Fractional Indices and Surds - Questions

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Question 1
42759

Evaluate \(\sqrt{3^2}+(\sqrt 5)^2\)

\(8\)

$$
\begin{aligned}
\sqrt{a^2}&=a\rightarrow\sqrt{3^2}=3\\
(\sqrt{a})^2&=a\rightarrow\sqrt{5^2}=5\\ &\\ \therefore \sqrt{3^2}+(\sqrt{5})^2&=3+5\\
&=8
\end{aligned}
$$

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