Question

Simplify: 4sqrt400/4sqrt5 Please do not just give out the answer I need someone to show work so I can understand

Answer 1

ok first of all do you understand that
\[\sqrt{ab} = \sqrt{a} \times \sqrt{b}\]

?

Answer 2

Yea I think

Answer 3

\[\frac{4\sqrt{400}}{4\sqrt{5}}\]

First we can cancel the 4's...since we have a 4 on both top and bottom they will divide to 1 and cancel...so

\[\large \frac{\sqrt{400}}{\sqrt{5}}\]

Now we know

\[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\]

so now we can write this as

\[\large \sqrt{\frac{400}{5}}\]

Just do the division and simplify a bit :)

Answer 4

Thanks @johnweldon1993 that actually helped I got how to do it now