SOLUTION: how do you solve square root and the 3 outside of it but in the little root thing and then inside the root 4+6t-the 3 in the outside of the root (but on it) square root of 1-8t=0

Question 242782: how do you solve square root and the 3 outside of it but in the little root thing and then inside the root 4+6t-the 3 in the outside of the root (but on it) square root of 1-8t=0
Found 3 solutions by MRperkins, stanbon, Edwin McCravy:
Answer by MRperkins(300)   (Show Source): You can put this solution on YOUR website!
so you have only it is cubed root instead of square root (I am just not sure how to get the 3 in place for the 2) it doesn't really matter anyways because we are going to get rid of them shortly! :)
move over to the right side of the equation and you get
Now cube both sides and you get You should be able to solve it from here.
If you need any other questions answered, then you can email me at justin.sheppard.tech@hotmail.com
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how do you solve square root and the 3 outside of it but in the little root thing and then inside the root 4+6t-the 3 in the outside of the root (but on it) square root of 1-8t=0
-------------------------------
cube root of (4+6t) - 3[the cube root of (1-8t)] = 0
------------------
cbrt(4+6t) = 3*cbrt(1-8t)
---
Raise both sides to the 3rd power
---
4+6t = 27(1-9t)
4+6t = 27 - 243t
249t = 23
t = 23/249
=============================
Cheers,
Stan H.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
how do you solve square root and the 3 outside of it but in the little root thing and then inside the root 4+6t-the 3 in the outside of the root (but on it) square root of 1-8t=0

I think this is what you are describing: Add the opposite of second term to both sides: Raise both sides to the 3 power: When you raise a root to the same power as its index, you take away the root and the exponent and just leave what's underneath: Edwin

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