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 Radical Equations  Problem 1
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Think back to when you were first learning how to solve equations. What your teacher probably talked about is undoing what was being done to x. In this problem x is being square rooted and also multiplied by 4. I have to undo those by taking the opposite mathematical operation.
Well the opposite of square rooting is to square something right? So what I’m going to do is square both sides of this equation, so I’ll have 4x is equal to 9. From there you guys know what to do. 4 is being multiplied by x, so you divide both sides by 4 and you’ll get x is equal to 9/4. That’s the final answer. You can leave it in fractional form or turn it into a decimal it’s up to you. I’m going to go back and check and just make sure that makes sense.
To check what I’m going to do is substitute in there to make sure that 4 times 9/4 when I reduce that fraction I do indeed get the answer 3. Sweet that means I did it right. So again what I did was undo the square rooting by squaring both sides of the equation.
Please enter your name.
Are you sure you want to delete this comment?
Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Concept (1)
Sample Problems (14)
Need help with a problem?
Watch expert teachers solve similar problems.

Solving Radical Equations
Problem 1 8,783 viewsSolve:
√4x = 3 
Solving Radical Equations
Problem 2 7,210 viewsSolve 2√3x + 7 − 1 = 7. Check your answer.

Solving Radical Equations
Problem 3 5,695 viewsSolve:
5√2 = x √2 − 1 √2 
Solving Radical Equations
Problem 4 5,274 viewsSolve:
3 = x + √x² − 4x − 1 
Solving Radical Equations
Problem 5 623 views 
Solving Radical Equations
Problem 6 586 views 
Solving Radical Equations
Problem 7 677 views 
Solving Radical Equations
Problem 8 501 views 
Solving Radical Equations
Problem 9 554 views 
Solving Radical Equations
Problem 10 696 views 
Solving Radical Equations
Problem 11 530 views 
Solving Radical Equations
Problem 12 493 views 
Solving Radical Equations
Problem 13 574 views 
Solving Radical Equations
Problem 14 591 views
Comments (1)
Please Sign in or Sign up to add your comment.
·
Delete
Jesus · 7 months, 1 week ago
why did you square 4x by 2 and 3 by 3?