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

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Question 991000: sqrt(4x+1)-sqrt(x-1)=2
Click here to see answer by josgarithmetic(39617) About Me 
Question 991000: sqrt(4x+1)-sqrt(x-1)=2
Click here to see answer by MathTherapy(10552) About Me 

Question 991173: sqrt(x+1)+sqrt(x-1)=sqrt(2x+1)
Click here to see answer by ikleyn(52781) About Me 

Question 991482: Hello. I am having a real \hard time with rationalizing so I hope you can help. My problem is this:
5√5-3√3
------- 4√5+2√3
Do I need to multiply by the same conjugated denominator? would it be 4+sqrt%285%29-2+sqrt+%283%29

Click here to see answer by rothauserc(4718) About Me 

Question 991601: I need help simplifying radicals. Such as problems like ^3(radical sign)54
So 54 is under the radical sign.

Click here to see answer by MathLover1(20849) About Me 
Question 991601: I need help simplifying radicals. Such as problems like ^3(radical sign)54
So 54 is under the radical sign.

Click here to see answer by ikleyn(52781) About Me 

Question 992017: I am trying to solve an equation in which a radical is = to a variable expression but I am having problems. I would like to ask for your help.
%28sqrt%284x%2B13%29%29=x-2
After I square off both sides, I get sqrt%284x%2B13%29%5E2=%28x-2%29%5E2
On the left of the equal sign, the squares cancel out and if I multiply (x-2)(x-2) my problem now looks like this:
4x+13=x^2-4x+4
To continue solving, do I collect all terms to the right or to the left? This is my confusion, I hope you can help me.

Click here to see answer by josgarithmetic(39617) About Me 

Question 992036: I am not having good luck with this answer. Please help!!!
2x-3=sqrt%2830-7x%29
I squared off the expression 2x-3 and used the FOIL method to get this:
4x-12x+9=30-7x I continue by subtracting 4x-12x to get -8x+9=30-7x. Here's where I think I lose it.
Somewhere I'm missing something because I keep getting x=21 but the answer key says {3}

Click here to see answer by jim_thompson5910(35256) About Me 
Question 992036: I am not having good luck with this answer. Please help!!!
2x-3=sqrt%2830-7x%29
I squared off the expression 2x-3 and used the FOIL method to get this:
4x-12x+9=30-7x I continue by subtracting 4x-12x to get -8x+9=30-7x. Here's where I think I lose it.
Somewhere I'm missing something because I keep getting x=21 but the answer key says {3}

Click here to see answer by macston(5194) About Me 
Question 992036: I am not having good luck with this answer. Please help!!!
2x-3=sqrt%2830-7x%29
I squared off the expression 2x-3 and used the FOIL method to get this:
4x-12x+9=30-7x I continue by subtracting 4x-12x to get -8x+9=30-7x. Here's where I think I lose it.
Somewhere I'm missing something because I keep getting x=21 but the answer key says {3}

Click here to see answer by MathTherapy(10552) About Me 

Question 992767: Hello! Hope anyone can help me :)
The topic is dividing radicals
The area of a rectangular streamer is 20 sq.m its width is 2 sqrt(2) jow long is the streamer?
Thank you in advance! :)

Click here to see answer by Cromlix(4381) About Me 
Question 992767: Hello! Hope anyone can help me :)
The topic is dividing radicals
The area of a rectangular streamer is 20 sq.m its width is 2 sqrt(2) jow long is the streamer?
Thank you in advance! :)

Click here to see answer by stanbon(75887) About Me 
Question 992767: Hello! Hope anyone can help me :)
The topic is dividing radicals
The area of a rectangular streamer is 20 sq.m its width is 2 sqrt(2) jow long is the streamer?
Thank you in advance! :)

Click here to see answer by rothauserc(4718) About Me 

Question 992872: Can I get your help? My problem is this:
3x=1%2Bsqrt%284x%5E2%2Bx%2B7%29
I started by subtracting the 1 from both sides which gave me 3x-1=sqrt%284x%5E2%2Bx%2B7%29 Now, would I add 4x^2 and x which would give me sqrt+%285x%5E3%2B7%29Now my equation looks like this: +3X-1=SQRT%285x%5E3%2B7%29 From here I would square both sides %283x-1%29%5E2=%28sqrt+5x%5E3%2B7%29%5E2
I get 9x^2+3x-1-3x+1-1=5x^3+7. If I continue, 3x-1-3x+1 would cancel out which makes the equation look like this:
9x^2-1=5x^3+7. I subtract 9x^2 from both sides and I subtract 7 from both sides so I end up with -8=-4x. Then I divide by -4 and my answer would be 2. Can you verify to see if I made a mistake?

