Question

If y is the smallest positive integer such that 3150 multiplied by y is the square of an integer then y must be

Answer 1

Answer:

14

Step-by-step explanation:

3150 = 2×3²×5²×7, now 3150 × y to be a perfect square must complete the odd powers of 2 and 7 to even number (perfect square has even powers of its primes), so the least value of is 2*7=14.

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Answer 2

First of all we have to take the

LCM of 3150= 2×3×3×5×5×7

So we can see here that 2×7 is left from being pairing.

For making this number a perfect square minimum number we have to multiply 2×7=14

The answer is 14