Question

Simplify: 4sqrt400/4sqrt5. show your work

Answer 1

`4√(5)`

Explanation:

`(4√(400))/(4√(5)) =`

`= (4 * 20)/(4√(5))`

`= (20)/(√(5))`

`= (20√(5))/(√(5) √(5))`

`= (20√(5))/(5)`

`= 4√(5)`

Answer 2

4 sqrt(400) / 4 sqrt(5)

sqrt(400) =20

4 *20

--------

4 sqrt(5)

the 4's on the top and bottom cancel

20

--------

sqrt(5)

I was taught never to leave a sqrt in the denominator

so you need to multiply by sqrt (5) in the numerator and the denominator

20* sqrt(5)

--------

sqrt(5)* sqrt(5)

20* sqrt(5)

--------

5

= 4 sqrt(5)