Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
A
4\(\sqrt{3}\)
B
\(\frac{4}{\sqrt{3}}\)
C
3\(\sqrt{3}\)
D
\(\frac{\sqrt{3}}{4}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
= \(\sqrt{9 \times 3}\) + \(\frac{3 \times {\sqrt{3}}}{{\sqrt{3}} \times {\sqrt{3}}}\)
= 3\(\sqrt{3}\) + \(\sqrt{3}\)
= 4\(\sqrt{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60679)