Question 58

The square roots of how many factors of 2250 will be natural numbers?

Solution

Factors of 15 $$= 5\times5\times5\times3\times3\times3\times2$$

$$=5^3\times3^3\times2$$

So square roots of factors of 2250 will be natural numbers $$= 5^2, 2^2, 15^2, 1^2$$

So there are 4 square roots of 2250 which will be natural numbers.

Option B is correct.

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