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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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