Question

how come 10/square root 5 is the same as 2/square root 5?

Answer 1

\[\large \frac{10}{\sqrt{5}}\neq \frac{2}{\sqrt{5}}\]

Answer 2

oh wait i get it, you just rationalise it

Answer 3

so there must be a typo somewhere

Answer 4

oh sorry i meant 2squareroot 5

Answer 5

\[\frac{\sqrt{10}}{\sqrt{5}}=\sqrt{\frac{10}{5}}\]

Answer 6

oh ok, yeah rationalize the denominator by multiplying both top and bottom by sqrt(5) to get your answer

Answer 7

\[\frac{10}{\sqrt{5}}=\frac{10}{\sqrt{5}}\frac{\sqrt{5}}{\sqrt{5}}=\frac{10\sqrt{5}}{5}=2\sqrt{5}\]

Answer 8

thank you