Year 11 Maths - Specialist Number systems and sets

Surds

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Questions

Question 1

17380

$\sqrt {45} + \sqrt {80} $

Answer

$7\sqrt 5 $

Worked Solution

$$
\begin{aligned}
\sqrt{45}+\sqrt{80} &=\sqrt{9 \times 5}+\sqrt{16 \times 5} \\
&=\sqrt{9} \times \sqrt{5}+\sqrt{16} \times \sqrt{5} \\
&=3 \sqrt{5}+4 \sqrt{5} \\
&=7 \sqrt{5}
\end{aligned}
$$

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