# Simplify 5k-2 the square root of 2k^4 divided by the square root of 5k^3.

*print*Print*list*Cite

### 1 Answer

Simplify `(5k-2sqrt(2k^4))/(sqrt(5k^3))`

`=(5k-2sqrt(k^4)sqrt(2))/(sqrt(k^2)sqrt(5k))`

`=(5k-2k^2sqrt(2))/(ksqrt(5k))`

`=(5-2ksqrt(2))/(ksqrt(5k))` multiply numerator and denominator by ``

`=(5sqrt(5k)-2ksqrt(10k))/(5k^2)`

`=(sqrt(5k)(5-2ksqrt(2)))/(5k^2)`

which is simplified.