# 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 32911: I worked the following problem and came up with -5. I'm not sure if I am right: (sqrt3 + 2 sqrt2)(sqrt3 - 2 sqrt2) Click here to see answer by sarah_adam(201)

 Question 32932: Im having trouble with variables. The one im having trouble with is (Sqrt M) times (Sqrt M^2) Click here to see answer by stanbon(57940)

 Question 32935: I asked these two questions but i did not quite understand how to work them out. Can some pls explain them a bit better that way i can work them out and understand them pls. 3 times Sqrt 13/3. The answer i got for this one was that there was no variable to solve for. Im not sure what that means or if its already in simplest form? The other one was Sqrt 2 + Sqrt 2/49. I dint quite understand how to work the problem. Click here to see answer by sarah_adam(201)

 Question 32999: I was working this problem out and I think i got the right answer but there was some one else that help me with it but i think he got the negative and positive sings rong heres what i did: Problem (Sqrt 3 - Sqrt 5)(Sqrt 3 - Sqrt 5) You are supose to work it out in a: (a - b)^2= a^2 - 2ab + b^2 form so this is what i got: (Sqrt 3 - Sqrt 5)^2 = Sqrt 3^2 - (2)*(Sqrt 3)*(Sqrt 5) + Sqrt 5^2 Sqrt 9 - 2(Sqrt15) + Sqrt 25= 3 - 2 Sqrt 15 + 5 = 8 - 2 Sqrt 15 Is this right? Click here to see answer by xcentaur(357)
 Question 32999: I was working this problem out and I think i got the right answer but there was some one else that help me with it but i think he got the negative and positive sings rong heres what i did: Problem (Sqrt 3 - Sqrt 5)(Sqrt 3 - Sqrt 5) You are supose to work it out in a: (a - b)^2= a^2 - 2ab + b^2 form so this is what i got: (Sqrt 3 - Sqrt 5)^2 = Sqrt 3^2 - (2)*(Sqrt 3)*(Sqrt 5) + Sqrt 5^2 Sqrt 9 - 2(Sqrt15) + Sqrt 25= 3 - 2 Sqrt 15 + 5 = 8 - 2 Sqrt 15 Is this right? Click here to see answer by askmemath(368)

 Question 33039: Can you please solve this for me? I have to solve this using factoring: The length of a rectangle is 6cm less than twice its width. Find the dimensions of the rectangle if its area is 108cm2(squared) Click here to see answer by xcentaur(357)

 Question 33064: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area , garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the nearest thousandth? Thank you. Click here to see answer by Paul(988)

 Question 33097: Find the domain of the rational function. 8/x +3 Click here to see answer by longjonsilver(2297)

 Question 33101: Find the largest perfect square factor of 704 Click here to see answer by longjonsilver(2297)

 Question 33380: How can i solve in simplest form? Sqrt M^2/N^3 Click here to see answer by checkley71(8403)

 Question 33433: I am totaly lost with this one guys!!!! "X" varies directly as the square of "S" and inversely as "T". How does "X" change when "S" is doubled? How does it change when both "S" and "T" are doubled? Click here to see answer by stanbon(57940)

 Question 33451: How many X-intercepts does the parabola have? Does its vertex lie above below or on the X-axis? Can some help me solve? Y=-X^2+2X-1 Click here to see answer by stanbon(57940)

 Question 33523: 0.9872^X=0.5 how do i figure out what X is without just putting in numbers and seeing if they equal 0.5? Click here to see answer by longjonsilver(2297)

 Question 33600: I know this is the answer for 2X^2-3X+1=0. But if it were to be left irrational root in simplest form would this be it? 3(+-)Sqrt 1 / 4 Click here to see answer by priya(51)

 Question 33597: How can i solve by completing the square? I know a bit how but i just need some help! X^2-X-1=0 X^2-X=1 X^2-x/2=1/2 X^2-x/2+(-1/4)^2=1/2+(-1/4)^2 I get lost here can some one help me solve or make any corrections THNX! Click here to see answer by Nate(3500)

 Question 33625: I have a problem that says to simplify. I can get as far as the square root of 68. The correct answer is 2 sqaure roots of 17. Can you tell me the steps please to get to that point? Click here to see answer by sarah_adam(201)

 Question 33613: Rationalize the denominator. Please assist me with this problem. _______ √ 25p^7 ....r Actual problem is here http://www.ccaurora.edu/mat090/Tests/test_chapter_8_files/image030.gif Click here to see answer by kietra(57)

