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

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Question 1132147: Factor x%5E12+-+y%5E12 as completely as possible with integral coefficients and integral exponents
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Question 1132142: Find the sum:


P.S. to all tutors who are willing to solve this question, all the square root signs are supposed to be cube roots. I just did not know how to insert the equation. ALL THE SQUARE ROOT SIGNS ARE SUPPOSED TO BE CUBE ROOTS!!!!!!

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Question 1132145: In the equation 2x^2 — 3x + 4 = 0, what is the sum of the squares of the roots?
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Question 1132148: Find four nontrivial (not 1) factors in terms of x and y whose product is 8%5E%282x%29+-+27%5E%282y%29.

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Question 1132936: -9radical7x-3= -radical 8x+6
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Question 1132982: Can someone please help explain how to correctly solve this.
Simplify the expression. (Assume that all variables are positive.)

w^3/2 ++sqrt%28+72+%29+ - w^3/2 ++sqrt%28+98+%29+

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Question 1132982: Can someone please help explain how to correctly solve this.
Simplify the expression. (Assume that all variables are positive.)

w^3/2 ++sqrt%28+72+%29+ - w^3/2 ++sqrt%28+98+%29+

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Question 1133226: what is the correct solution?
√-80 (square root of -80)
a.i√-80
b.-4i√5
c.-80i
d.4i√5
*√ (symbol of a square root)

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Question 1133226: what is the correct solution?
√-80 (square root of -80)
a.i√-80
b.-4i√5
c.-80i
d.4i√5
*√ (symbol of a square root)

Click here to see answer by ikleyn(52776) About Me 

Question 1133465: find the distance between (2, 3) and (- 4, 9) in radical form
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Question 1133465: find the distance between (2, 3) and (- 4, 9) in radical form
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Question 1133758: A cell phone is listed as being 6 inches. This distance is the diagonal distance across the screen. If the screen measures 4 inches in height, what is the actual width of the screen?

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Question 1133825: Find the Domain of √x - y3 = 0 (square root of "x" - y(cubed) = 0
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Question 1133833: Solve 2x^3+3x^2+5x+2=0
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Question 1133829: If P(x) is divided by x-2, the equation is x^2 -6x-10 and the remainder is -5. Find P(x)
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Question 1133831: Using Decarte’s theory list all possible rational solutions for the following equation.
F(x) = 14x^3-12x^2-7x+24

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Question 1133828: Find a cubic equation in standard form with intergral coefficient that has 4 and 2-i as roots
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Question 1133830: Solve 3x^4 -5x^3 - 7x^2 + 3x+2 =0 given that 2/3 is a root
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Question 1133827: Solve the equation x+ 3x^2-18x-40=0
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Question 1134045: Solve: 2x^4+3x^3+8x^2+15x-10=0
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Question 1134042: Solve 3x^4 -5x^3-7x^2+3x+2=0 given -1 is a root and 2/3 is a root.
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Question 1134044: Solve: x^3 +3x^2-14x-20=0
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Question 1134044: Solve: x^3 +3x^2-14x-20=0
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Question 1134096: If the expression x=sqrt(2+sqrt(2+sqrt(2+sqrt(2+...) extends to an infinite number of roots and converges to a positive number x, what is x?
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Question 1134147: Evaluate. P(x) = 3x^4+2x^3-4 for P(1/3)
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Question 1134147: Evaluate. P(x) = 3x^4+2x^3-4 for P(1/3)
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Question 1134148: Indentify the number of positive, negative, and imaginary roots, all rational roots , and the total amount of roots.
x^3+x-6=0

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Question 1134148: Indentify the number of positive, negative, and imaginary roots, all rational roots , and the total amount of roots.
x^3+x-6=0

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Question 1134155: Divide using long or synthetic division. 2x^4-3x^2+7x-8 / x^2+x-3
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Question 1134155: Divide using long or synthetic division. 2x^4-3x^2+7x-8 / x^2+x-3
Click here to see answer by MathLover1(20849) About Me 

Question 1134154: If y varies directly as x, and y=6 when x=9 find y when x =27
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Question 1134153: If y varies inversely proportionate as x, and y= 3 when x= 4 find x when y=6
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Question 1134152: If z is jointly proportional to x and y, and z =18 when x =0.4 and y =3 find z when x= 0.6 and y= 4
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Question 1134150: Solve completely.
x^2+x-10=0; one root is -1 +2i

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Question 1134151: Solve completely. x^4-3x^3-2x^2+10x-12=0
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Question 1134151: Solve completely. x^4-3x^3-2x^2+10x-12=0
Click here to see answer by MathLover1(20849) About Me 

Question 1134142: If the sales tax on a $60 purchase is $3.90, what would it be on a $240 purchase?
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Question 1134194: y^2/3-4/9=0
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Question 1133832: Solve x^4-6x^2+24x-40=0
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Question 1134600: Find the square roots of 2500.
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Question 1134634: a farmer has 450 feet of fencing and wants to enclose a rectangular area of 8750 ft^2. What dimensions should she use?
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Question 1134760: How many integers are between 6.01 and 7.75

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Question 1134897: 3. Determine whether the following statements are always true·, sometimes true and never true'. If you put "Never true". provide a counter example showing that it is false.
a. The fourth root of a positive number is a positive number.and the fourth root of a negative number is a negative number.
b. Every positive number has two cube roots. one of which is the opposite of the other.
c. The square root of a number that is not a perfect square is an irrational number
d If the radicand of a radical expression is evenly divisible by a perfect square greater than 1. then the radical expression is not in simplest form.

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Question 1134898: Why is it NOT necessary for two radical expressions have the same index if they are to be multiplied? Provide your own example including correct answer.
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Question 1135098: 800=8*10power8*x-3\2
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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