Click here to see answer by Alan3354(69443) About Me 
Question 992872: Can I get your help? My problem is this:
3x=1%2Bsqrt%284x%5E2%2Bx%2B7%29
I started by subtracting the 1 from both sides which gave me 3x-1=sqrt%284x%5E2%2Bx%2B7%29 Now, would I add 4x^2 and x which would give me sqrt+%285x%5E3%2B7%29Now my equation looks like this: +3X-1=SQRT%285x%5E3%2B7%29 From here I would square both sides %283x-1%29%5E2=%28sqrt+5x%5E3%2B7%29%5E2
I get 9x^2+3x-1-3x+1-1=5x^3+7. If I continue, 3x-1-3x+1 would cancel out which makes the equation look like this:
9x^2-1=5x^3+7. I subtract 9x^2 from both sides and I subtract 7 from both sides so I end up with -8=-4x. Then I divide by -4 and my answer would be 2. Can you verify to see if I made a mistake?

Click here to see answer by stanbon(75887) About Me 

Question 992992: 3x-5y=900 ,5x-9y=1300 then x=? and y = ?
Click here to see answer by ikleyn(52781) About Me 

Question 993351: Hello :)
Hope anyone can answer this :) thank you!
The topic is rationalizing denominators using conjugates
2 sqrt(3) + sqrt(7) / 5 sqrt(3) — 2 sqrt(7)
Hope anyone can help me :)

Click here to see answer by stanbon(75887) About Me 

Question 993595: Hello!
Hope anyone can help me answer this :)
1.) A—b / a sqrt(b) –b sqrt(a)
2.) ab / a sqrt(b) — b sqrt(a)
The topic is rationalizing denominators using conjugates
Hope anyone can explain it too
Thank you! :)

Click here to see answer by Alan3354(69443) About Me 

Question 993750: Can you help me with this?
a^5bc^3 over sqrt%28a%5E4b%5E5c%29
How would I do this? I would think that I should multiply top and bottom by sqrt%28abc%29. but I don't know.

Click here to see answer by Alan3354(69443) About Me 

Question 993752: I'm really having a tough time with this problem, can you help me?
here is the problem:
6sqrt%2812%29-8sqrt%2850%29+9sqrt%2872%29
I rewrote it using prime factorization and got this:
6%2A2sqrt%283%29-8%2A5sqrt%282%29+9%2A3%2A2sqrt%282%29
I simplified to this:
12sqrt%283%29-40sqrt%282%29+54sqrt%282%29
I tried to solve this and got 12sqrt%283%29+14sqrt%282%29 but the answer key shows the answer as: 57sqrt%283%29-40sqrt%282%29 Can you tell me how they got that?

Click here to see answer by Alan3354(69443) About Me 
Question 993752: I'm really having a tough time with this problem, can you help me?
here is the problem:
6sqrt%2812%29-8sqrt%2850%29+9sqrt%2872%29
I rewrote it using prime factorization and got this:
6%2A2sqrt%283%29-8%2A5sqrt%282%29+9%2A3%2A2sqrt%282%29
I simplified to this:
12sqrt%283%29-40sqrt%282%29+54sqrt%282%29
I tried to solve this and got 12sqrt%283%29+14sqrt%282%29 but the answer key shows the answer as: 57sqrt%283%29-40sqrt%282%29 Can you tell me how they got that?

Click here to see answer by MathTherapy(10552) About Me 

Question 993742: Hello. I am having an issue solving this problem and I look to you for help. My problem is:
6sqrt%2812%29-8sqrt%2850%29+9sqrt%2872%29. By using prime factorization, I know that 12 = 2^2*3
50 = 5^2*2
72 = 3^2*2^3
Now, I plug these terms back in and I get:
6%2A2sqrt%283%29-8%2A5sqrt%282%29+9%2A3%2A2sqrt%282%29 If I continue, I get:
12sqrt%283%29-40sqrt%282%29+54sqrt%282%29
The answer key shows that the answer should be
57sqrt%283%29-40sqrt%282%29 Can you see where I went wrong? I'm not coming up with the right answer.

Click here to see answer by Theo(13342) About Me 

Question 993813: I am trying to solve this problem:
a^5 bc^3
_________
+sqrt%28a%5E4b%5E5c%29
I am thinking that I should multiply the +sqrt%28a%5E4b%5E5c%29 on top and bottom. but I don't know. Can you help me?

