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

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Question 341224: (sqrt x+7)-2=(sqrt x-9)
Click here to see answer by edjones(8007)

Question 341334: Hello!
I have this problem and not quite sure if I did it right.
Write the expression in lowest terms. Assume that all variables represent positive real numbers:
54+36√21
--------
45
Will this equal:
6+4√21
------
5

or can √21 be factored more with √3 and √7?
Thank you!
Click here to see answer by mananth(16946)

Question 341000: If I have a number example: 243 with an exponent that's the fraction 5/3, how do I work that? I know how exponents work but not when they are fractions. Thank you
Click here to see answer by Fombitz(32388)

Question 341816: sqrt 5 +4 (not under ratical) divided by sqrt 2 +3sqrt7 numerator needs to be rationalized
Click here to see answer by edjones(8007)

Question 341839: the cubed root of (2x+3) + 5= 2. I was told the answer is -15, but can't figure out how to get there. This is what I have tried.
(2x+3)^3+5^3=2^3. Put both sides to the 3rd power to undo the cubed root.
8x^3+125=8. Simplified.
8x^3= -117 Subtract 125 from both sides.
x^3= -117/8 Divide both sides by 8.
x^3= -14.625
x= cubed root of (-14.625)
x= i(2.445)
As you can tell I'm doing something totally wrong because I am WAY off.
Click here to see answer by Fombitz(32388)

Question 342182: What is the radical form of 8/3/5 (8 and 3 fifths)
I was told that it is 24/5 but I can't understand the steps to the answer
Click here to see answer by Alan3354(69443)

Question 342399: How do i solve: h(x)=3x^2+5 if h(4b)?
Click here to see answer by jim_thompson5910(35256)

Question 342424: how do i find the domain of: f(x) = x+[3/(5-x)]
Click here to see answer by Fombitz(32388)

Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x?
Click here to see answer by edjones(8007)

Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x?
Click here to see answer by Fombitz(32388)

Question 342903: The question is the CUBE ROOT of this : 22(x+1)^2
The answer in the back of my book is 2(x+1) THE CUBE ROOT 9(X+1).
PLEASE HELP.
Click here to see answer by Fombitz(32388)

Question 342906: The question is THE SQUARE ROOT of (128a^2b^4) DIVIDED BY
THE SQUARE ROOT of (16ab).
I know you have to multiply by the conjugate. After that, I get lost. Please help.
Click here to see answer by Fombitz(32388)

Question 342910: The question is 2 times the square root of 32 PLUS 3 times the square root of 8 MINUS 4 times the square root of 18.
Please help.
Click here to see answer by nyc_function(2741)

Question 342898: elana begins with a large square sheet that is 169 square inches. how many squares can she cut out the paper that are 4 inches on each side?
Click here to see answer by nyc_function(2741)

Question 342895: for college wrestling competitions the ncaa requires that the wrestling mat be a square with an area of 1764 square feet. what is the length of each side on the mat?

Click here to see answer by kcanil08(11)

Question 342970: Find the third root of 4/9x^2
Click here to see answer by Fombitz(32388)

Question 342902: Simplify and assume that the variables can represent any real number.
the question is the SQUARE ROOT of this: (x^2+16x+64). The answer given in the back of my book is the ABSOLUTE VALUE of (x+8). I guess I'm missing a step. Please help.
Click here to see answer by jsmallt9(3758)

Question 343280: Graph f(x) = (x - 6)^5 -5
Click here to see answer by Fombitz(32388)

Question 343346: simplify complex rational fractions
(a/b+c/d)/e
(3*x^-2*y-2*a*b^-1)/x
((x+2)*1/2(x+1)^-1/2(x+1)^1/2)/(x+2)^2
((3*x-1)^1/2*2-(2*x+3)*1/2*(3*x-1)^-1/2)/3*x-1
((x+2)^1/3*3-(3*x-1)*1/3(x+2)^-2/3)/(x+2)^2/3
Click here to see answer by haileytucki(390)

Question 343375: Solving Radical Equations: Solve the following equation:
(The square root is over the 8-x)
√8-x + 6 = 4 I tried but it doesnt work is it no real solution?

8-x=4-6
8-x=-2
-8 -8
-x=-10 when you plug it in it doesnt work help me
lease what am I doing wrong.

Click here to see answer by stanbon(75887)

Question 343413: If √(x+5)- 3 = 1, then what is the value of x?
Click here to see answer by Fombitz(32388)

Question 343483: sq root of 3x+7=3x+5
Click here to see answer by Fombitz(32388)

Question 343483: sq root of 3x+7=3x+5
Click here to see answer by solver91311(24713)

Question 343489: sq root 0f 4x...-x+3+0
Click here to see answer by Fombitz(32388)

Question 343520: x-(sqrt)2x+5=5

Click here to see answer by Fombitz(32388)

Question 343546: Can you explain to me how to do RADICAL 8 multiplied by RADICAL 6
Click here to see answer by jim_thompson5910(35256)

Question 343528: 3 √14 + 2 √2
Click here to see answer by Alan3354(69443)

Question 343529: 2 √18 + √27
Click here to see answer by Alan3354(69443)

Question 343530: 4 √25 / 2 √5
Click here to see answer by Alan3354(69443)

Question 340744: Solve the radical equation, and check ALL proposed solutions:
sqrt(x+6) + sqrt(2-x) = 4
Answer choices:
A.) {2, -2}
B.) {0}
C.) {sqrt(31), -2}
D.) {-2}
Thanks!
Click here to see answer by Sphynx pinastri(7)

Question 343767: y+1/3=2
Click here to see answer by unlockmath(1688)

Question 343819: I do not know how to do this equation. I need help getting the solution.

Click here to see answer by Alan3354(69443)

Question 343977: solve
x - radical 2x+5 = 5
the 2x+5 is under the radical

Click here to see answer by Fombitz(32388)

Question 343973: solve
15√27 + 4√75
Click here to see answer by Fombitz(32388)

Question 343916: 3x^2+x-11/x
Click here to see answer by Fombitz(32388)

Question 344059: Solve by multiplying both side by the LCD.
x+3/x-1 + x+4/x+1 = 8x+5/x^2-1

My Work: (x+1)(x+3)+(x-1)(x+4)=8x+5
2x^2-7x-1=8x+5
2x^2-15x-6=0
no solution
Is this correct please help thanks
Click here to see answer by Fombitz(32388)

Question 344071: what is radical 9ab raised to the third power?
Click here to see answer by Fombitz(32388)

Question 344081: what is the square root of 45 plus the square root of 5 times 2?
Click here to see answer by checkley77(12844)

Question 344326: Hi,
How do you solve: x^3 - 2x^2 + 9x - 18 = 0
the teacher has given us one solution, 3i/square root of -9.
i need two other solutions and am not sure how to obtain them.
i have tried rational root theorem/ long division but do not know how to do it with square roots and imaginary numbers.
thanks
Click here to see answer by Fombitz(32388)

Question 343532: 7 √32 / 9 √8
Click here to see answer by jsmallt9(3758)

Question 344443: sqrt of x sqr -17=8
Click here to see answer by Fombitz(32388)

Question 344443: sqrt of x sqr -17=8
Click here to see answer by Alan3354(69443)

Question 344472: (xsqr+6x)1/4as the sqr =2
Click here to see answer by Fombitz(32388)

Question 344480: (x^2+6x)^1/4=2
Click here to see answer by nerdybill(7384)

Question 344499: how do i rewrite the following with rational exponents?
^3√xy^2z
Click here to see answer by Fombitz(32388)

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