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Simplify sqrt 27 frac 3 sqrt 3 - JAMB Mathematics 2021 Question

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

A

4\(\sqrt{3}\)

B

\(\frac{4}{\sqrt{3}}\)

C

3\(\sqrt{3}\)

D

\(\frac{\sqrt{3}}{4}\)

correct option: a

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

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

= 3\(\sqrt{3}\) + \(\sqrt{3}\) = 4\(\sqrt{3}\)

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