JAMB - Mathematics (2021 - No. 14)

Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
4\(\sqrt{3}\)
\(\frac{4}{\sqrt{3}}\)
3\(\sqrt{3}\)
\(\frac{\sqrt{3}}{4}\)

Explanation

\(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)

= \(\sqrt{9 \times 3}\) + \(\frac{3 \times {\sqrt{3}}}{{\sqrt{3}} \times {\sqrt{3}}}\)

= 3\(\sqrt{3}\) + \(\sqrt{3}\)

= 4\(\sqrt{3}\)

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