Question

Find the smallest number by which 2028 has to be multiplied so as to get a perfect square.PLEASE ANYONE HELP ME TO GET THE ANSWER

Answer 1

Answer:

Step-by-step explanation:

Hey Mate !!

The prime Factorization of 2028 is,

2028 = 2 × 2 × 3 × 13 × 13

Here, We can see the number 2 is paired 1 time and 13 is paired 1 time while 3 is remained unpaired.

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

Therefore,

The Square root of 6084 is 78

Answer 2

Answer:2

Step-by-step explanation: