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For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained. ii. 180

For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.  ii. 180

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student
180 = 2×2×3×3×5
= (2×2)×(3×3)×5
Here, 5 cannot be paired.
∴ We will multiply 180 by 5 to get perfect square.Newnumber=180×5=900

900 = 2×2×3×3×5×5×1
⇒ 900 = (2×2)×(3×3)×(5×5) ⇒ 900 = 22×32×52
⇒ 900 = (2×3×5)2⇒√900=2×3×5=30
Thanks

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