Question

the smallest number by which 48 should be multiplied so as to get a perfect square is 3.with solution​

Answer 1

Yes the statement is True.

48=2×2×2×2×3

If you take the pairs of these factors, we get 2×2 however 3 is left unpaired

Hence we multiply with three on both sides

So the pairs come out as 2×2×3=12

If you verify?

48×3=144

12^2=144

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Answer 2

Given:

To explain: the smallest number by which 48 should be multiplied so as to get a perfect square is 3

Solution:

Find the factors of 48 and make pair of them,

$\[ = 4 \times 4 \times 3\]$

Observe that the 3 is a unpaired factor of 48.

So that, if we multiply 3 with 48 then it will become a perfect square.

Hence, the smallest number by which 48 should be multiplied so as to get a perfect square is 3