Rationalise the denominator of each of the following i-vii i3 -5 ii3 2-5 iii1 -12 iv-10 - -15-2 v2 - -3 3

(i) 3 #10;√( 5 ) #160; ×√( 5 ) #160; √( 5 ) #160; #10;= 3√( 5 ) #160; 5 (ii) 3 2√( 5 #10;) #160; ×√( 5 ) #160; √( 5 ) #160 ...

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Rationalisation

Rationalise t...

Question

Rationalise the denominator of each of the following (i-vii)
$\begin{matrix} i) \frac{3}{\sqrt{5}} i i) \frac{3}{2 \sqrt{5}} i i i) \frac{1}{\sqrt{12}} i v) \frac{\sqrt{10} + \sqrt{15}}{\sqrt{2}} v) \frac{2 + \sqrt{3}}{3} \end{matrix}$

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\frac{3}{\sqrt{5}}

\frac{3}{2 \sqrt{5}}

\frac{1}{\sqrt{12}}

\frac{\sqrt{2}}{\sqrt{5}}

\frac{\sqrt{3} + 1}{\sqrt{2}}

\frac{\sqrt{2} + \sqrt{5}}{3}

\frac{3 \sqrt{2}}{\sqrt{5}}

Rationalise the denominators of each of the following:

(i) $\frac{3}{\sqrt{5}}$

(ii) $\frac{3}{2 \sqrt{5}}$

(iii) $\frac{1}{\sqrt{12}}$

(iv) $\frac{\sqrt{2}}{\sqrt{5}}$

(v) $\frac{\sqrt{3} + 1}{\sqrt{2}}$

(vi) $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$

(vii) $\frac{3 \sqrt{2}}{\sqrt{5}}$

\frac{1}{\sqrt{7} + \sqrt{6} - \sqrt{13}}

\frac{3}{\sqrt{3} + \sqrt{5} - \sqrt{2}}

\frac{4}{2 + \sqrt{3} + \sqrt{7}}

\frac{1}{\sqrt{7}}

\frac{\sqrt{5}}{2 \sqrt{3}}

\frac{1}{2 + \sqrt{3}}

\frac{1}{\sqrt{5} - 2}

\frac{1}{5 + 3 \sqrt{2}}

\frac{1}{\sqrt{7} - \sqrt{6}}

\frac{4}{\sqrt{11} - \sqrt{7}}

\frac{1 + \sqrt{2}}{2 - \sqrt{2}}

\frac{3 - 2 \sqrt{2}}{3 + 2 \sqrt{2}}

\frac{1}{(5 + 3 \sqrt{2})}

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