Question

Simplify the Expression

Answer 1

sqrt(16x)+sqrt(x^5)

Answer 2

I know the 16 is a perfect square and the square root of it is 4 so
sqrt(16x)=4sqrt x
but i don't know how to do sqrt (x^5) ?

Answer 3

if sqrt(x^5) is simplified, can sqrt (x^4*x) correct?

Answer 4

\(\sqrt{16x}+\sqrt{x^5}\)
\(\sqrt{16\times x}+\sqrt{x^4 \times x}\)

Think you can try it from there?

Answer 5

Evidently latex isn't working.

Answer 6

yeah i knew
see what i did above, is it correct?

Answer 7

What is sqrt(x^4)?

Answer 8

lol i tried to simplfy sqrt (x^5) into sqrt (x^4*x)

Answer 9

exactly, what is sqrt(x^4)?

Hint, it does simplify down.

Answer 10

oh it's x^2?

Answer 11

correct, so sqrt(x^5)=sqrt(x^4*x)=x^2*sqrt(x)

Answer 12

ok thanks, i got it now :D!

Answer 13

Is that correct? :)

Answer 14

yeah
sqrt(16x)+sqrt(x^5)

so sqrt(16x)=4sqrtx
and sqrt x^5=sqrt(x^4*x)=x^2sqrtx

4sqrtx+x^2sqrtx is the answer! :)

Answer 15

i forgot that i was dealing with sqrt x^4 and it's a perfect square

Answer 16

thanks austin, you were a great help for me

Answer 17

No problem, glad to help! :D
If you need anything else, feel free to ask :)