Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Solving an Equation with Radicals  Problem 1
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
Solving an equation with a square root and a higher root power, so this problem we are looking at a cube root. The steps of solving an equation with a radical are always the same, we want to first get our root by itself take it side your appropriate power to get rid of the root, solve for our variable and then check.
Let’s go through that process right now. First thing we want to do is isolate our root. So we want to get this term cube root of x minus 1 by itself. In order to do that we first need to subtract 3 from both sides we end up with 4 cube root x minus 1 is equal to 8 and then I always like to get the coefficient away as well.
You could move on leaving it there but typically you are just going to get bigger numbers that’s going to make your life a little bit uglier so what we are going to do is divide by 4 to get that root completely by itself.
Our cube root x minus 1 is equal to 2 so now we have the root by itself we want to get rid of the root, we have a cube root so in order to get rid of this root we have to cube it. We cube one side we have to cube the other cube root of cubed just becomes the inside so this is x minus 1 to the third is 8 add 1 is leaves us with 9.
We always want to go back check to make sure our answer works plug in 9, 9 minus 1 is 8 cube root of 8 is 2 4 times 2 is 8 plus 3 is 11.
So this answer actually checks out so by going through the steps of solving a quadratic equation we are able to solve this problem.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Concept (1)
Sample Problems (13)
Need help with a problem?
Watch expert teachers solve similar problems.

Solving an Equation with Radicals
Problem 1 5,028 viewsSolve:
4 ⋅ ∛x − 1 + 3 = 11 
Solving an Equation with Radicals
Problem 2 4,590 viewsSolve:
√x + 2 = x 
Solving an Equation with Radicals
Problem 3 4,265 viewsSolve:
√3x − 2 − √x + 3 = 1 
Solving an Equation with Radicals
Problem 4 594 views 
Solving an Equation with Radicals
Problem 5 525 views 
Solving an Equation with Radicals
Problem 6 495 views 
Solving an Equation with Radicals
Problem 7 489 views 
Solving an Equation with Radicals
Problem 8 528 views 
Solving an Equation with Radicals
Problem 9 572 views 
Solving an Equation with Radicals
Problem 10 526 views 
Solving an Equation with Radicals
Problem 11 544 views 
Solving an Equation with Radicals
Problem 12 463 views 
Solving an Equation with Radicals
Problem 13 512 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete