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

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Question 396715: I am having trouble with a problem I cannot seem to figure out the next step on it. The problem goes as follows:
Rationalize the denominator and simplify.
The nth root is 7 radical 8x^29/243x^8
I split the radical up betweent the top and bottom and then multiplied both sides by the bottom. I know those steps are correct, however, I do not know how to solve it from there.
nth root 7 radical 8x^29/nth root 7 radical 243x^8 times the top and bottom by the nth root 7 radical 243x^8.
Where do I go from here?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 397086: find the x-intercepts and y-intercepts
f(x) = -x^2 +4x +12
need x-intercepts and y-intercepts

Click here to see answer by robertb(5830) About Me 

Question 397091: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.1x^2-0.5x+6.47, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycles.
Click here to see answer by josmiceli(19441) About Me 

Question 397101: find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)= -(x+9)^2-4
the vertex is?

Click here to see answer by robertb(5830) About Me 

Question 396776: 4x^(8/3)-7x^(4/3)+3=0
Click here to see answer by jsmallt9(3758) About Me 

Question 397322: How could I find the general form of the equation of this circle: Center at the origin and containing the point (-2,3)
Click here to see answer by Earlsdon(6294) About Me 

Question 397677: I'm stuck could you please help me here.
Find f(2a) if f(x) =2-x^3 + 2x-5.
I'm reviewing for a test tomorrow.
thanks, Pete

Click here to see answer by Fombitz(32388) About Me 
Question 397677: I'm stuck could you please help me here.
Find f(2a) if f(x) =2-x^3 + 2x-5.
I'm reviewing for a test tomorrow.
thanks, Pete

Click here to see answer by richard1234(7193) About Me 

Question 398020: I took a pre-test but I have no answer sheet was just wondering if I've done these right or not! Thanks for your time, I appreciate it!
Simplify:
1: √9√4 My answer: 6
2: √56/√8 My answer: √7
3: √9ab^4 My answer: 3b^2√a
4: √50x^2 My answer: 5|x|√2
5: √100y^2z^4 My answer: 10yz^2
6: 2√5+2√5 My answer: 4√5
7: 6√7-√7 My answer: 5√7
8: -3√2+2√2 My answer: -√2
9: 2√7+3√7+√7 My answer: 6√7
Solve the equation:
10: √x=9 My answer: x=81
11: √z=-1 My answer: no solution
12: √2a=2 My answer: a=2
13: p=√2p-1 My answer: p=1

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

Question 398236: I need help with using the multiplication property of radicals to simplify the expression.
-4 square root 112

Click here to see answer by stanbon(75887) About Me 
Question 398236: I need help with using the multiplication property of radicals to simplify the expression.
-4 square root 112

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

Question 398237: How do you simplify the following radical √9a^2/49b^4?

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

Question 398384: Simplify each expression. (1-√x)^2
Click here to see answer by MathLover1(20849) About Me 

Question 398484: How would you simplify the radical: -2 times y to the 4th power times the square root of 25 times y to the 5th power?
Click here to see answer by stanbon(75887) About Me 

Question 398823: Please help, I am soooo lost with 2 problems:
1: Cube Root of 270x divided by cube root of 10xy^2
2: Cube root of x^2 divided by cube root of 4
Thank you so much!

Click here to see answer by josmiceli(19441) About Me 
Question 398823: Please help, I am soooo lost with 2 problems:
1: Cube Root of 270x divided by cube root of 10xy^2
2: Cube root of x^2 divided by cube root of 4
Thank you so much!

Click here to see answer by jsmallt9(3758) About Me 

Question 398810: simplify and rationalize the denominator 7radical 8x^29/243x^8

Click here to see answer by jsmallt9(3758) About Me 

Question 398753: The radical of sqaure root 270
Click here to see answer by jsmallt9(3758) About Me 

Question 398498: find the following 18 as the index square root of (-8)^18
Click here to see answer by jsmallt9(3758) About Me 

Question 398497: simplify by factoring the square root of 75a^2b

Click here to see answer by jsmallt9(3758) About Me 

Question 398434: Simplify (√3/√6-1)-(√3/√6+1)
Click here to see answer by jsmallt9(3758) About Me 

Question 398904: Golden painting. An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
Click here to see answer by MathLover1(20849) About Me 

Question 399134: is there more then one way to solve a negative under a radical? if so can you show me the different ways i somewhat understand the consept of the i but i don't know how to bring it back into the equation like the square root of -32 i know you can breake it down and bring out the i but what next thnk you for your time sorry if im confusing
EX. (this is where im stuck)
sqrt%28-1%29+%2A+sqrt%28-32%29
%28i%29sqrt%2832%29
then i can break 32 down by:
sqrt%2816%29+%2A+sqrt%282%29
since 16 is the perfect square of 4 you bring 4 out of the radical
4+%2A+sqrt%282%29
i think thats right but i dont know where the i gose or if you can get rid of it entirely??
P.S. i hope that makes sence
if there is another way please show me thanks again

Click here to see answer by MathLover1(20849) About Me 
Question 399134: is there more then one way to solve a negative under a radical? if so can you show me the different ways i somewhat understand the consept of the i but i don't know how to bring it back into the equation like the square root of -32 i know you can breake it down and bring out the i but what next thnk you for your time sorry if im confusing
EX. (this is where im stuck)
sqrt%28-1%29+%2A+sqrt%28-32%29
%28i%29sqrt%2832%29
then i can break 32 down by:
sqrt%2816%29+%2A+sqrt%282%29
since 16 is the perfect square of 4 you bring 4 out of the radical
4+%2A+sqrt%282%29
i think thats right but i dont know where the i gose or if you can get rid of it entirely??
P.S. i hope that makes sence
if there is another way please show me thanks again

