Question

find the square root of 441 by prime factorization method ​

Answer 1

Answer:

21

Step-by-step explanation:

441= 3×3×7×7

√441= √(3×3×7×7)

√441= 3×7

√441= 21

Hope It Helps :)

Answer 2

: Concept

$\implies$The Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers.

$\implies$For example, the prime factors of 126 will be 2, 3 and 7 as 2 × 3 × 3 × 7 = 126 and 2, 3, 7 are prime numbers.

$\hookrightarrow$ For example, Prime factorization of

12 is 2 x 2 x 3 = 22 x 3

18 is 2 x 3 x 3 = 2 x 32

24 is 2 x 2 x 2 x 3 = 23 x 3

20 is 2 x 2 x 5 = 22 x 5

: Solution

$\hookrightarrow$ We have to find the square root of 441.

$\hookrightarrow$ By using the prime factorization method we are going to find the square root of a given number are :

441=3×147

=3×3×49

=3×3×7×7

=32×72

√441 = √32 x 72

√441 = 3×7

√441 = 21