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

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Question 216086: sorry but i'am not sure what this kind of problem is what is x? sqrt (3x+1)+ sqrt (2x+4)= 3 i subtracted>>>sqrt (2x+4) from both sides and got >>>>sqrt (3x+1)= 3 -sqrt (2x+4) then i squared both sides to remove the radical and got>> 3x+1= (3-(sqrt(2x+4)(3-sqrt(2x+4)then i did that and got 3x+1= 9-6 sqrt(2x+4) +2x+4 then i added 9+4 and got >> 3x+1=13-6 sqrt(2x+4) +2x then i subtrcated 2x from each side and got>>> x+1=13-6 sqrt(2x+4) then i subtracted 1 from each side and got>> x=12-6sqrt(2x+4) added 6sqrt(2x+4) to each side and got>>> 6sqrt(2x+4)+x=12 then i subtracted x from both sides and got>>> 6sqrt(2x+4)=12-x then i squared both sides to remove the radical n got 36(2x+4)=(12-x)(12-x) 72x+144=144-12x-12x+x^2 72x+144= 144-24x=x^2 -72x-144 -144-72x 0=-96x+x^2 0=x^2+96 i wanted to know from her do i plug the number into x=b +or- sqrt b^2-4(a)(c)divided by 2(a) and i wanted to kno if u get a negative answer from this equation x=b +or- sqrt b^2-4(a)(c)divided by 2(a) how do you check it because you cant square a negative in the calculator Click here to see answer by Alan3354(31513)
 Question 216086: sorry but i'am not sure what this kind of problem is what is x? sqrt (3x+1)+ sqrt (2x+4)= 3 i subtracted>>>sqrt (2x+4) from both sides and got >>>>sqrt (3x+1)= 3 -sqrt (2x+4) then i squared both sides to remove the radical and got>> 3x+1= (3-(sqrt(2x+4)(3-sqrt(2x+4)then i did that and got 3x+1= 9-6 sqrt(2x+4) +2x+4 then i added 9+4 and got >> 3x+1=13-6 sqrt(2x+4) +2x then i subtrcated 2x from each side and got>>> x+1=13-6 sqrt(2x+4) then i subtracted 1 from each side and got>> x=12-6sqrt(2x+4) added 6sqrt(2x+4) to each side and got>>> 6sqrt(2x+4)+x=12 then i subtracted x from both sides and got>>> 6sqrt(2x+4)=12-x then i squared both sides to remove the radical n got 36(2x+4)=(12-x)(12-x) 72x+144=144-12x-12x+x^2 72x+144= 144-24x=x^2 -72x-144 -144-72x 0=-96x+x^2 0=x^2+96 i wanted to know from her do i plug the number into x=b +or- sqrt b^2-4(a)(c)divided by 2(a) and i wanted to kno if u get a negative answer from this equation x=b +or- sqrt b^2-4(a)(c)divided by 2(a) how do you check it because you cant square a negative in the calculator Click here to see answer by stanbon(57960)

 Question 216327: what you would do to simplify each one. 1. (16)^(1/2) 2. √100 Click here to see answer by drj(1380)
 Question 216327: what you would do to simplify each one. 1. (16)^(1/2) 2. √100 Click here to see answer by rfer(12729)

 Question 216580: Multiply the square root of -13 by its complex conjugate. Click here to see answer by jim_thompson5910(28705)

 Question 217291: My brother in law is taking some courses, and asked me about this problem. Please solve this equation, and show how you did so. I know that there is a way to show how the sqrt25344 equals the other side, but the book he's using seems to be skipping a step on how they got part of the answer. Thanks, Dave Click here to see answer by jim_thompson5910(28705)
 Question 217291: My brother in law is taking some courses, and asked me about this problem. Please solve this equation, and show how you did so. I know that there is a way to show how the sqrt25344 equals the other side, but the book he's using seems to be skipping a step on how they got part of the answer. Thanks, Dave Click here to see answer by stanbon(57960)

 Question 217462: Jens boat cruised 45 miles upstream and 45 miles back in a total of 8 hr. The speed of the river is 3 mph. Find the speed of the boat in still water. Click here to see answer by ankor@dixie-net.com(15746)

 Question 217793: simplify this expression: 2*(cube root of 3)+ 4*(cube root of 24)-(cube root of 81) please show steps and explain Click here to see answer by jsmallt9(3296)

