Study Mathematics notes on Surds and Irrational Numbers for Secondary. Useful for revision, homework, and exam preparation in Zimbabwe.
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This is the Mathematics notes from January 2019. It is a free notes for revision.
Tounds
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10 $\_\_\_\_$ -anvir; 2019
crotin a nemoves - inat non not be arrase as factions ea $\because$ 三
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Sures
\[
\sqrt{m n}=\sqrt{m} \times r
\]
b) $\sqrt{\frac{m}{n}}=\frac{m}{\frac{m}{n}}$
\[
\text { eo } \begin{array}{l}
\text { Sirrs, } \sqrt{15}=\sqrt{19 \times 5}
=\sqrt{9} \times \sqrt{5}
3 \times \sqrt{5}
=3 \sqrt{5}
\end{array}
\]
\[
\text { b) } \begin{array}{l}
\sqrt{162}=\frac{2}{\sqrt{8 \times 2}}
=\sqrt{8} \times 2
=3 \times \frac{\sqrt{2}}{2}
=\sqrt{x^{2}}=\sqrt{x^{2}} \times \sqrt{y^{3}}
\end{array}
\]
tp s. wo' nimbers- we a micars
\[
\begin{array}{l}
\text { Wat an be expressed as }
3
\frac{6}{3}-\frac{1}{2}, a_{2}, 1 / 5, \frac{2}{1000}
3
13
\end{array}
\]
o
o. Ann
$б$
$\therefore \sqrt{3}$
3
\[
x \sqrt{y}
\]
$\cdots \times \sqrt{y}$
\[
\begin{array}{l}
=2 \times \sqrt{6}
=2 \sqrt{6}
\end{array}
\]
\[
\begin{array}{l}
\sqrt{26}=\sqrt{6 \times 4}
=\sqrt{6} \times \sqrt{4}
=2 \times \sqrt{6}
\text { WAR }=\sqrt{6}
\sqrt{50}=\sqrt{25 \times 6}
=\frac{1}{25} \times \sqrt{6}
=\sqrt{5} \times 5
=5 \sqrt{5}
\end{array}
\]
Finday 11-anuary 2019
irritional numbers
249
Sircls
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