Click here to see answer by solver91311(24713) About Me 
Question 399134: is there more then one way to solve a negative under a radical? if so can you show me the different ways i somewhat understand the consept of the i but i don't know how to bring it back into the equation like the square root of -32 i know you can breake it down and bring out the i but what next thnk you for your time sorry if im confusing
EX. (this is where im stuck)
sqrt%28-1%29+%2A+sqrt%28-32%29
%28i%29sqrt%2832%29
then i can break 32 down by:
sqrt%2816%29+%2A+sqrt%282%29
since 16 is the perfect square of 4 you bring 4 out of the radical
4+%2A+sqrt%282%29
i think thats right but i dont know where the i gose or if you can get rid of it entirely??
P.S. i hope that makes sence
if there is another way please show me thanks again

Click here to see answer by richard1234(7193) About Me 

Question 399362: Can someone please show me how to do these two problems?
5 sqrt32 - 7 sqrt8
and
2 sqrt15xy^3 multiplied by 3 sqrt30x^3y^2
Thanks!!

Click here to see answer by Fombitz(32388) About Me 
Question 399362: Can someone please show me how to do these two problems?
5 sqrt32 - 7 sqrt8
and
2 sqrt15xy^3 multiplied by 3 sqrt30x^3y^2
Thanks!!

Click here to see answer by ewatrrr(24785) About Me 

Question 399361: Help please, again :)
1: sqrt48a^5b divided by sqrt12ab
2: sqrt5(2sqrt45 - sqrt5)
3: 7 divided by 1- sqrt3)
Can you show me the steps to do these, I'm just not getting it.
Thank you

Click here to see answer by ewatrrr(24785) About Me 

Question 399360: Can anybody show me how to solve these problems:
1: Fifth root of -32s^15t^10
2: Fourth root of 256y^8
3: (2-sqrt5)*(2+sqrt5)
I am so confused :(
Thank you

Click here to see answer by ewatrrr(24785) About Me 
Question 399360: Can anybody show me how to solve these problems:
1: Fifth root of -32s^15t^10
2: Fourth root of 256y^8
3: (2-sqrt5)*(2+sqrt5)
I am so confused :(
Thank you

Click here to see answer by josmiceli(19441) About Me 
Question 399360: Can anybody show me how to solve these problems:
1: Fifth root of -32s^15t^10
2: Fourth root of 256y^8
3: (2-sqrt5)*(2+sqrt5)
I am so confused :(
Thank you

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

Question 399496: solve
b^2-7b-18=0

Click here to see answer by solver91311(24713) About Me 

Question 399498: sqrt (a+2)^2
Click here to see answer by jsmallt9(3758) About Me 

Question 399500: multiply
(w+1/3)(w+1/4)
(w+ one over 3) (w+ one over four)

Click here to see answer by edjones(8007) About Me 

Question 399494: 11y-77/15 divided by y-7/55y
that is 11y-77 over 15 divided by y-7 over 55y

Click here to see answer by ewatrrr(24785) About Me 

Question 399509: use the FOIL method to find the product
(2x^3-7)(x^6-2)

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

Question 399680: simplifying radicals without a calculator
8
12
50

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

Question 399773: 3x2=27
Click here to see answer by Alan3354(69443) About Me 

Question 399778: The formula y=0.4x2-36x+1000 models the number of accidents, y, per 100 millions miles driven, for drivers x years old, where 20 < x< 50.Find the coordinates of the graph’s vertex and describe what this represent in practical terms.
· A company uses the function C(x)=0.01x2-1.2x+1000 to model the unit cost in dollars for producing x motors. Answer the following question; 1: For what number of motors is the unit cost at its minimum? 2: What happens if you produce 1 motor more or 1 motor less what the number of motors found in the first part of the problem. Discuss the effect of this change with your learning team.


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

Question 399740: I need to find out what is the root square of 1628 in simplest radical form. Mind giving me a hand?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 399834: How do I solve x^2-15x+56.25=8 by using the square root property?
This is what I did: (x^2-15x+56.25=8)/.25
4x^2-60x+225=32
(2x-30)(2x-30)
Now I'm stuck and I don't even think I did it right.

Click here to see answer by rfer(16322) About Me 
Question 399834: How do I solve x^2-15x+56.25=8 by using the square root property?
This is what I did: (x^2-15x+56.25=8)/.25
4x^2-60x+225=32
(2x-30)(2x-30)
Now I'm stuck and I don't even think I did it right.

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 399998: multiply and simplify this:
m squared - 9/9m times 7m/(m+3) The answer I got is 7m(m-3)/9m
I don't think this is simplified enough. Need steps. I am a homeschool mom and I don't have the answer to this problem to explain to my Algebra II child. Also don't know how to make exponents on the computer!
Angie

Click here to see answer by jsmallt9(3758) About Me 

Question 400295: 2x^2-5=-55
2x^2-50=0
2(x^2-25)=0
2(x-5)=0 2(x+5)=0
x=5 x=5
I checked my work for both x's and it does not come out right for both I come up with 45=55. I am not wure what I am doing wrong here. What is the answer to x? Please show all work and how to check the answer.

Click here to see answer by scott8148(6628) About Me 

Question 400684: What would this be...?
sqrt5(2sqrt45 - sqrt5)
Please help, Thanks.

Click here to see answer by Alan3354(69443) 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