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

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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 216228: 4x^2-200=-20
Click here to see answer by checkley77(12569)

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 217232: g(t)=(25-p^2)/(p^2+10+25) simplified form please and explain. Thanks
Click here to see answer by checkley77(12569)

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 217760: whats the answer for: radical 25x^2y
Click here to see answer by Alan3354(31513)

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 218496: the square root of two sevenths times the square root of seven thirds
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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 219474: what are radicals

Click here to see answer by Earlsdon(6294)

Question 219522: express x^2/3(y^5z)^1/3 using radicals
Click here to see answer by jsmallt9(3296)

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 220297: 3√27 - 5 3√8 solve and simplify
Click here to see answer by rapaljer(4667)

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 221348: I need to Simplify. √(121/x2)
Click here to see answer by jim_thompson5910(28705)

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 222431: Please help. I am supposed to multiply and simplify by factoring:
Square root 2b^5 sqrt22c^6

Click here to see answer by rapaljer(4667)

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

Question 223123: How do i write 4^3/2 as a radical
Click here to see answer by RAY100(1637)

Question 223301: how do you get the answer in this problem 5p-4p=7
Click here to see answer by checkley77(12569)

Question 223301: how do you get the answer in this problem 5p-4p=7
Click here to see answer by stanbon(57960)

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)

Question 223914: can you please help me with this equation? :]
+ = 0
Click here to see answer by jsmallt9(3296)

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