Question

Find the smallest no.by which 1100 must be multiplied so that the product becomes a perfect square also find the square root of the perfect square so obtained​

Answer 1

Answer:

11

Step-by-step explanation:

$the \: prime \: factorisation \: of \: 1100 \: is \: as \: follows \\ 1100 = 11 \times 10 \times 10 \\ to \: be \: a \: perfect \: square \: the \: prime \: factorisation \: of \: that \: no. \\ should \: be \: in \: pairs \: here \: the \: no. \: 11 \: do \: not \: have \: \\ pair \: so \: the \: no.1100 \: should \: be \: multiplied \: by \: 11$

$the \: prime \: factorisation \: \: of \: the \: no. \: formed \\ will \: be \: \\ 11 \times 11 \times 10 \times 10 \\ so \: square \: root \: will \: b e \: \: 110$

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