Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 659128: Direction: Divide and simplify if possible.
cuberoot(x^2+5x+6)/cuberoot(x+2)
I did the following and got stuck: cuberoot(x^2+5x+6/x+2)=Cuberoot(5x+3)
I canceled out an x from the top and divided 6 by 2 to get the answer.
The book says I should have got cuberoot(x+3) for the answer. What is the correct way to solve this?
Click here to see answer by MathTherapy(10551)

Question 659694: f(y)= y + 3/y^2-3y
what is the domain function
answer i interval notation

Click here to see answer by lwsshak3(11628)

Question 659726: How would I complete a question like (r3 + r2)^2
Click here to see answer by ReadingBoosters(3246)

Question 660533: 11x + 7 -4=10x - 3
Click here to see answer by ReadingBoosters(3246)

Question 660532: -4(3b+4) + (13b -6)=0
Click here to see answer by ReadingBoosters(3246)

Question 660550: -(8y + 5 ) - (-7y -7) =-5
Click here to see answer by jim_thompson5910(35256)

Question 660595: I dont know how to write this but I will try, I am struggling to get pass my algebra class, The question I have is
x+1=9x^3+9x^2
also I have a problem I dont know how to type it but I will try
it has the radical equation sign I think its called it look like the old division like a check mark so it is that under it is x+10 than =x-2. Could you please help me
Thank You
Debbie
Click here to see answer by stanbon(75887)

Question 661043: Hello! Can you please solve this question right away since I need this immediately for tomorrow:
Instruction(s): Find all real solutions in each equation.
√(x-3)+1=√(x+2)
Thanks for answering!!!
Click here to see answer by Edwin McCravy(20054)

Question 661035: Hello! I've tried this website once and it really worked! So here's my question involving radical expressions:
Instruction(s): Find all real solutions in each equation.
1.) √(x-3)+1=√(x+2)
So I have tried to go to other websites such as Mathway, which had an answer of 7, but unfortunately, you have to pay to have the solutions.(can you please add solutions) Please answer back because I really need this tomorrow for school. Thanks a lot! More Power to you and algebra.com!
Click here to see answer by ewatrrr(24785)

Question 661586: The domain of the function: (1/ (sqrt (2x + 15)) and ( (x+2) / (x^2 - 225) ). I don't understand how to write it in interval notation.
Click here to see answer by lwsshak3(11628)

Question 661584: The domain of the function: sqrt (t-67)^(1/3)
Click here to see answer by lwsshak3(11628)

Question 661935: I need help solving the following
5root3(6root12-4root6)
Click here to see answer by kevwill(135)

Question 662096: Solve for each rational equation. Check your solutions.
√(5x-4=6) The square root of 5x-4=6
Click here to see answer by checkley79(3341)

Question 662408: what is the 4th root of 48 in the simplest radical form?

Click here to see answer by lwsshak3(11628)

Question 662412: I looked but could not find an answer to this, I am confused as to how to work this out, please help....find the LCM of 50x^5y, 60x^4y^3, 30x^2y^4..thanks
Click here to see answer by KMST(5328)

Question 662643: Need to simplify

Click here to see answer by MathLover1(20849)

Question 662678: what is the 8th root of 200?
please help thank you
Click here to see answer by radh(108)

Question 663065: How do I write the square root of 5x exponentially?
Click here to see answer by Shana-D77(132)

Question 663273: what is the square root of pie times 5 times 5 times 5 divided by 6 plus 10 minus 4 times pie time 100 minis 2 plus 5
Click here to see answer by Alan3354(69443)

Question 663259: I dont remember how to write out this problem on the computor but it has what looks like a division problem (the checkmark with the long line and inside the problem is -3x+17=10.
Click here to see answer by Edwin McCravy(20054)

Question 663418: Hello I'm having trouble solving a equation containing two radicals. I keep getting the wrong answer even though I isolate one radical, square it, isolate the second, and square that.
The equation is
sqrt(5x-7) + sqrt(2x+8) +2 = 0
Thank you for the help in advance!
Click here to see answer by Alan3354(69443)

