Question

find the smallest number by which 4410 must be multiplied to make it a perfect square. also find the square root of the perfect square so obtain.​

Answer 1

Answer:

METHODS:-

★Find all the prime factors.

★Make pairs

★See which factor remains unpaired.That unpaired factor is the number by which the given number should be multiplied to get a perfect square

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ANSWER:-

By prime factorisation

4410=2×3×3×5×7×7

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so grouping into pair we find that the factors 2 and 5 is unpaired.so one more 2 and 5 must be required which is the multiplication the both numbers 2×5=10.so 4410 must be multiplied by 10 to make it a perfect square.

Thus,4410×10=44100

44100=2×2×3×3×5×5×7×7

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Hence,√44100=210