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    If x=(2352÷1200)÷0.04x= (\sqrt{2352} \div \sqrt{1200}) \div \sqrt{0.04}x=(2352​÷1200​)÷0.04​​, then the value of x+1x−1\frac{x+1}{x-1}x−1x+1​​ is
    Question

    If x=(2352÷1200)÷0.04x= (\sqrt{2352} \div \sqrt{1200}) \div \sqrt{0.04}​, then the value of x+1x1\frac{x+1}{x-1}​ is:

    A.

    32\frac{3}{2}​​

    B.

    43\frac{4}{3}​​

    C.

    23\frac{2}{3}​​

    D.

    34\frac{3}{4}​​

    Correct option is B

    Given:

    x=(2352÷1200)÷0.04x= (\sqrt{2352} \div \sqrt{1200}) \div \sqrt{0.04}​​

    Solution:

    x=(2352÷1200)÷0.04x= (\sqrt{2352} \div \sqrt{1200}) \div \sqrt{0.04}​​

    x=(283÷203)÷(0.2)x= (28\sqrt{3} \div 20\sqrt{3}) \div (0.2)​​

    x=(283203)÷(0.2)x= \left(\frac{28\sqrt{3}}{20\sqrt{3}}\right) \div (0.2)​​

    x=75×10.2x= \frac{7}{5} \times \frac{1}{0.2}​​

    x = 7

    The value of  x+1x1=7+171=86\frac{x+1}{x-1} =\frac{7+1}{7-1} =\frac{8}{6}​​

    =43= \frac{4}{3}​​

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