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