Question

Can someone explain to me how to do this? Im confused.. 4 square root 6/ square root 30

Answer 1

\[\frac{4\sqrt{6}}{\sqrt{30}}\]

Answer 2

multiply top and bottom by \(\sqrt{30}\) to get
\[\frac{4\sqrt{6}}{\sqrt{30}}\times \frac{\sqrt{30}}{\sqrt{30}}=\frac{4\sqrt{180}}{30}\]

Answer 3

then we have more work to do

Answer 4

since \(180=36\times 5\) the numerator is
\[4\times \sqrt{180}=4\times \sqrt{36\times 5}=4\sqrt{36}\times \sqrt{5}=4\times 6\times \sqrt{5}=24\sqrt{5}\]

Answer 5

so we are left with
\[\frac{24\sqrt{5}}{30}\]and your last job is to cancel whatver you can

Answer 6

but there is nothing to cancel out right? cause arnt you supposed to cancel out like terms?

Answer 7

hello?