Question

find the smallest whole number by which 90 should be multiplied so as to get a
perfect square number
(a)9
(b)3
(c)10
(d)90​

Answer 1

Option (c) is the correct answer

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Answer 2

To Find:-

• Find the smallest number.

Solution:-

Given,

• Something should be multiplied with 90 so that it should be a perfect square.

To get the number be have to do prime factorization of 90.

90 = 3 × 3 × 5 × 2

In the Prime Factorization 5 and 2 aren't unpaired.So we have to multiply both then the result is the smallest number which should be multiplied.

5 × 2 = 10

So,

90 × 10

= 900

Verification:-

√900 = 30

∴ The smallest number that should be multiplied is 10.