Question

Como Racionaliza 3/√2

Answer 1

.
$\frac{3}{ \sqrt{2} } = \frac{3. \sqrt{2} }{ \sqrt{2}. \sqrt{2} } = \frac{3 \sqrt{2} }{ \sqrt{2^2} } = \frac{3 \sqrt{2} }{2}$


$\frac{8}{ \sqrt{7} } = \frac{8 \sqrt{7} }{ \sqrt{7}. \sqrt{7} } = \frac{8 \sqrt{7} }{ \sqrt{7^2} } = \frac{8 \sqrt{7} }{7}$


$\frac{5}{ \sqrt{2} } = \frac{5 \sqrt{2} }{ \sqrt{2}. \sqrt{2} } = \frac{5 \sqrt{2} }{ \sqrt{2^2} } = \frac{5 \sqrt{2} }{2}$



$\frac{ \sqrt{8}. \sqrt{5} }{ \sqrt{5}. \sqrt{5} } = \frac{ \sqrt{40} }{ \sqrt{5^2} } = \frac{ \sqrt{2^2.2.5} }{5} = \frac{2 \sqrt{10} }{5}$