Question

64=(x+8)^3/2 find x

Answer 1

This problem is a simple algebra problem, so we simply follow the rules of PEMDAS.

Given: (x+8)^(3/2)=64 find x
We take everything raised to the 2/3 because that will eliminate the ^(3/2) above (x+8)
This gives us:
(x+8)=(64)^(2/3)
64 raised to the 2/3 would be the same as if you squared 64 which would be 4096, and then took the 3rd root of that.

This computation leaves us with 16.

Now we have:
x+8=16
Subtract 8 from each side,
and you get x=8.

Check:
When we plug 8 in for x we get,

(8+8)^(3/2)=64
64=64
We now know that we are correct.
Hope this helps!!

Answer 2

sweet thanks a lot! i was stuck on the 3rd step