Question

Find the smallest whole number by which 252 should be multiplied so as to get a perfect number. Also find the square root of the square number so obtained.
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Answer 1

Answer:

7 is the smallest whole number that should be multiplied so, as to get a perfect square

Step-by-step explanation:

the prime factorisation of 252 = 2×2×3×3×7

2 and 3 can make pairs but 7 can't

so, 7 should be multiplied to get a perfect square number

7 × 252 = 1764

∴ 1764 is perfect square

the prime factorisation of 1764 = 2×2×3×3×7×7

∴ it's square root will be 2×3×7 i.e 42

42 × 42 = 1764

hope it helps ...