Year 9 Maths Indices and Surds

Fractional Indices and Surds

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Questions

Question 1

42759

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

Answer

$8$

Worked Solution

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

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