# Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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 Algebra: Square root, cubic root, N-th root Solvers Lessons Answers archive Quiz In Depth

 Question 83555: Simplify (rationalize all denominators) x^(3/4) + 5/[x^(1/4)] (you may assume x>0) I think I should start by rewriting it as x^(3/4) + [5x^(3/4)] / x and then try to factor out x^(3/4). I can't remember how to do this correctly. I'd like to see the steps to solve the problem and the answer. Thanks. Click here to see answer by stanbon(57337)

 Question 83596: Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] Here is how I wrote the steps. 1. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] 2. 3b[3a^2SQRT(3ab)] + 2a[a^2b^2SQRT(3ab)] 3. [9a^2+2a^3b^2][SQRT(3ab)] I am told that there is a small error in the second step. I was also told to notice in the second term,I have SQRT(3a^3b^3).If I remove the perfect square roots,I'll remove only ab, not a^2b^2. I thought that I had the correct answer and am wonder what the correct step and answer are. Thank you for any help you have! Click here to see answer by Earlsdon(6287)
 Question 83596: Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] Here is how I wrote the steps. 1. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] 2. 3b[3a^2SQRT(3ab)] + 2a[a^2b^2SQRT(3ab)] 3. [9a^2+2a^3b^2][SQRT(3ab)] I am told that there is a small error in the second step. I was also told to notice in the second term,I have SQRT(3a^3b^3).If I remove the perfect square roots,I'll remove only ab, not a^2b^2. I thought that I had the correct answer and am wonder what the correct step and answer are. Thank you for any help you have! Click here to see answer by jim_thompson5910(28593)

 Question 83949: Solve the equation. Show work. sqrt 2x + 5 - sqrt x-2 = 3 Click here to see answer by Nate(3500)

 Question 83946: Simplify the expression. Include absolute value bars where necessary. 4nth root t^4 Click here to see answer by tutorcecilia(2152)

 Question 84593: Is the following binomial a difference of squares? 9a^2-8b^2 Click here to see answer by Earlsdon(6287)

 Question 85158: I do not know how to do this problem, so your help is greatly appreciated! 4. Perform the indicated operations: 4√[18] + 2√[32] –√[8] Click here to see answer by bucky(2189)

 Question 85652: What is the square root of 23 plus 4 all over the square root of 23 - 4? Click here to see answer by scianci(186)

 Question 86285: Hello: I am in a pre ca class and have a problem I just do not understand how to work. Math is not my best skill anyway. i am lost. Here it is sq root sign and under it is x^2 - 10x + 28 = 2. the =2 is not under the sq. root sign. Can you work this for me where I can understand the steps. I am very poor at factoring. Thank you Click here to see answer by ankor@dixie-net.com(15649)

 Question 86295: The directions say: "Simplify. Unless otherwise specified, assume that variables can represent any number." *The problem is Thanks! Click here to see answer by scianci(186)

 Question 86203: Hello out there,I need some help with some square root problems,the first one is,Estimate the value of the square root:(it has a square root symbol above it)0.85.The next one is,If x=(square root symbol)0.04,what is the value of x?The next one is,Simplify:-(square root symbol)0.01 divided by 0.25.And the last one is,Simplify :(square root symbol)36 divided by 225.Thanks to whoever can help me. Click here to see answer by praseenakos@yahoo.com(507)

 Question 86412: Good day,I need some help with some problems that are given me a hard time,it's square root problems,I don't have the square root symbol to show with my problems but each problem I send has the square root symbol with them.The first one is,Simplify:289.The second one is,Simplify:-576.The next one is,Simplify:36 divided by 225.And the last one is,Simplify:-0.01 divided by 0.25.Thanks to whoever can help. Click here to see answer by tutorcecilia(2152)

 Question 86434: Hi! The directions state: Multiply and simplify The equation states: square root of 14 m^5 multiplied by the square root of 7 m^19. Thanks! Click here to see answer by tutorcecilia(2152)
 Question 86434: Hi! The directions state: Multiply and simplify The equation states: square root of 14 m^5 multiplied by the square root of 7 m^19. Thanks! Click here to see answer by ankor@dixie-net.com(15649)

 Question 86499: Can you assist me in the following by solving the suare root property? 2x^2 - 5 = 93 Click here to see answer by tutorcecilia(2152)

 Question 86904: Good day to everyone,I need some help with some square root problems,sorry but I don't have the square root symbol on my computer,but the problems I'm sending have the square roots over them,the first one is,If x=(square root symbol over)0.04,what is the value of x?The next one is,Estimate the value of the square root:(square root symbol over)0.85.And that's about it,thanks for anyone that can help. Click here to see answer by Nate(3500)

 Question 87198: What is the solution to 3 square root of 6 - 8 square root of 6? Thanks!! Click here to see answer by jim_thompson5910(28593)

 Question 87435: This problem is asking to find the length x and to answer in simplified radical form. This is what I have so far in the simplifying, x^2=45^2+51^2 =90+102 =192 so resulting, x=24 Is this on the right track. Click here to see answer by stanbon(57337)

 Question 87437: I need to simplify and assume all variables represent positive numbers. sqrt x^4y^3 I have a result of = x^4y^2 sqrt y Is this right? please help Click here to see answer by rapaljer(4667)

 Question 87471: The question is: Evaluate. Cube is outside the square root symbol and negative 125 is inside. How do I solve this problem? Any assistance is appreciated. Thank you. Click here to see answer by rapaljer(4667)

 Question 87472: Simplify. Assume x represents a positive number. The square root of 175x to the fourth power. Please help me with this. I don't even know where to begin. Click here to see answer by rapaljer(4667)

 Question 87468: Please show be the complete process on how to simplify the following. square root of 32 minus the square root of 2. Thank you. Click here to see answer by rapaljer(4667)

 Question 87505: I have to simplify this; sqrt20/5-1/sqrt5 I keep coming up with that this cannot be simplified, am I on the right track. my result is =15sqrt5/100 please help Click here to see answer by rapaljer(4667)

 Question 87506: I have two expressions that are displayed on my test. sqrt-49, -7,-sqrt49 I have selected sqrt-49 and -sqrt49. is this correct? Click here to see answer by rapaljer(4667)