Q4. Find the smallest number by which 2925 must be divided so that the quotient is a perfect square. Find the square root of the quotie

Question

Q4. Find the smallest number by which 2925 must be divided so that the quotient is a
perfect square. Find the square root of the quotient.​

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Ariana 3 weeks 2021-09-07T07:18:51+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-07T07:20:16+00:00

    Solution :

    \bigstarFirstly, we get L.C.M of 2925;

    \begin{array}{r|l} 3 & 2925 \\ \cline{2-2} 3 & 975 \\ \cline{2-2} 5 & 325 \\ \cline{2-2} 5 & 65 \\ \cline{2-2} 13 & 13 \\ \cline{2-2} & 1\end{array}

    Prime factorization of 2925 = 3 × 3 × 5 × 5 × 13

    13 is not pair

    The smallest number to be divided is 13

    \longrightarrow\sf{\cancel{\dfrac{2925}{13} }}\\\\\longrightarrow\bf{225}

    Square root :

    \longrightarrow\sf{\sqrt{225} =\sqrt{3\times 3\times 5\times 5} }\\\\\longrightarrow\sf{\sqrt{225} =\sqrt{(3)^{2} \times (5)^{2} } }\\\\\longrightarrow\sf{\sqrt{225}=3\times 5}\\\\\longrightarrow\bf{\sqrt{225} =15}

    Thus;

    The number whose square is 225 is 15 .

    0
    2021-09-07T07:20:20+00:00

    Answer:

    13 is perfect square. tyho

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