Question

Find the smallest 693 whole number by which 693 is multipled so that it becomes a perfect square

Answer 1

$\huge\sf\pink{Answer}$

☞ 77 should be multiplied to make 693 a perfect square

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$\huge\sf\blue{Given}$

✭ 693 will be multiplied by a number and the product is a perfect square

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ The Number by which it is multiplied?

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$\huge\sf\purple{Steps}$

First we shall find the prime factors, that is,

$\sf \dashrightarrow 693 = 3 \times 3 \times 4 \times 11$

$\sf \dashrightarrow 693 = {3}^{2} \times 7 \times 11$

Now we shall assume that the smallest Number to be multiplied as k,so

$\sf \twoheadrightarrow 693 = {3}^{2}\times 7 \times 11$

$\sf\twoheadrightarrow 693k = {3}^{2}\times {7}^{2}\times {11}^{2}$

$\sf\twoheadrightarrow k = 7\times 11$

$\orange{\sf \twoheadrightarrow k = 77}$

$\rule{170}3$