Find the least number by which 2888 should be multiplied to obtain a perfect square. Also, find the square root of the number so obtained.

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2, 76

10, 76

4, 76

1, 76

answer is A.

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Detailed Solution

Prime Factorisation of 2888 = 2 × 2 × 2 × 19 × 19
Here, we can see number 2 is left out.
So, we are going to multiply by 2 both sides,
2888 × 2 = (2×2) × (2×2) × (19×19)
5776 = (2×2×19) × (2×2×19)
5776 = 76×76

5776

= 76
Hence, option 1 is correct.

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