Question

14. Find the least number by which 200 must be multiplied to make it a perfect square. ​

Answer 1

Answer: 2

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

Step-by-step explanation:

Prime Factorisation 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.

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Answer 2

The least no by which 200 must be multiplied so as to make it a perfect squre is 2

Step-by-step explanation:

First take out the prime Factorization of 200 n we get 2*2*2*5*5. We can arrange it by 2²*5²*2 so in order to make 200 a perfect square we must multiply it by 2