Question 136

The value of $$\sqrt{11 + 2\sqrt{18}}$$ is closest to:

Solution

Given that $$\sqrt{11 + 2\sqrt{18}}$$

$$\Rightarrow \sqrt{11 + 2 \times 3\sqrt{2}}$$

$$\Rightarrow \sqrt{11 + 6\sqrt{2}}$$

$$\Rightarrow \sqrt{11 + 6\times 1.44}$$

$$\Rightarrow \sqrt{11 + 8.64}$$

$$\Rightarrow \sqrt{19.64}$$

$$\Rightarrow 4.4142$$ = 4.4 Ans

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