Question

find the squre root of 2028 by prime factorization method​

Answer 1

Answer:45.033

Step-by-step explanation:

Answer 2

Hey mate

Step-by-step explanation:

The prime factorization of 2028 is

2028 = 2 × 2 × 3 × 13 × 13 

Here you can see that 2 and 13 are in pairs but 3 doesn't have a pair . So 2028 is not a perfect square.

( If you want it as a perfect square

When we multiply 2028 with 3. The product is 2028 × 3 = 6084

The prime Factorization of 6084 is

6084 = 2 × 2 × 3 × 3 × 13 × 13

All numbers are paired. Hence, 6084 is a perfect square. The Square root is :

= 2 × 3 × 13

= 6 × 13

= 78 )

The square root of 2028 is approximately 45.033

Hope this helps....