Question

Rationalise the denominator and simplify 10 over 3 root 5

Answer 1

$\frac{10}{3 \sqrt{5} }$ x $\frac{ 3\sqrt{5} }{3 \sqrt{5} }$
would be $\frac{30\sqrt{5} }{9 \sqrt{25} }$.
Root 25 is 5, so 9*5 = 45
so the answer is $\frac{30\sqrt{5} }{45 }$.

Answer 2

$\frac{10}{3\sqrt{5}} = \frac{10\sqrt{5}}{3\sqrt{5}\sqrt{5}} = \frac{10\sqrt{5}}{3\sqrt{5 * 5}} = \frac{10\sqrt{5}}{3\sqrt{25}} = \frac{10\sqrt{5}}{3(5)} = \frac{10\sqrt{5}}{15} = \frac{2\sqrt{5}}{3}$