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

1. MrNood

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

2. anonymous

Yea I think

3. johnweldon1993

$\frac{4\sqrt{400}}{4\sqrt{5}}$ 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 :)

4. anonymous

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