Question

3) Find the smallest whole number by which 2028 should be multiplied so as to get

a perfect square number. Also find the square root of the square number so

obtained.​

Answer 1

Answer:

2×2

×

13×13

×3

Prime factor 3 is not in pairs, so 3 has to be multiplied to get the perfect square.

=2028×3=6084

Answer 2

Answer:The smallest whole number by which 2028 should be multiplied to get perfect square is 3

Step-by-step explanation:

By prime factorization of 2028, we get

2028 = 2 x 2 x 3 x 13 x 13

Here, 2 and 13 are in pair, but 3 needs a pair to make 2028 a perfect square.

Thus, 2028 needs to be multiplied by 3 to become a perfect square.

2028 ×3 = (2 x 2) x (3 x 3)×(13 x 13)

Therefore, the number 6084 has 3 pairs of equal prime factors .

Hence, 6084 is a perfect square & √ 6084= 2×3×13=78