Question

Racionalize:

A) 1/.√2

B) √3/√10

C) 30/7√10

Answer 1

Resposta:

$A)\\ \\ {1\over\sqrt{2} }={1.\sqrt{2} \over\sqrt{2} .\sqrt{2} }={\sqrt{2} \over\sqrt{4} }={\sqrt{2} \over2}$

$B)\\ \\ {\sqrt{3} \over\sqrt{10} }={\sqrt{3} .\sqrt{10} \over\sqrt{10} .\sqrt{10} }={\sqrt{30} \over\sqrt{100} }={\sqrt{30} \over10}$

$C)\\ \\ {30\over7\sqrt{10} }={30.\sqrt{10} \over7.\sqrt{10} .\sqrt{10} }={30\sqrt{10} \over7\sqrt{100} }={30\sqrt{10} \over7.10}={30\sqrt{10} \over70}={3\sqrt{10} \over7}$