Question 42

$$(\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}})\div\sqrt{\frac{16}{81}}=?$$

Solution

$$(\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}})\div\sqrt{\frac{16}{81}}=x$$ This can be simplified as

$$(\frac{15}{27}-\frac{5}{12})\div\frac{4}{9}=x$$

$$(\frac{5}{36})*\frac{9}{4}=x$$

x=$$\frac{5}{16}$$. Hence, option A is the correct answer.

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