Question

Racionalize o denominador (com conta)

A) 2/√10

B) 6/√6

C) 9/√3

D)√5/√2

E) 20/2√5

F) 2√5/5√2

G)1-√3/√3

H) 3-√2/√2

I)√5+√2/5

J) √3-√2/√3

Answer 1

a)

$\frac{2}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{2 \sqrt{10} }{10} = \frac{ \sqrt{10} }{5}$

b)

$\frac{6}{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } = \frac{6 \sqrt{6} }{6} = \sqrt{6}$

c)

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

d)

$\frac{ \sqrt{5} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{10} }{2}$

e)

$\frac{20}{2 \sqrt{5} } \times \frac{2 \sqrt{5} }{2 \sqrt{5} } = \frac{40 \sqrt{5} }{4 \times 5} = \frac{40 \sqrt{5} }{20} = 2 \sqrt{5}$

f)

$\frac{2 \sqrt{5} }{5 \sqrt{2} } \times \frac{5 \sqrt{2} }{5 \sqrt{2} } = \frac{10 \sqrt{10} }{25 \times 2} = \frac{10 \sqrt{10} }{50} = \frac{ \sqrt{10} }{5}$

g)

$\frac{(1 - \sqrt{3} )}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt{3} - 3 }{3}$

h)

$\frac{(3 - \sqrt{2} )}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{3 \sqrt{2} - 2 }{2}$

i)?

$\frac{( \sqrt{3} - \sqrt{2} ) }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3 } } = \frac{3 - \sqrt{6} }{3}$

qualquer dúvida escreva nos comentários, bjinhos

$\frac{ \sqrt{5} + \sqrt{2} }{5}$

j)