Question

how do i simplify the expression
√16r^4s^5

Answer 1

4r^2s^2 radical(s)

Answer 2

yes but how do i do that?

Answer 3

\[\sqrt{16r^4s^5}\]
\[4r^2\sqrt{s^5}\]
\[4r^2 s^{5/2}\]

Answer 4

\[\sqrt{16r^4s^5}=\sqrt{16}\sqrt{r^4}\sqrt{s^5}=4r^2\sqrt{s^4s}=4r^2\sqrt{s^4}\sqrt{s}=4r^2s^2\sqrt{s}\]

Answer 5

1) the square root of 16 is 4
2) the square root of r^4 is r^2 because 2 goes in to 2 twice
3) the square root of s^5 is
\[s^2\sqrt{s}\] because 2 goes in to 5 two times, with a remainder of 1

Answer 6

explanation is written out by myininaya but i am certain she does it in her head the way i wrote it

Answer 7

lol
no i do it in the way of the myininaya method

Answer 8

thank you :)