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

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Question 762877: Solve √(x=8)
Click here to see answer by stanbon(75887)

Question 762876: Solve √(x+4=-10)
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Question 762878: Solve for y: y2-3y=18

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Question 762879: Solve for z: z2-8z=9

Click here to see answer by Cromlix(4381)

Question 762879: Solve for z: z2-8z=9

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Question 762880: Using the quadratic formula, identify the a, b and c values from the equation x2+4x+1=0

Click here to see answer by Cromlix(4381)

Question 762964:
Click here to see answer by tommyt3rd(5050)

Question 763102: 3 root 2a - 6 root 2a simplest form of the radical expression
Click here to see answer by MathLover1(20849)

Question 763293: I need help understanding the solution to this problem. (square root 2 +1) (square root 2 - 3) = (I used the FOIL method) (2 - 3) -3 square root 2 + square root 2 = -1 -2 square root 2. I do not understand where the -2 square root 2 came from. Please help.

Click here to see answer by MathLover1(20849)

Question 763395: find x which minimizes
Click here to see answer by Alan3354(69443)

Question 763507: Simplify.Express in simplest radical form
(√3-√5)(√3-√5)
Click here to see answer by algebrahouse.com(1659)

Question 762792: Simplify √27x3 assume x represents a positive value
Click here to see answer by 2897696(96)

Question 764051: Solve. Check for extraneous solutions.

A. -2/3
B. -1
C. 1 and -2/3
D. 1
Click here to see answer by josgarithmetic(39616)

Question 752081: please show me how to figure out: 2sqrty + sqrt8z
i'm so lost with this stuff... thank you.
Click here to see answer by tommyt3rd(5050)

Question 754737: how does 3-sqrt(18)-sqrt(18)/3-6 simplify to -3 + 2 sqrt(2)

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Question 764957: square root of 7 times square root of 42 divided by square root of 3
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Question 764957: square root of 7 times square root of 42 divided by square root of 3
Click here to see answer by josmiceli(19441)

Question 764956: square root of 90 + square root of 250
Click here to see answer by Alan3354(69443)

Question 765156: Every time I try to solve this equation I come up with no solution, but that answer is incorrect. Help please?
[(11-x^2)^1/2]-[2/(11-x^2)^1/2]=1
Click here to see answer by rothauserc(4718)

Question 765703: I know you have to square at least twice but it get really confusing. Please help:
√x - √x-5 =1

Click here to see answer by rothauserc(4718)

Question 750167: 4. Simplify the following rational expression:
√(140x^5 )/√5x
Click here to see answer by tommyt3rd(5050)

Question 765758: solve the following equation: radical 12-x is equal to radical x+6.
when I worked this problem out I got " no real solution"
Click here to see answer by stanbon(75887)

Question 754495: Use the product rule to multiply.
√x+1 * √x-1 = (Type an exact answer, using radicals as needed.)
Click here to see answer by tommyt3rd(5050)

Question 755341: please help: 4sqrt(3) - 6sqrt(75)
thank you
Click here to see answer by tommyt3rd(5050)

Question 763542: Check for extraneous.

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Question 765976: I need help with this! I need direct responses, please help!
f(x)= square root 2x+1
g(x)=x+3
solve for g(f(x))
thank you!!
Click here to see answer by Lola77479(27)

Question 766247: simplify- sqrt 128a^3 b^5
Click here to see answer by stanbon(75887)

Question 766569: Please help solve me solve ^3√56x -^3√189x
Click here to see answer by Alan3354(69443)

Question 766857: Can you help me solve for real roots?
2x^8+15x^4=27
Click here to see answer by tommyt3rd(5050)

Question 766955: PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME.
√(2)[√(4y) - √(18)]
A. 2y - 3
B. √(8y) - 6[√(2)]
C. √(8y) - 6
D. 2[√T(2y) - 6]
E. √(2y) - 3[SQRT(2)]
F. 2[√(2y)] - 6

{3[√(3)] + 7}[√(3) - 5]
A -35
B-32
C3[√(3)] + 2
D-8[√(3)] - 26
E 3[√(3)] - 12
F 3[√(9)] - 8[√(3)] - 35

4/[√(5)]
A 4/[√(5)]
B{4[√(5)]}/25
C4/25
D[√(5)]/25
E {4[√(5)]}/5
F 100/[√(5)]
√(2)[ √(4y) -√(18)]
A. 2y - 3
B.√(8y) - 6[√(2)]
C. √(8y) - 6
D. 2[√(2y) - 6]
E. √(2y) - 3[√(2)]
F. 2[√(2y)] - 6