Question 663533: square root of 75 is equal to
a. 2 square root of 5
b. 3 square root of 5
c. 5 square root of 2
d. 5 square root of 3
Click here to see answer by ReadingBoosters(3246)

Question 663533: square root of 75 is equal to
a. 2 square root of 5
b. 3 square root of 5
c. 5 square root of 2
d. 5 square root of 3
Click here to see answer by MathLover1(20849)

Question 663668: find a quadratic equation having the given roots.
{1/4-sqrt(-5)/4, 1/4+ sqrt(-5)/4}
the 4 is not under the radical sign.
in the book it shows 1+i sqrt5 and 1-i sqrt5 all divided by 4
I had an answer on another site of:
-a = Sum of roots
b = Product of roots.
So in this case,
a = -1/4
b = 6/4 = 3/2
Therefore the equation is x2 - x/4 + 3/2 = 0
But when I put this in a quadric equation solver it is not correct. I get a=-1/2 but that doesn't work either.
Thank you!

Click here to see answer by lynnlo(4176)

Question 664179: 3sqrt40+2sqrt10
Click here to see answer by pv=nrt15rcks(23)

Question 664513: what is the radical of 26

Click here to see answer by MathLover1(20849)

Question 664702: Square root of 96 minus square root of 6
Click here to see answer by ankor@dixie-net.com(22740)

Question 664934: what is the square root of 7x to the 7 times square root of 35x

Click here to see answer by Theo(13342)

Question 664867: (-2x+3)1/5-(-9+10x)1/5=0
Click here to see answer by lynnlo(4176)

Question 664962: I need help with solving the cubed root of 2x+1= -5

Click here to see answer by lynnlo(4176)

Question 664969: rope is square root 250 units long. it is cut into 2 pieces so the lengths are in ratio of 3:2. what is the length of the longer piece expressed in simplest radical form? do I set it up as x/ sq.rt.250=5/3: I end up with 25*sq.rt. 10 over 3. I don't think this is right.
Click here to see answer by vleith(2983)

Question 664984: Write the following in radical form X^(2/3)y^(1/3)
Click here to see answer by lynnlo(4176)

Question 665104: why is it important to simplify radical expressions before adding or subtracting? Use the example
__ _ __
√72 - √8 + √18 to show the benefits of simplified radicals.
Click here to see answer by ewatrrr(24785)

Question 665123: Simplify by factoring √(150)
Click here to see answer by jim_thompson5910(35256)

Question 665259: 5√(32)+3√(50)-4√(8)
Click here to see answer by lynnlo(4176)

Question 665547: can you help me solve this problem? 3(2) divided by 10(3)
Click here to see answer by lynnlo(4176)

Question 665620: Express in terms of i.
- sqrt -50
i got -4i*sqrt 10. is this correct?

Click here to see answer by DrBeeee(684)

Question 665653: I need to write expression with rationalized denominator. ( 5-sq rt 2)/sq. rt 3
I think it is (5 + sq rt. 6)/-3. Did I do it right?
Click here to see answer by mananth(16946)

Question 665677: i need help with understanding 1/3 square root of x and 1/12 square root pf x
Click here to see answer by stanbon(75887)

Question 665744: Simplify the following

1. -3√(12x^3 y^9 )
2. √(6&9)
3. √(10&32x^5 y^5 )

Click here to see answer by Alan3354(69443)

Question 665749: The volume of a sphere with radius (r) is given by the function V(r)=4/3πr�. Find V(6) and explain what the answer presents.
Click here to see answer by Alan3354(69443)

Question 665746: Solve the following.
1. 9∜7 + 8∜7 - 3∜7
2. 1/2 √2 + 1/2 ∛2 - 1/2 ∛2
3. √(13x^2 )+ √(13x^2 )-∛(13x^2 )- ∛(13x^2)
4. (1+√(x+1))(1+√(x )+ 1)
5. √(2xy^2 )/√(8xy^3 )
6. 2√(6x-2)=2
7. √(x-1)= √(x-3)

Click here to see answer by lynnlo(4176)

Question 665743: Simplify ∛(32x^4 )
Click here to see answer by lynnlo(4176)

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