Find the least number by which 300 is to be multiplied so that the number obtained is a perfect square? Also find the square root of resulting number.
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Answer:
Least number = 3
Square root = 30
Step-by-step explanation:
Since the prime factorisation of 300 = 2 x 2 x 3 x 5 x 5 = 3 x 2^2 x 5^2,
the least number by which 300 is to be multiplied so that the number obtained is a perfect square is 3.
Thus, the square root of 300 x 3 = 900 is 30.
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