Question

find the square root of 8100 by prime factorization method

Answer 1

hey . here is your answerr

Answer 2

Answer:

The square root of 8100 is 90

Step-by-step explanation:

Given the number 8100

we have to find the square root of above number by prime factorization method.

The prime factors of 8100 is

$8100=2 \times 2\times 3 \times 3 \times 3 \times 3 \times 5 \times5=2^2\times 3^4\times 5^2$

$\sqrt{8100}=\sqrt{(2 \times 2)\times (3 \times 3) \times (3 \times 3) \times (5 \times5)}$

To find square root we have to write one number for each pair

$\sqrt{8100}=2\times 3\times 3\times 5=90$

Hence, the square root of 8100 is 90