Question

FIND the smallest number by which 1620 should be divided to get a perfect square . Find the square root of thd square number so obtained

Answer 1

first we need to find the prime factorization of the given number 1620

→ 1620= 2 x 2 x 3 x 3 x 3 x 3 x 5

$= {2}^{2} \times {3}^{2} \times {5}^{1}$

therefore, the smallest number by which 1620 should be divided to get a perfect square is 5.

now,

$\frac{1620}{5} = 324 \\ \\ \sqrt{324} = {2}^{2} \times {3}^{2} \times {3}^{2} \\ \\ = 2 \times 3 \times 3 = 18$
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