Resources for Calculations with Square Roots
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Calculations with Square Roots Theory
![\begin{multicols}{2} \textbf{Example 1}\\ Evaluate the following\\[3pt] \textbf{i)} \(\sqrt{4^2+3^2}\)\\[3pt] \textbf{ii)} \(\sqrt{17^2-15^2}\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} \textbf{i) }& \begin{aligned}[t] \sqrt{4^2+3^2} & =\sqrt{16+9} \\ & =\sqrt{25} \\ & =\sqrt{5 \times 5} \\ & =5 \end{aligned}\\[3pt] \textbf{ii) }& \begin{aligned}[t] \sqrt{17^2-15^2} & =\sqrt{289-225} \\ & =\sqrt{64} \\ & =\sqrt{8 \times 8} \\ & =8 \end{aligned} \end{aligned}\) \columnbreak \textbf{Example 2}\\ Evaluate the following\\[3pt] \textbf{i)} \(\sqrt{5^2+3^2}\)\\[3pt] \textbf{ii)} \(\sqrt{5^2-2^2}\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} \textbf{i) }& \begin{aligned}[t] \sqrt{5^2+3^2} & =\sqrt{25+9} \\ & =\sqrt{34} &&\text { (as a surd) } \\ & =5.8 && \text { (one dp) } \end{aligned}\\[3pt] \textbf{ii) }& \begin{aligned}[t] \sqrt{5^2-2^2} & =\sqrt{25-4} \\ & =\sqrt{21} && \text { (as a surd) } \\ & =4.6 &&\text { (one dp)} \end{aligned} \end{aligned}\) \end{multicols}](/media/utvnuqoq/29788.png)
NSW Y8 Maths Pythagoras Calculations with Square Roots
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Calculations with Square Roots - Video - Simplifying square root
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Calculations with Square Roots - Video - Calculations with Square Roots
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