Five marks exercise problems XIX — task. Mathematics State Board, Class 9.

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1. Find the value of

$a$ and

$b$ if

$\frac{\sqrt{7} - 2}{\sqrt{7} + 2} = a \sqrt{7} + b$ .

$a = \frac{i}{i}$ ,

$b = \frac{i}{i}$

2. Given

$\sqrt{2} = 1.414$ , find the value of

$\frac{8 - 5 \sqrt{2}}{3 - 2 \sqrt{2}}$ (to

$3$ places of decimals).

$\frac{8 - 5 \sqrt{2}}{3 - 2 \sqrt{2}}$

$=$

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32. Five marks exercise problems XIX