 Question 33119: Is this right? Sqrt M^2/N^3 = = M/N^2(Sqrt N) Click here to see answer by Earlsdon(6294)
 Question 33119: Is this right? Sqrt M^2/N^3 = = M/N^2(Sqrt N) Click here to see answer by kietra(57)

 Question 33668: Express irrational solutions in simplest radical form. N^2-6=0 Would this be (+-)Sqrt 5? (n-5)^2=20 Would this be (+-)2*Sqrt 5? Click here to see answer by Earlsdon(6294)

 Question 33704: I was wondering if yall could check my work Please let me know if theres anything rong! The question ask How many X-intercepts the parabola has and whether its vertex lies above, below or on the X-axis. This is problem #1: Y= x^2 - 5x + 6 The answer i got for this one was that: It has two X-intercepts and it is Below the X-axis. Problem #2 is: Y= -X + 2x - 1 The answer that i got was: It has one X-intercept and it is ON the X-axis. Are these both right? THNX!!!!!!!!! Click here to see answer by mukhopadhyay(490)

 Question 33785: Hello. The problem is cube root of 6/384. I have come up with (cube root of 6) / 4. The directions said simplify. Is this the correct answer? Thanks in advance. Click here to see answer by Nate(3500)

 Question 33783: The problem is cube root of -8a^8b^13. The instructions say simplify the radical expression and assume that all variables represent positive real numbers. I have come up with -2a^2b^4 cube root a^2b. Could you please tell me if I have the correct answer? Thanks in advance. Click here to see answer by Nate(3500)

 Question 33782: Hello. The problem is -3 (cube root, I dont know how to type the sign) -27. I have come up with -3 as a solution. The instructions say evaluate the radical expression if it is a real number. Approximate irrational numbers to the nearest hundredth. If not a real number than state so. Can you possibly tell me if I have the correct answer? Any help would be appreciated. Thanks in advance. Click here to see answer by Nate(3500)

 Question 33793: The problem is cube root 3 * cube root 4. i have come up with 2 square root of 2. The directions say simplify. Can someone please verify if this is correct? Thanks for your help in advance. Click here to see answer by Nate(3500)
 Question 33793: The problem is cube root 3 * cube root 4. i have come up with 2 square root of 2. The directions say simplify. Can someone please verify if this is correct? Thanks for your help in advance. Click here to see answer by AnlytcPhil(1278)

 Question 33810: Hello. The problem is 9 / square root 7. The problem says rationalize the denominator and assume all variables represent positive real numbers. I came up with 9 (squareroor) 7. Please let me know if this is correct and if not, where I messed up. Thanks in advance. Click here to see answer by stanbon(57940)

 Question 33761: If the square root of X is equal to the Square root of 14, then what is the answer for X? I came up with X is equal to 14, therefore square root of X is equal to 14. Is this correct or incorrect? What is X equal to? Thank You Click here to see answer by venugopalramana(3286)
 Question 33761: If the square root of X is equal to the Square root of 14, then what is the answer for X? I came up with X is equal to 14, therefore square root of X is equal to 14. Is this correct or incorrect? What is X equal to? Thank You Click here to see answer by kietra(57)

 Question 33984: Hello. The problem is cube root of 3 / square root of 7 + square root of 10. The directions say rationalize the denominator and assume that all variables represent positive real numbers. I have come up with the square root of 3. Can someone please verify if I have the correct answer? Thanks in advance. Click here to see answer by Cintchr(481)
 Question 33984: Hello. The problem is cube root of 3 / square root of 7 + square root of 10. The directions say rationalize the denominator and assume that all variables represent positive real numbers. I have come up with the square root of 3. Can someone please verify if I have the correct answer? Thanks in advance. Click here to see answer by dimndskier(8)

 Question 34217: the nth term of a different sequence is n-2/n2 write the first three terms of this sequence?? Click here to see answer by venugopalramana(3286)

 Question 34213: the nth term of a sequence is (n-2)/n^2 write the first three terms of this sequence? Click here to see answer by stanbon(57940)

 Question 34280: Find the length of the missing side of the right triangle. one side says 35ft. and 28ft then the other is blank. I used the theorem. c^2=a^2 + b^2 c^2= 28^2 + 35^2 c^2=784 that's as far as I got and now I'm stuck could someone please help? Click here to see answer by tmarienatree(17)

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