Question 36

$$ Simplify:\sqrt \frac{(2.3)^2 + (23.3)^2 + (233.3)^2 }{ ( 0.23)^2 + (2.33)^2 + (23.33)^2} $$

Solution

$$\sqrt{\frac{(2.3)^2+(23.3)^2+(233.3)^2}{(0.23)^2+(2.33)^2+(23.33)^2}}$$

$$=\sqrt{\frac{100\left((2.3)^2+(23.3)^2+(233.3)^2\right)}{100\left((0.23)^2+(2.33)^2+(23.33)^2\right)}}$$

$$=\sqrt{\frac{100\left((2.3)^2+(23.3)^2+(233.3)^2\right)}{(2.3)^2+(23.3)^2+(233.3)^2}}$$

$$=\sqrt{100}.$$

$$=10.$$

D is correct choice.

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