Question 17

If $$x = \left(\frac{1}{8}\right)$$, which of the following has the largest values?

Solution

$$x=\frac{1}{8}.$$

So,

$$\frac{x}{2}=\frac{1}{16}=0.0625.$$

$$x^2=\frac{1}{64}=0.015625.$$

$$\sqrt{x}=\sqrt{\frac{1}{8}}=0.3535.$$

$$\frac{1}{x}=8.$$

So, $$\frac{1}{x}\ is\ largest\ .$$

D is correct choice.

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