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ii)
(1)/(sqrt3)(2sqrt3-(1)/(sqrt3))

ii) $\frac{1}{\sqrt{3}}\left(2 \sqrt{3}-\frac{1}{\sqrt{3}}\right)$

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Evaluate integers raised to rational exponents

Full solution

Q. ii)

\frac{1}{\sqrt{3}}\left(2 \sqrt{3}-\frac{1}{\sqrt{3}}\right)

Distribute fraction: Distribute the fraction $(1)/(\sqrt{3})$ across the terms inside the parentheses. $\newline$ $(1)/(\sqrt{3}) \times 2\sqrt{3} - (1)/(\sqrt{3}) \times (1)/(\sqrt{3})$
Multiply terms: Multiply the terms. $\newline$ $\frac{1}{\sqrt{3}} \times 2\sqrt{3} = 2$ $\newline$ $\frac{1}{\sqrt{3}} \times \frac{1}{\sqrt{3}} = \frac{1}{3}$ $\newline$ So, the expression becomes: $\newline$ $2 - \frac{1}{3}$
Subtract fractions: Subtract the fractions. $\newline$ Since $2$ is the same as $\frac{6}{3}$ , we can write: $\newline$ $(\frac{6}{3}) - (\frac{1}{3}) = (\frac{5}{3})$
Check for simplification: Check the result for any possible simplification. $\newline$ The fraction $(\frac{5}{3})$ is already in its simplest form.

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