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    Solve the following. 30.0009+40.0016\frac{3}{\sqrt{0.0009}}+\frac{4}{\sqrt{0.0016}}0.0009​3​+0.0016​4​​ = ?
    Question

    Solve the following.
    30.0009+40.0016\frac{3}{\sqrt{0.0009}}+\frac{4}{\sqrt{0.0016}}​ = ?

    A.

    1/200

    B.

    1/50

    C.

    200

    D.

    100

    Correct option is C

    Given: 

    30.0009+40.0016\frac{3}{\sqrt{0.0009}} + \frac{4}{\sqrt{0.0016}}​​

    Solution:

    30.0009+40.0016\frac{3}{\sqrt{0.0009}} + \frac{4}{\sqrt{0.0016}} 

    ​ the square roots 

    0.0009=0.03\sqrt{0.0009} = 0.03  

    (because 0.0320.03^2​=0.0009)

    ​​0.0016=0.04\sqrt{0.0016} = 0.04 

    (because 0.0420.04^2​=0.0016)

    Substitute the simplified square roots back into the expression.

    =30.03+40.04 \frac{3}{0.03} + \frac{4}{0.04}  

    3003+4004 \frac{300}{3} + \frac{400}{4} ​​

    = 100 + 100

    = 200 

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