{3[√(3)] + 7}[√(3) - 5]
A. -35
B. -32
C. 3[√(3)] + 2
D. -8[√(3)] - 26
E. 3[√(3)] - 12
F. 3[√(9)] - 8[√(3)] - 35

4/[√(5)]
A. 4/[√(5)]
B. {4[√(5)]}/25
C. 4/25
D. [√(5)]/25
E. {4[√(5)]}/5
F. 100/[√(5)]
20. Suppose that the volume "V" (in cubic feet) of a blimp with radius "r" is given by V = 4/3 * pi * r3. If the blimp has a volume of 10,000 cubic feet, find the approximate radius of the blimp.
A 13.98 feet
B14.5 feet
C62864.79 feet
D5863.2 feet
E 29 feet
F 13.367 feet

Click here to see answer by stanbon(75887)

Question 767135: simplify 2 sqrt(8x^3) ??
Click here to see answer by algebrahouse.com(1659)

Question 767245:
Click here to see answer by tommyt3rd(5050)

Question 767258: Have mercy on me please!

SQRT(x + 8) + SQRT(x + 15) = SQRT(9x + 40)
A x = 1
Bx = 1, 4.24444
Cx = 4.24444
Dx = 1, -4.24444
E x = -4.24444
F x = -1

10. Find the volume of a cube on which the diagonal of a face measures 2.
A CUBERT(2)
B8
C12
D2 SQRT(2)
E 4
F 6 SQRT(2)

The swing of a pendulum is shown by the equation: S = 6.28SQRT(L/32) where S is the time in seconds the pendulum takes to make a full swing (back and forth) and L is the length of the pendulum in feet.
11. How many seconds will a full swing take if the length of the pendulum is 4 feet?
A s = .02
Bs = 22
Cs = .125
Ds = 24
E s = 2.2
F s = 25.12

12. How long is the pendulum if it takes 5 seconds to make a full swing?
A L = 12.4 cm
BL = 30.1 ft
CL = 20.3 cm
DL = 20.3 ft
E L = 30.1 cm
F L = 12.4 ft
Click here to see answer by fcabanski(1391)

Question 767260: HELP A POOR GIRL OUT!
1. x/3SQRT(2x-3)-1/SQRT(2x-3)=1/3
2. CUBERT(2x3 - 24) = -x
3. (4x4 - 48)^(1/4) = x
4. SQRT(x2 - 8x) = -3
Click here to see answer by ramkikk66(644)

Question 767374: RADICAL EXPRESSION SIMPLEST FORM 4X-2)2=36
Click here to see answer by solver91311(24713)

Question 767391: How would I solve " 11 divided by the fourth root of 11"? Thanks.
Click here to see answer by rothauserc(4718)

Question 767454: x/2>1
Click here to see answer by tommyt3rd(5050)

Question 767650: find tangent and normal line equation for f(x) at x=2.
F(x) = 3x^2 +2
Click here to see answer by Alan3354(69443)

Question 767731: how do I solve the following?
) Express in exponential form
sq root of 2+5x

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Question 767775: -2/3z greater than or equal to 6
Click here to see answer by Alan3354(69443)

Question 767750: For what positive integers n greater than or equal to 2 is always a true statement?
Click here to see answer by Edwin McCravy(20054)

Question 767923: Im really confused since our teacher doesnt explain well, although thats not really a good reason.
(√4:(7x^2y))/(√3:(4x^5y^2))
can you show me the answer and solution if possible? thanks!
Click here to see answer by stanbon(75887)

Question 759191: I want to solve the following equation
{1.5-(x^2)}^(1/2)
Click here to see answer by tommyt3rd(5050)

Question 768314: Please rationalize the denominator and simplify.
(b)/((sqrt(b^2-16))-b)
Thanks.
Click here to see answer by josgarithmetic(39616)

Question 768376: I need help please. Simplify 5[sqrt2]/2-i by rationalizing the denominator.
I multiplied it by 2+i/2+i, right? I ended up w/ the answer of 15i[sqrt2]/4-i, but that's not right. I'm not sure what I'm doing wrong. Answer options:
A. [sqrt2](2-i)/3
B. 10/2[sqrt2]-i[sqrt2]
C. 5[sqrt2](2-i)/3
D. 2[sqrt2]+i[sqrt2]
Click here to see answer by Alan3354(69443)

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