt{9801} = \sqrt{3×3×3×3×11×11}$

$\sqrt{9801} 3×3×11$

$\sqrt{9801} = 99$

Hence the square root of 9801 is 99