Question 138

The value of $$\sqrt{9-2\sqrt{11-6\sqrt{2}}}$$ is closest to:

Solution

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$$\sqrt{9-2\sqrt{11-6\sqrt{2}}}$$

As per the given data,

$$\Rightarrow 6\sqrt{2}=6\times 1.414=8.484$$

Now, $$\sqrt{9-2\sqrt{11-8.484}}$$

$$\Rightarrow \sqrt{9-2\sqrt{2.526}}$$

$$\Rightarrow \sqrt{9-2\times 1.589}=2.4$$

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