What should be multiplied to 4704 to make it a perfect square? Also write the number whose square is the resulting number
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Answer:
By prime factorisation of 1458, we get
1458=2×3×3×3×3×3×3
Here, 3 are in pairs but 2 needs a pair to make 1458 a perfect square.
So, 1458 needs to be multiplied by 2 to make it a perfect square.
Thus, the number is 1458×2=2916
2916
=
2×2×3×3×3×3×3×3
=2×3×3×3
=54
Thus 2 is the required smallest whole number to make the given number a perfect square.
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