Simplify \(\frac{\sqrt{5}(\sqrt{147} – \sqrt{12}}{\sqrt{15}}\)
-
5
- \(\frac{1}{5}\)
- \(\frac{1}{9}\)
- 9
The correct answer is: A
Explanation
\(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)\(\frac{\sqrt{5}(\sqrt{49 \times 3} - \sqrt{4 \times 3}}{\sqrt{5 \times 3}}\)
\(\frac{\sqrt{5}(7\sqrt{3} - 2\sqrt{3}}{\sqrt{5} \times \sqrt{3}}\)
\(\frac{\sqrt{3} (7 - 2}{\sqrt{3}}\)
= 5
There is an explanation video available .