Question

Racionalise os denominadoree
a)9/√3
b)10/√5
c)4/3√8

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Answer 1

$a) \frac{9}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \\ \frac{9 \sqrt{3} }{3} \\ 3 \sqrt{3}$

$b) \frac{10}{ \sqrt{5} } = \\ \frac{10}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \\ \frac{15 \sqrt{5} }{5} \\ 2 \sqrt{5}$

$c) \frac{4}{3 \sqrt{8} } = \\ \frac{4}{6 \sqrt{2} } = \\ \frac{2}{3 \sqrt{2} } = \\ \frac{2}{3 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \\ \frac{2 \sqrt{2} }{3 \sqrt{2} \sqrt{2} } = \\ \frac{2 \sqrt{2} }{3 \times 2} = \\ \frac{2 \sqrt{2} }{6} = \\ \frac{ \sqrt{2} }{3}$