Question

find the square root of 47089 by prime factorisation.

Answer 1

217 is the answer of the question

Answer 2

Answer:

217.

Step-by-step explanation:

Given : Number = 47089

To find :find the square root of 47089 by prime factorization.

Solution:

Prime Factorization

7   |  47089

7   |  6727

31  |   961

31  |    31

    |    1

So, $47089 = 7 \times 7 \times 31 \times 31$

$47089 = 7^2 \times 31^2$

$\sqrt{47089} = \sqrt{7^2 \times 31^2}$

$\sqrt{47089} = 7 \times 31$

$\sqrt{47089} = 217$

Hence the square root of 47089 by prime factorization is 217.