Question 128

The value of $$\frac{1}{\sqrt{17 + 12\sqrt{2}}}$$ is closest to .......

Solution

$$\frac{1}{\sqrt{17 + 12\sqrt{2}}}$$

= $$\frac{1}{\sqrt{17 + 12\times 1.414}}$$

= $$\frac{1}{\sqrt{17 + 16.97}}$$

= $$\frac{1}{\sqrt{34}}$$

= $$\frac{1}{6}$$ = 0.166 = 0.17(Approx)


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