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

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Question 600805: I am not getting this at ALL :( I am a complete math IDIOT, and I really need the steps to be explained so that I understand, telling me to simplify isn't necessarily something that I understand as I am a hands on (visual learner) and if I can't understand how to perform the steps, then I will surely be lost when it comes time to take my final ... only 2 weeks away, and this is the last class between me and the NURSING PROGRAM :)
Simplifying Radical Expressions :

sqrt(25x^4)

sqrt[3](24x^9)

sqrt[3](32x^8)
Click here to see answer by stanbon(57219)

Question 601303: How do I solve this? sqrt(6x^3 )* sqrt(10xy^3) =
I think I move the 3's to the outside. So I think my answer would be
3 sqrt(60xy) but I am not sure. Can you help?
Click here to see answer by mananth(12270)

Question 601316: √x+10=x-2
Click here to see answer by flame8855(424)

Question 601302: How do I solve this? sqrt(6x^3 )* sqrt(10xy^3) =
I think I move the 3's to the outside. So I think my answer would be
3 sqrt(60xy) but I am not sure. Can you help?
Click here to see answer by flame8855(424)

Question 601443: 2(4m+5)^2+5(4m+5)=-3
Click here to see answer by flame8855(424)

Question 601448: 3(4m-1)^2+7(4m-1)=-2
Click here to see answer by lwsshak3(6460)

Question 601504: Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals like radicals?
Click here to see answer by solver91311(16868)

Question 601503: What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.

Click here to see answer by solver91311(16868)

Question 600895: 6 over the cube root of 2 plus 3.
why can't we solve this with elementery algebra?
Click here to see answer by richard1234(5390)

Question 601615: simplify each expression. assume that all variables are positive real number. the square root of 100x^5
Click here to see answer by stanbon(57219)

Question 601667: Find an equation of the form sqrt(ax+b) = cx+d where a, b, c, and d are nonzero integers and 1 is a solution, but -5 is an extraneous solution.
Click here to see answer by Edwin McCravy(8879)

Question 601769: A stereo is in a corner of a 13 ft by 8 ft room. speaker wire will run under a rug, diagonally, to a speaker in the far corner. if 6 feet of slack is required on each end how long a piece of wire should be purchased?
Click here to see answer by stanbon(57219)

Question 601818: w=cr-2^ w=100 r=3,963
Click here to see answer by Alan3354(30959)

Question 601993: 3√(-4) find the 2 consecutive intergers
? < 3√(-4) < ?
Click here to see answer by Alan3354(30959)

Question 602126: Simplified form of square root of 125 minus square root of 80
Click here to see answer by jim_thompson5910(28476)

Question 602147: Simplified form of negative square root of 147 minus square root of 243

Click here to see answer by KMST(1863)

Question 602219: Someone please help this is the second attempt at doing this homework online...
directions: rationalize and simply if possiable.
-16 divided by square root 14 +2 square root 7
Click here to see answer by mananth(12270)

Question 602484: I am not sure this is the right area, we are studying real number exponents.
6^sqrt2 * 6^sqrt8/6^3sqrt2 simplify
I hope it makes sense, here is long hand.
6 to the square root of 2 times 6 to the square root of 8 all over (or divided by) 6 to the power 3 to the square root of 2.
except for the sixes everything else is a power.
Click here to see answer by stanbon(57219)

Question 602529: I would be very happy if you would help me solve this equation:
18 over
6 divided by sqrt(2)
Click here to see answer by solver91311(16868)

Question 602648: 10x^2=6x+3 I am having trouble with solving with the quadradic formula

Click here to see answer by scott8148(6628)

Question 602832: Can you please help me to solve this? Expand Expand (√c + √d)^2 and simplify. Assume c ≤ 0 and d ≥ 0.
Click here to see answer by stanbon(57219)

Question 602404: simplify -3√-1000
Click here to see answer by asuar010(324)

Question 602963: Simplify each radical and then combine like terms:
5t sq root 28 + sq root 700t^2
Click here to see answer by ewatrrr(10682)

Question 602979: how do i solve sqrt(2x+5) = 3
Click here to see answer by ewatrrr(10682)

Question 603062: what is 5th root of sqrt(-(1/1024))?
Click here to see answer by lwsshak3(6460)

Question 463064: How would i simplify 4/7 - (3/2)?
Click here to see answer by penguin18(7)

Question 603212: I need help with multiplying radicals. Such as the square root of 7 times the quantity of 4 minus the square root of 7. Thanks!
Click here to see answer by stanbon(57219)

Question 603395: please help me solve 216^-5/3
Click here to see answer by AnlytcPhil(1276)

Question 603511: √(16b^5)
Click here to see answer by jim_thompson5910(28476)

Question 604029: how to do 6radical7-2radical28?
Click here to see answer by solver91311(16868)

Question 604081: How would you solve radical 400 over 5 and both numbers are in the radical, not just the 400
Click here to see answer by mananth(12270)

Question 604164: HI! I'm doing test corrections and I'm stumped on one problem.
the original equation is:

I have already tried the problem a few times but my best guess so far ended up being:

I really hope I wrote those out wrong. It's my first time on this site. Thanks so much for your time :)
Click here to see answer by Alan3354(30959)

Question 604239: Please solve this question= √2(2+√3)/√3(√3+1)*√2(2-√3)/√3(3√3-1)=
Click here to see answer by josmiceli(9649)

Question 604223: Please help me solve this.

I also need to know all the steps and why it works.
Thanks you very much for your time.
Click here to see answer by mananth(12270)

Question 604301: Would someone please assist me with this problem? I cannot figure it out for anything.
During the first part of a trip, a canoeist travels 84 miles at a certain speed. THe canoiest travels 22 miles on the second part of the trip at 5mph slower. he total trip is 2 hours. What is the speed on each part of the trip?
Speed on first part? Speed on second part?
Click here to see answer by flame8855(424)

Question 604334: Hello, I need help with my math homework please. What is square root sign 162 x to the fifth "162x5" in a square root sign?
Click here to see answer by jim_thompson5910(28476)

Question 604380: how do you rationalize the denominator and simplify cube root of 4y^2/cube root of 5x^11
Click here to see answer by lwsshak3(6460)

Question 604464: Could you please help me with the square root of 600, I believe the answer to be 2 ( 150 ), but I am not sure
Click here to see answer by mananth(12270)

Question 604581: I am studying for the compass exam. I believe that if I am given an explanation on the solution for this problem that I might remember how to solve radical expressions
x>0 @ y>0 the radical expression the square root of x / 3times the square root of x -the square root of y is equivalent to
Thank you for your help
Click here to see answer by Alan3354(30959)

Question 604733: Hi I have a Question!
(x^(3a))/(sqrt(x^16a))
The think the answer is x^(-5a)
But I do not know how to get that.
thanks!
Click here to see answer by stanbon(57219)

Question 604733: Hi I have a Question!
(x^(3a))/(sqrt(x^16a))
The think the answer is x^(-5a)
But I do not know how to get that.
thanks!
Click here to see answer by bucky(2189)

Question 604647: 3 sqrt(12) x sqrt (6) (multiplying radical expressions )
Click here to see answer by alicealc(281)

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