Question

Racionalize:

a) 2 / √10

b) 10 / √3 - √2

c) 8 / 12√5

Answer 1

$\frac{2}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } \\ \frac{2 \sqrt{10} }{10} \\ \frac{ \sqrt{10} }{5} \\ \\ \frac{10}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \frac{10( \sqrt{3} + \sqrt{2} )}{3 - 2} \\ 10 \sqrt{3} + 10 \sqrt{2} \\ \\ \frac{8}{12 \sqrt{5} } \\ \frac{2}{3 \sqrt{5} \times \sqrt{5} } \\ \frac{2 \sqrt{5} }{3 \times 5} \\ \frac{2 \sqrt{5} }{15}$