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

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Question 134559: Solve the equation w=Cr-2 for r where C is a constant and r is the distance that the object is from the center of the earth.
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Question 134661: sqrt6(4sqrt6-3sqrt2)Please help!
Click here to see answer by stanbon(75887) About Me 

Question 134654: How would you express this radical in simplified form?
the square root of 4/25x^3

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Question 134653: Please tell me how you would express this radical in simplified form:
the square root of 72x^2

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Question 134652: Please help me simplify this expression:
the square root of x^2

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

Question 134716: I am having so much trouble with this question. I will show you the original question and then will show what I have. Please complete the problem for me from start to finish so that I am no longer as confused as I am now. This is what I have:
(3x)^-1/3=
3^-1/3 * x^-1/3=
1/3^1/3 * 1/x^-1/3=
3^1/3= 3cubert3=
1/3cubert3x
I am not allowed to leave radicals in the denominator, I am completely confused, can you please solve the original? The original problem again is (3x)^-1/3

Click here to see answer by stanbon(75887) About Me 
Question 134716: I am having so much trouble with this question. I will show you the original question and then will show what I have. Please complete the problem for me from start to finish so that I am no longer as confused as I am now. This is what I have:
(3x)^-1/3=
3^-1/3 * x^-1/3=
1/3^1/3 * 1/x^-1/3=
3^1/3= 3cubert3=
1/3cubert3x
I am not allowed to leave radicals in the denominator, I am completely confused, can you please solve the original? The original problem again is (3x)^-1/3

Click here to see answer by vleith(2983) About Me 

Question 134586: (square root 2 + 5)^2
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Question 134578:
2 radical 63 - 6 radical 28 + 8 radical 45

Click here to see answer by checkley77(12844) About Me 

Question 134864: simplify: 3 radical x^4y^5 times radical xy
Click here to see answer by nycsharkman(136) About Me 

Question 134863: add and simplify:

radical x^5y^2 + radical 36xy^4

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Question 134903: 1. Find the distance between M(2, -1) and N(-4, 3) to the nearest tenth.
2. Find the distance between P(-2.5, 3.5) and R(-7.5, 8.5) to the nearest tenth.


Click here to see answer by nycsharkman(136) About Me 
Question 134903: 1. Find the distance between M(2, -1) and N(-4, 3) to the nearest tenth.
2. Find the distance between P(-2.5, 3.5) and R(-7.5, 8.5) to the nearest tenth.


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

Question 134862: multiply and simplify:
(
4 - 3 radical 2) (5 + 2 radical 2)

Click here to see answer by checkley77(12844) About Me 

Question 135223: Mutiply and simplify:
(4-3 square root 2) (5+2 square root 2)

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

Question 135225: One leg of an isosceles right triangle measures 12 feet. Find the exact length of the hypotenuse.
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Question 135224: Rationalize the denominator:
8 - radical 2 divided by 6 - 3 square root 2

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Question 135290: This is the question I'm having problems with...
Suppose P dollars in principal is invested in an account that earns interest annually. If after t years the investment grows to A dollars, then the annual rate of return, r, on the investment is given by
r = A/P^1/t -1
Find the annual rate of return on $7,000 which grew to $12,200 after 5 years.
Round your answer to one decimal place.
I filled in the equation with:
r= 12200/7000^1/5 -1
I cancelled out the zeros to get r=122/70^1/5 -1
I'm unsure where to go from here. Thanks.

Click here to see answer by vleith(2983) About Me 

Question 135302: Please show me how to solve this equation. w= Cr-2 for r. C is the constant and r is the distance that the object is from the center of the earth. 100 pounds when at sea level 3,963 miles from the center of the earth. this is not from a textbook it was an appendix assignment from intermidiate algebra class 117.
Click here to see answer by vleith(2983) About Me 

Question 135222: simplify:

3 square root b^2 divided by 4 square root b^3

Click here to see answer by checkley77(12844) About Me 

Question 135402: multiply (6+2i)^2
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Question 135401: multiply:
square root -144 times square root -49
a.84i
b.-84
c.84
d.-84i

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Question 135400: express in terms of i and simplify: square root -243
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Question 135398: Find one of the solution of x= square root 3x-12 + 4
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 135422: Tutor: How do Isubtract and simplify 5 square root of 20 minus 2 square root of 125?
Click here to see answer by nycsharkman(136) About Me 
Question 135422: Tutor: How do Isubtract and simplify 5 square root of 20 minus 2 square root of 125?
Click here to see answer by Earlsdon(6294) About Me 

Question 135421: Tutor: How do I rationalize the denominator for 6 divided by 2 plus the square root of 3?
Click here to see answer by Earlsdon(6294) About Me 

Question 135420: Tutor Could you help me please convert this problem to radical notation..Thank you!
7 square root 18^3

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

Question 135419: Tutor Could you help me please convert this problem to radical notation..Thank you!
y1/4

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

Question 135469: subtract : (9-6i) - (-7i-5)
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Question 135469: subtract : (9-6i) - (-7i-5)
Click here to see answer by stanbon(75887) About Me 

Question 135468: simplify:

3 square root b^2 divided by 4 square root b^3

a. 1 over 12 square root b
b. 12 square root b^5
c. 7 square root b^5
d. 12 square root b

Click here to see answer by checkley77(12844) About Me 

Question 135574: I got this far and got confused could you help me with this please..thank you
4.2*10^6/7*10^8
(4.2*10^(-6)=0000.042
(7*10^8)is 70,000,000
(4.2*10^(-6)/0.7*10^8
(4.2)*/(0.7)*10^-6+8
0.6=10^

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

Question 135563: How would you perform the indicated operation?
8 over the square root of 80-3 over the square root of 45

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Question 135560: Please help me solve this equation:
the square root of 7a+1=a+1

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Question 135559: Please help me solve this equation:
the square root of 8x+9=5

Click here to see answer by tomc(2) About Me 

Question 135611: I'm having a little trouble with this question. I can't find anything in our book that looks anything like it. The instructions are: "solve each equation, inequality or system of equations"
square root x-1=x-1
I tried this
x-1=(x-1)^2 Remove the square root form the left side and square the right.
-x^2+x-1+1^2=0 Set the equation to zero and cancell -1 and +1^2
x^2-x=0
There doesn't seem to be a solution.
Am I even approaching this correctly?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 135615: multiply
(6+2i)^2

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Question 135614: simplify:
i^51

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Question 135613: divide:
4-2i over 3+5i

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Question 135628: The fifth root of 32x^5 divided by y^15
Click here to see answer by checkley77(12844) About Me 

Question 135695: Please help me solve this equation:
(3-squareroot5)^2

Click here to see answer by vleith(2983) About Me 

Question 135697: Please help me solve this equation:
squareroot2x-3 -3=0

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Question 135702: Simplify the expression:


2 Square root of 10/2

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Question 135706: Please help me with this problem:
2squareroot8-3squareroot50

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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