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

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Question 72949: What values for x must be excluded in the following fraction?
%28x-3%29%2F%28-8%29

I needed to verify that I got this one right, I got an answer of -3 for this one. Is this correct? Thanks in advance for double checking this for me.

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

Question 72948: What values for x must be excluded in the following fraction?
%28x-3%29%2F%28%284x-5%29%2A%28x%2B1%29%29
I got a little confused on this problem and need some assistance. Thanks

Click here to see answer by bucky(2189) About Me 

Question 72988: rationalize the denominator
5
____
3+ square root 5

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Question 72947: What values for x must be exluded in the following fraction?
%28-1%29%2F%28x-8%29
I am not sure how to do this problem and need some help. Please. Thanks

Click here to see answer by rmromero(383) About Me 

Question 73007: How would someone describe this topic, I am new to algebra? Any assistance would be greatly appreciated... Thank you
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 73089: Give the y values for x = -2, -1, 0, 1, 2, 3
Answer:
x
y
Show work in this space.



b) Using these points, draw a curve.
Show graph here.

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Question 73088: 3radicalx^2=4
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Question 73087: radicalx-1=3
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Question 73086: Is radicalx^2=x an identity (true for all values of x)?
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Question 73095: need help to solve this
√x-1=3

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Question 73084: For the equation x-radicalx=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space



b) Graph the functions y=x and y=radicalx on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:

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Question 73043: Is sqrt of x^2 an identity (true for all values of x?) explain your answer
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Question 73151: i need to simplify the radical expression(square root of 50) leaving my answer in exact form
Click here to see answer by jim_thompson5910(35256) About Me 

Question 73162: I need help in answering this question (sorry if it is hard to understand, I don't know how to get the square root sign on the computer) any help would be greatly appreciated
2 square root 3-5/square root 2+4 square root 6

Click here to see answer by diluzion(5) About Me 

Question 73433: I don't know how to write out the problem, but I'll try my best so you can understand it. The problem I have is -3 square root of 20 times square root of 15. The answer I came to was -30 square root of 3. Is this correct?
Click here to see answer by Cintchr(481) About Me 
Question 73433: I don't know how to write out the problem, but I'll try my best so you can understand it. The problem I have is -3 square root of 20 times square root of 15. The answer I came to was -30 square root of 3. Is this correct?
Click here to see answer by bucky(2189) About Me 

Question 73435: I need help. I tried to solve the following radical expression but think it;s wrong... 2 square root of 18 times 7 square root of 6. The answer I ended up with was 84 square root of 3. Is this right? Also, is there a shorter way to write square root in computer language? Thank you.
Click here to see answer by Cintchr(481) About Me 

Question 73436: How can I solve 2 square root of 7t times square root of 14t? I came out with 2 square root of 98t squared, then 2 square root of 49 times 2t squared followed by 2 times 7 square root of 2. My answer was 14t square root of 2. Is this correct? I don't know how to write out the problem, I hope this is okay.
Click here to see answer by bucky(2189) About Me 

Question 73456: Simplify by combining like terms.
the number x and the square root of 18, subtract 3 and the square root of 8x^2.
Please show your work

Click here to see answer by funmath(2933) About Me 

Question 73586: can you help me

81A^12-16B^8B^16

Click here to see answer by checkley75(3666) About Me 

Question 73641: solve the radical equation
[sq.rt.of(x-4)] + [sq.rt.of(x+4)] = 4
[sq.rt.of(x-4)] = 4 - [sq.rt.of(x+4)]
[sq.rt.of(x-4)]^2 = {4 - [sq.rt.of(x+4)]}^2
(x-4) = 16 - 8[sq.rt.of(x+4)] + (x+4)
x-4 - (x+4) - 16 = -8[sq.rt.of(x+4)]
-24 = -8[sq.rt.of(x+4)]
3 = [sq.rt.of(x+4)]
3^2 = [sq.rt.of(x+4)]^2
9 = x+4
x = 5
check by substituting X=5 in the given problem
[sq.rt.of(x-4)] + [sq.rt.of(x+4)] is it = 4
[sq.rt.of(5-4)] + [sq.rt.of(5+4)] is it = 4
[sq.rt.of(1)] + [sq.rt.of(9)] is it = 4
1+3 is it = 4
4=4; then the solution set is {5}

