Question

Racionalize o denominador das expressões:
a) 1/2 raiz de 2
b)15/2 raiz de 10
c) raiz de 3/ raiz de 3 - raiz de 2/ raiz de 2

Answer 1

$\frac{1}{2 \sqrt{2} } = \frac{1*2 \sqrt{2} }{(2 \sqrt{2} )*(2 \sqrt{2} )}= \frac{2 \sqrt{2} }{(2 \sqrt{2)^2} }}= \frac{2 \sqrt{2} }{4*2} = \frac{ \sqrt{2} }{4}$

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b)

$\frac{15}{2 \sqrt{10} } = \frac{15*2 \sqrt{10}}{(2 \sqrt{10})*(2 \sqrt{10})} = \frac{30 \sqrt{10}}{4*10} = \frac{3 \sqrt{10} }{4}$

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a ultima não consegui entender