 Question 218084: (x-2)^3/4 = 2 [(x-2)^3/4]^4 = 2^-4 (x-2)^3 =-8 x-2 = 3sqrt-8 = 3sqrt2 * 3sqrt-4 x = 2 + 2 (3sqrt2) This is the answer I got but I do not feel too sure is right, can you help me. (a-1)^1/3 = -3 [(a-1)^1/3]-3 = -3^-3 (a-1)^1 = -27 a-1 = 1sqrt-27 = 1sqrt3 * 1sqrt9 x = 1 + 3 (1sqrt3) Click here to see answer by stanbon(57960)

 Question 218339: I trying to rationalize the denominator but I am having a hard time because there is 2-3 then the radical 11 Please help I know that I multiply the conjuate but from there I am stuck. Thank you 5 ____ 2-3 radical 11 Click here to see answer by jim_thompson5910(28705)
 Question 218339: I trying to rationalize the denominator but I am having a hard time because there is 2-3 then the radical 11 Please help I know that I multiply the conjuate but from there I am stuck. Thank you 5 ____ 2-3 radical 11 Click here to see answer by stanbon(57960)

 Question 218496: the square root of two sevenths times the square root of seven thirds Click here to see answer by checkley77(12569)

 Question 218495: the square root of two sevenths times the square root of seven thirds Click here to see answer by Earlsdon(6294)

 Question 219094: What is the square root of 18? But it has to be simplifed. My teacher said i had to do something with factors to get the answer but he lost me. Click here to see answer by josmiceli(9817)
 Question 219094: What is the square root of 18? But it has to be simplifed. My teacher said i had to do something with factors to get the answer but he lost me. Click here to see answer by solver91311(17077)

 Question 219649: assume all variables represent positive numbers Add √(9y + 27) + √(y + 3) Click here to see answer by jim_thompson5910(28705)

 Question 219650: I can't figure out how to simplify the expression (root x+2) - 3/(x-7). I'm actually in calculus I, and I have to take the limit of this expression as x goes to 7. I know I need to factor, but I don't know where to start. Any help would be very appreciated! Click here to see answer by jim_thompson5910(28705)

 Question 219955: What is 3 divided by 5 + the square root of 2? I don't know where to start. Click here to see answer by chibisan(131)
 Question 219955: What is 3 divided by 5 + the square root of 2? I don't know where to start. Click here to see answer by jsmallt9(3296)

 Question 220643: how can i get the value/s of x in the equation: (square root of x) - 3 = x-15? Click here to see answer by nerdybill(7003)

 Question 220642: how can i get the value/s of x in the equation: (square root of x) - 3 = x-15? Click here to see answer by Alan3354(31513)

 Question 220679: how to solve radical 2 without using the calculator. square root of the cube root of the square root of the cube root of x = x^ to what power? Click here to see answer by jsmallt9(3296)

 Question 220323: (2 square root of 3+5)(5 square root of 3-2) Click here to see answer by likaaka(51)
 Question 220323: (2 square root of 3+5)(5 square root of 3-2) Click here to see answer by MathTherapy(1480)

 Question 221344: Add √(9y + 27) + √(y + 3) I dont know where to even begin.. Click here to see answer by likaaka(51)

 Question 221969: 1. Write r ^2/3 t^1/3 into radical form. 2. Write (x^3 y) ^1/4 Thanks Click here to see answer by jim_thompson5910(28705)

 Question 222033: how do you write a let statement and equation for this question? the smaller of two numbers is 1/5 of the larger number. if the sum of the two numbers is 90, find both numbers. Click here to see answer by checkley77(12569)

 Question 222305: Solve 2-x=square root of x+4. I squared both sides to give me: (2-x)^2=x=4 distribute and solve to get 0 on right side x^2-5x=0 hence no solution. Wondering if I am right. Thank you Click here to see answer by jsmallt9(3296)

 Question 223075: square root of (2x-5)- square root (x-3)=1 solve for x. Click here to see answer by jsmallt9(3296)

 Question 223569: I would like help with being able to solve this equation w^4-6w^2-2=0 Thanks you Click here to see answer by brich(7)

 Question 223581: How do you rationlize the denominator to 2 __________ sqrt{3} + sqrt {2} Click here to see answer by nerdybill(7003)

 Question 223787: square root of 2, minus 1, divided by the square root of 2, plus 1 equals? Click here to see answer by Alan3354(31513)