Question

Find the square root of 3364 using prime factorization

Answer 1

3364/2=1682/2=841/29=29/29=1
3364=2*2*29*29

Answer 2

Answer:

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,

$3364=2\times 2\times 29\times 29$

Pairing in two to get the perfect square,

$3364=2^2\times 29^2$

$3364=(2\times 29)^2$

$3364=(58)^2$

Taking square root both side,

$\sqrt{3364}=58$

Therefore, The square root of 3364 is 58.