Question

find the least number by which should 300 be multipled to get a perfect square​

Answer 1

Answer:

We can see that 3 remains without a pair. Hence we need to multiply 300 by 3 in order to make it a perfect square. Therefore, the square root of the required number is 30.

Step-by-step explanation:

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Answer 2

Answer:

30

Step-by-step explanation:

300=2×2×5×5×3

We can see that 3 remains without a pair. Hence we need to multiply 300 by 3 in order to make it a perfect square.

Multiplying 300 by 3, we get

300×3=2×2×3×3×5×5

900=22×32×52

Now, taking square root of both sides, we get

√900=√(22×32×52)

Therefore, the square root of the required number is 30.

Note: In these types of questions in which you need to find the square root of any number, firstly you should write that number in the form of multiplication of its prime factors and then make pairs of the same prime factors. After that take one number from each pair and multiply them all. The resulting number you will get, would be the required square root.

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