Is the number \left ( 3^{7} \right )\left ( 5^{11} \right )\left ( 15^{5} \right ) a perfect square?

  • Option 1)

    yes

  • Option 2)

    No

  • Option 3)

    can't\: be \: determined

  • Option 4)

    None \: of\: these

  • Option 5)

    -

Answers (1)

\left ( 3^{7} \right )\times \left ( 5^{11} \right )\times \left ( 15^{5} \right )

\Rightarrow \left ( 3^{7} \right )\times \left ( 5^{11} \right )\times \left ( 3^{5} \right )\times \left ( 5^{5} \right )

\Rightarrow \left ( 3^{6} \times 5^{8}\right )^{2}

Hence given number is perfect square

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