Question

3- Racionalize
a)
$4 \: \\ \sqrt{5 = }$
b)
$6 \sqrt{8} \\ \\ \sqrt{3 = }$

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Answer 1

Resposta:

$a)\\ {4\over\sqrt{5} }={4.\sqrt{5} \over\sqrt{5} .\sqrt{5} }={4\sqrt{5} \over\sqrt{25} }=\fbox{ {4\sqrt{5} \over5} }\\ \\ b)\\ {6\sqrt{8} \over\sqrt{3} }={6\sqrt{2^2.2} \over\sqrt{3} }={6.2\sqrt{2} \over\sqrt{3} }={12\sqrt{2} \over\sqrt{3} }\\ \\ {12\sqrt{2} .\sqrt{3} \over\sqrt{3} .\sqrt{3} }={12\sqrt{6} \over\sqrt{9} }={12\sqrt{6} \over3}=\fbox{ 4\sqrt{6} }$