Question

Find the value of :
a) $\frac{\sqrt{100\times 225}}{\sqrt{289-33}}$.
b) $\frac{\sqrt{225}+\sqrt{49}}{\sqrt{64}-\sqrt{36}}$.

Answer 1

a) $\frac{\sqrt{100\times 225}}{\sqrt{289-33}}$ $=$ $\frac{\sqrt{100\times 225}}{\sqrt{256}}$

$=$ $\frac{\sqrt{10\times 10\times 15\times 15}}{\sqrt{16\times 16}}$

$=$ $\frac{10\times 15}{16}$ $=$ $\frac{75}{8}$.

b)$\frac{\sqrt{225}+\sqrt{49}}{\sqrt{64}-\sqrt{36}}$ $=$ $\frac{15+7}{8-6}$

$=$ $\frac{22}{2}$ $=11$ .