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

Question

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

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Cora 2 weeks 2021-09-04T17:56:04+00:00 1 Answer 0 views 0

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    2021-09-04T17:57:29+00:00

    \huge\sf\pink{Answer}

    ☞ 77 should be multiplied to make 693 a perfect square

    \rule{110}1

    \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?

    \rule{110}1

    \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

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18:9+8+9*3-7:3-1*13 = ? ( )