Question

find the least number by which 200 must be multiplied to make it a perfect ​

Answer 1

Answer:

2

Thus, we must multiply 200 by 2, so that the product becomes a perfect square. 400 is a square of 20. So, the least number is 2, by which 200 must be multiplied so that the product becomes a perfect square.

Answer 2

Answer:

2

Step-by-step explanation:

To find the least number by which 200 must be multiplied so that the product becomes a perfect square, we have to find of the prime factors of 200.

Prime Factorization of 200 = 2 × 2 × 2 × 5 × 5

By grouping the factors in pair of two [(2*2 and 5*5)*2 = 200], we observe that a 2 is without pair.

Thus, we must multiply 200 by 2, so that the product becomes a perfect square.

⇒ 200 × 2 = 400

400 is a square of 20.

So, the least number is 2, by which 200 must be multiplied so that the product becomes a perfect square.