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Question 73637: what is the cube root of -64?
Click here to see answer by checkley75(3666) About Me 

Question 73647: (-1+i)^2
solve by Multiplying

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Question 73639: multiply and simplify
(sq.rt.of20x) * (sq.rt.of 5x)

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Question 73823: Can you help me. I have an exam tomarrow. I forgot how to simplify radical expressions. One of the problems I am having trouble with is:
3?(2a^(7)b^(2))
--------------------
(2) 3?(5x^(7)y)
(I do not know how to make cubed roots; the index is three.)
I know the answer is:
(y) 3?(150x)
--------------------
10x^(2)
please show me how
thank you so much!!

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

Question 73880: can someone show me the steps and explain them to me why they did that.
Someone solved it here but i don't undestand it because its all crammed up...
9.2 # 48
Use the properties for radicals to simplify each of the following expressions. Assume that
all variables represent positive real numbers.
radical (12x^3)/(5)

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

Question 73878: I need help I do not understand how to solve them ..Can someone show me step by step please....chapter 9 sect.9.4 # 28

Perform the indicated multiplication. Then simplify each radical expression.
Problem #28
radical (7) (2radical(3) + 3 radical (7) )

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

Question 73890: divide and simplify
[sq.rt. of (72x^2)] / [sq.rt of 2x]

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Question 73889: simplify
[100^(3/4)] / [100^(1/4)]

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Question 73889: simplify
[100^(3/4)] / [100^(1/4)]

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Question 73923: How do you solve this radical? This is a fraction. Radical twenty in the numerator over sixteen as the denominator.
Thank you.

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Question 73640: divide and simplify
[sq.rt.of(72x^3)] / [sq.rt.of2x]

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Question 73552: (-1+i)^2
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Question 74137: Find the length x in each triangle. Express your answer in simplified radical form.
Side 1: 10 Side 2: 8 Bottom: x
I need some help with this problem. Thanks

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Question 74312: Do anybody know how to relate radical exprerssions and their applications to everyday life?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 74439: How do you find the anwser to (2a) Squared= 24
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Question 74560: decide all values of b in the following equations that will give one or more real number solutions.
a) 3x^2 + bx - 3 = 0
b) 5x^2 + bx + 1 = 0
c) -3x^2 + bx - 3 = 0
d) Write a rule for judging if an equation has solutions by looking at it in standard form.

I do not understand how can find these solutions.
Please show work

Click here to see answer by josmiceli(19441) About Me 

Question 74607: how do i solve 1/3 the square root of 45 kind of like this 1/3(45
Click here to see answer by Earlsdon(6294) About Me 

Question 74896: Can anyone help me with this?
My problem is how to rationalize the denominator:
2/ sqrt[6] - sqrt[5]

Click here to see answer by ptaylor(2198) About Me 
Question 74896: Can anyone help me with this?
My problem is how to rationalize the denominator:
2/ sqrt[6] - sqrt[5]

Click here to see answer by bucky(2189) About Me 

Question 74897: I'm stuck on this one. I need to simplify but can not remember how to do so. Can someone help??
+sqrt%2881x%5E8y%5E12z%5E20%29+

Click here to see answer by tsuirakuakari(6) About Me 

Question 74895: Please help.
Multiply:
(sqrt[3] + 2sqrt[5])(6sqrt[3] - sqrt[5])

Click here to see answer by jim_thompson5910(35256) About Me 

Question 74931: can someone correct them for me thanks....ahead....
Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers.
Problem #2
radical(50)
My answer: 5radical(2)
Problem#24
radical (72x^3)
MY answer:
6xradical(2x)
Problem #36
Use Property 2 to simplify each of the following radical expressions.
radical ((10)/(49))
My answer:
(radical (10))/(7)

Click here to see answer by funmath(2933) About Me 

Question 74974: One more problem:
sqrt 9y^2 + sqrt 54y^2
thank you

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Question 74973: Please help me with this problem:
sqrt(x-3)^3.
Thank you

Click here to see answer by funmath(2933) 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