Question

441 find square root by prime factorization​

Answer 1

Answer:

Determine the prime factorization of 441. 441 = 3 × 3 × 7 × 7. 441 = 32 × 72

Group the prime factors of 441 in pairs. 441 = 32 × 72

Pick one factor from each pair and the square root of 441 can be written as: √441 = √(32 × 72) √441 = √(3 × 7)2

Answer 2

The square root of 441 = 21      

Given:

Number 441

To find:

Find square root 441 by prime factorization​

Solution:

Prime factorization:

A number is said to be the prime number if it only contains two factors i.e 1 and the number itself. Prime factorization is the method of expressing a number as the product of prime numbers. If multiply the prime factors of a number the result will the number itself.

Here given number is

441

Here 441 can be written as given below

=> 441 = 3 × 3 × 7 × 7  

Here there are 2, 3's and 2, 7's

which means 441 = 3² × 7²  

From the above calculations,

√441 = 3 × 7 = 21

Therefore,

The square root of 441 = 21    

#SPJ2​