Click here to see answer by rothauserc(4718) About Me 

Question 993859: Hello!
I hope anyone can answer :)
The topic is rationalizing denominators using conjugates
2 + sqrt(2) / sqrt(2) + sqrt(5)
Thankyou! :)

Click here to see answer by Alan3354(69443) About Me 

Question 993857: Hello!
I hope anyone can answer :)
The topic is rationalizing denominators using conjugates
4sqrt(2) + 3 / 3sqrt(2) +sqrt(3)
Thankyou! :)

Click here to see answer by Alan3354(69443) About Me 

Question 994263: If a function p is defined by P(x)= 2x^2-x^0/7, find the value of p(-2)
Click here to see answer by stanbon(75887) About Me 

Question 995444: What is √y^5
Click here to see answer by Alan3354(69443) About Me 

Question 996128: Please help me solve this equation: +sqrt+%28sqrt+%28x%2B5%29+%2Bx%29+=+5+
Click here to see answer by josgarithmetic(39617) About Me 
Question 996128: Please help me solve this equation: +sqrt+%28sqrt+%28x%2B5%29+%2Bx%29+=+5+
Click here to see answer by ikleyn(52781) About Me 

Question 996350: x+2/5x+20=?/5(x-2)(x+4)
Click here to see answer by stanbon(75887) About Me 

Question 996998: Hello. I know it might sound a bit crazy but can you help me solve this radical equation? I have been so focused on other formulas that I forgot this one. My question is:
sqrt%28x%2B15%29-x=3 I should start by adding x to both sides so the equationb now looks like this: sqrt%28x%2B15%29=3%2Bx at this time, I square both sides to look like this: sqrt%28x%2B15%29%5E2=%28x%2B3%29%5E2 Since the squares eliminate themselves on the left, I foil the right so the equation looks like this:
x+15=x^2+6x+9. Here is where I stop because the answer key has an answer of 1 but I'm not getting that no matter which way I go. Can you advise me?

Click here to see answer by Alan3354(69443) About Me 
Question 996998: Hello. I know it might sound a bit crazy but can you help me solve this radical equation? I have been so focused on other formulas that I forgot this one. My question is:
sqrt%28x%2B15%29-x=3 I should start by adding x to both sides so the equationb now looks like this: sqrt%28x%2B15%29=3%2Bx at this time, I square both sides to look like this: sqrt%28x%2B15%29%5E2=%28x%2B3%29%5E2 Since the squares eliminate themselves on the left, I foil the right so the equation looks like this:
x+15=x^2+6x+9. Here is where I stop because the answer key has an answer of 1 but I'm not getting that no matter which way I go. Can you advise me?

Click here to see answer by ikleyn(52781) About Me 
Question 996998: Hello. I know it might sound a bit crazy but can you help me solve this radical equation? I have been so focused on other formulas that I forgot this one. My question is:
sqrt%28x%2B15%29-x=3 I should start by adding x to both sides so the equationb now looks like this: sqrt%28x%2B15%29=3%2Bx at this time, I square both sides to look like this: sqrt%28x%2B15%29%5E2=%28x%2B3%29%5E2 Since the squares eliminate themselves on the left, I foil the right so the equation looks like this:
x+15=x^2+6x+9. Here is where I stop because the answer key has an answer of 1 but I'm not getting that no matter which way I go. Can you advise me?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 997004: I have a question here and I don't know where to start. Can you help me?
sqrt%28x-1%29%2B2=sqrt%282x%2B5%29

Click here to see answer by Alan3354(69443) About Me 

Question 997090: 3 to the power of what equals the square root of 27?

Click here to see answer by ikleyn(52781) About Me 

Question 997797: 4 + radical 8
Over 2

Click here to see answer by MathLover1(20849) About Me 

Question 997856: how do u simplify 3 radical 8?
Click here to see answer by fractalier(6550) About Me 

Question 997864: how do I simplify 7 radical 12?
Click here to see answer by fractalier(6550) About Me 
Question 997864: how do I simplify 7 radical 12?
Click here to see answer by solver91311(24713) About Me 

Question 997865: how do I simplify 9 radical 242?
Click here to see answer by fractalier(6550) About Me 

Question 998486: How did 60 be the answer in (4√3)×(5√3)?
Click here to see answer by josgarithmetic(39617) About Me 

Question 998489: What is the answer to (4√3) * (5√3) and the solution on how to get that answer?
Click here to see answer by josgarithmetic(39617) About Me 

Question 998565: Simplify. Assume that variables can represent any value.
+sqrt%28+4x%5E2%2B20x%2B25+%29+

Click here to see answer by fractalier(6550) About Me 

Question 998851: What is the simplest form of...refer to image
http://moodle.ncvps.org/pluginfile.php/2035767/question/questiontext/2241511/7/3693120/eq_eb0481.gif

Click here to see answer by MathLover1(20849) About Me 

Question 999119: Is 13/2 greater than,less than, or equal to square root 40?

Click here to see answer by Fombitz(32388) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710