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

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Question 82583: If P is power (in watts) and R is resistance (in ohms), then the voltage V necessary to run the circuit is V=√PR
Find the voltage necessary to run a 40-watt amplifier with a resistance of 150 ohms.
Okay I set the problem up and did the work. Did I get it right?
V=√40*150
V=√77.45966
V=38.72983

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

Question 82599: Square root(3)/(square root 3 + square root 2) how do I symplify to lowest terms?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 82604: solve for real roots: sqrt(2x^2+x-12)=x
this is not a text book, just on paper, I do not understand it

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Question 82539: Please help me solve the following question...I'm so confused!
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.
thank you for your help.

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Question 82671: how you solve this radical problem
radical 7/12

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Question 82646: Simplify
8 divided by the square root of 2 index 4

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Question 82647: Write square root of x to the 5th 6 index in exponential form
Click here to see answer by jim_thompson5910(35256) About Me 

Question 82725: This problem is not from a textbook.
I apologize for writing this all out in words. I don't know how to get the radical sign to appear here. ( I will try to also put this in symbol form by using a capital 'V' to stand for the radical)
3 times the square root of 5/12 plus the square root of 12/5 - 1/3 times the square root of 60.
3 V5/12 + V12/5 - 1/3 V60

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

Question 82696: Find the length x. Express your answer in simplified radical form.
The known dimensions are 20 cm and 15 cm. This is a 3-D shape.
Thank you.

Click here to see answer by rapaljer(4671) About Me 

Question 82751: I am not sure if I am doing everything I need to do in this equation.
Here it is:
Simplify. Write your answer in radical form. Assume that x is a positive real number.
The square root of 3/2x(three over 2x) multiplied by the square root of 8x^3/6 (eight x cubed over 6).

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Question 82931: WHAT IS THE SQUARE ROOT OF 25

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Question 82864: 12x-7 times the square root of x + 1=0
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Question 83018: I am having a hard time with radical fractions, can you help me to find out how to add radical fractions step-by-step. My math book shows some of the steps and the answer but leaves some parts out, it does not make sense, please help me!
Click here to see answer by funmath(2933) About Me 

Question 83153: Can you help me answer this question?
radical sign and the radicand under it is x to the 3rd power = 8.
I don't know how to answer it, but I think the answer is x = 4, but I don't know how I came to that conclusion.

Click here to see answer by Earlsdon(6294) About Me 
Question 83153: Can you help me answer this question?
radical sign and the radicand under it is x to the 3rd power = 8.
I don't know how to answer it, but I think the answer is x = 4, but I don't know how I came to that conclusion.

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

Question 83152: Radical sign and the radicand under it is x - 1 = 3
This is what I got. Let me know, if it is correct.
radical sign and the radicand under it is x - 1 = 3
+ 1 +1
x = 4
radical sign and the radicand under it is x squared = (4) squared
answer = x = 16



Click here to see answer by Earlsdon(6294) About Me 

Question 83160: I’m going crazy trying to figure this one out.

3 is the index with a radical sign and the radicand under it is x squared = 4

Can someone help me?

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

Question 83175: I’m going crazy trying to figure this one out.

3 is the index with a radical sign and the radicand under it is x squared = 4

Can someone help me?

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

Question 83182: Here is a problem I can’t figure out.

Radical sign with the radicand of x squared under it and the remainder is = x an identity (true for all values of x)?


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Question 83250: multiply (square root 7 -2)to the 2nd power
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Question 83300: am so behind in my math homework. I need help.

The volume of a cylinder (think about the volume of a can) is given by V = pie symbol r squared h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.

Write h as a function of r. Keep pie sign in the function’s equation.

What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answers to the nearest whole number.

Graph this function.

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Question 83313: What would be the solution be to (13^1/20)^1/2
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Question 83391: radical 3 divided by radical 12
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Question 83391: radical 3 divided by radical 12
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Question 83381: Hello. Can someone tell me if I am correct? in words it is 2x minus the square root of seven divided by 2x plus the square root of seven. I got -------- -1 is this correct? 2x-sq7 divided by 2x +sq7 Thanks
Click here to see answer by Edwin McCravy(20055) About Me 

Question 83491: It asks to simplify each of the following. Assume that all denominators are nonzero. But we didn't go over this is class and it's due tues... thank you
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Question 83488: I'm confused on how you solve the following question:
63x^15y^9 (all of that over the following) 7xy^11
that whole equation inside the square root symbol

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Question 83606: please simplify this radical expression. -3sqrt180h^4
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Question 83606: please simplify this radical expression. -3sqrt180h^4
Click here to see answer by uma(370) About Me 

Question 83781: 2x squared + 12x +18
is inside the square root sign
can you please help me

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Question 83783: what is the radical expression in it's simplest form for the square root of 108
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Question 83632: Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the plane is 30 degrees. What is the plane's altitude?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 83785: Please help me solve. Subtract. Express your answer in the simplest form.
5x-3 over 6 - x+3 over 6

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Question 83902: how do you simplify the square root of 5 plus 1 all over the square root of 3 minus 2?
Click here to see answer by Nate(3500) About Me 

Question 83934: I would appreciate some input on this. My solutions are way off.
The function f(x) = 29x^1/3
models the number of plant species, f(x), on the islands of the Galapagos in terms of the area, x, in square miles, of a particular island.
What is the area of a Galapagos island that has 87 species of plants?
What is the area of a Galapagos island that has 58 species of plants?

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Question 83979: Please help! I can't figure this one out. Thanks
Simplify. Assume all variables represents positive numbers.
square root x^4y^3

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Question 83988: THE SQUARE ROOT OF 6 X THE SQUARE ROOT OF 6
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Question 84046: rationalize the denominator for the expression square root 5 + square root of 55 all over the square root of 5
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Question 84041: what is 7 plus or minus the square root of 24 over 2?

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Question 83776: 5 radical of 3 times 2 radical of 3???
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Question 84162: Solve t2- 2t + 1 = 49 by takin the square root of each side.
Click here to see answer by Earlsdon(6294) About Me 

Question 84138: while the radical symbol is widely used, converting to rational exponents has its 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 84238: Solve the equation. Check for extraneous solutions.
Square root of (x+6)=x
A. no solution C. 3,-2
B -2 D. 3

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Question 84297: do you the answer to the problem ? And Can You Show the Work
x-1 x
---+-----
2x x+3

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Question 84334: Square root of x+56=x
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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