Question

square root of 3364 by prime factorization method

Answer 1

Step-by-step explanation:

The square root of 3364 is 58.

Step-by-step explanation:

Given : Number 3364.

To find : The square root of the number using prime factorization ?

Solution :

First we factor the number,

3364=2\times 2\times 29\times 293364=2×2×29×29

Pairing in two to get the perfect square,

3364=2^2\times 29^23364=2

2

×29

2

3364=(2\times 29)^23364=(2×29)

2

3364=(58)^23364=(58)

2

Taking square root both side,

\sqrt{3364}=58

3364

=58

Therefore, The square root of 3364 is 58.