Question

For each of the following numbers, find the smallest natural number by which i
should be multiplied so as to get a perfect square Also find the square root of the square number so obtained (i) 588
(ii) 720
(iii) 2178 (iv) 3052 (v) 6300

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Answer 1

Answer:

2178=2×3×3×11×11

We know that

By pairing the same kind of factors, one factors 2 is left unpaired.

So to make it a pair we must multiply it by 2

Required least number =2

Square root of 2178×2=4356

Here

2×3×11=66