Add 5√2 + 3√3 and 2√2 – 5√3.

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Solution

5√2 + 3√3 and 2√2 – 5√3

5√2 + 3√3 + 2√2 - 5√3

5√2 + 2√2 + 3√3 - 5√3

=7√2 -2√3

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Add 5√2 + 3√3 and 2√2 - 5√3

Add (i) $(2 \sqrt{3} - 5 \sqrt{2}) a n d (\sqrt{3} + 2 \sqrt{2})$

(ii) $(2 \sqrt{2} + 5 \sqrt{3} - 7 \sqrt{5}) a n d (3 \sqrt{3} - \sqrt{2} + \sqrt{5})$

(iii) $(\frac{2}{3} \sqrt{7} - \frac{1}{2} \sqrt{2} + 6 \sqrt{11}) a n d (\frac{1}{3} \sqrt{7} + \frac{3}{2} \sqrt{2} - \sqrt{11})$

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

\frac{3}{5} a n d \frac{2}{3}

\frac{1}{3} + \frac{3}{4} + \frac{2}{5}

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