P÷✓2=✓t/r+q express t in the terms of p and q​

Question

P÷✓2=✓t/r+q

express t in the terms of p and q​

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Nem 1 month 2021-07-31T19:26:19+00:00 1 Answers 3 views 0

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    2021-07-31T19:27:21+00:00

    Given:

    Consider the given equation is:

    p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}

    To find:

    The value of t in terms of p, q and r.

    Solution:

    We have,

    p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}

    It can be written as:

    \dfrac{p}{\sqrt{2}}=\sqrt{\dfrac{t}{r+q}}

    Taking square on both sides, we get

    \dfrac{p^2}{2}=\dfrac{t}{r+q}

    Multiply both sides by (r+q).

    \dfrac{p^2(r+q)}{2}=t

    Therefore, the required solution is t=\dfrac{p^2(r+q)}{2}.

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