Simplify \(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)
A
5
B
\(\frac{1}{5}\)
C
\(\frac{1}{9}\)
D
9
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)
\(\frac{\sqrt{5}(\sqrt{49 \times 3} - \sqrt{4 \times 3}}{\sqrt{5 \times 3}}\)
\(\frac{\sqrt{5}(7\sqrt{3} - 2\sqrt{3}}{\sqrt{5} \times \sqrt{3}}\)
\(\frac{\sqrt{3} (7 - 2}{\sqrt{3}}\)
= 5
Source: Myschool Past Questions Archive (Record #27044)