Question

find the square root of 441 by prime factorisation method

Answer 1

21 is the square root of 441 in which 3 and 7 is common and then 3*7=21

Answer 2

Answer:

The square root of 441 is 21.

Step-by-step explanation:

Given : Number 441.

To find : The square root of 441 by prime factorization method ?

Solution :

First we factor 441,

$441=3 \times3\times7\times 7$

$441=3^2\times7^2$

Taking root both side,

$\sqrt{441}=\sqrt{3^2\times7^2}$

$\sqrt{441}=3\times7$

$\sqrt{441}=21$

Therefore, The square root of 441 is 21.