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

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Question 181911: Solve radical 3x + 3-9=0
Please help!

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

Question 181914: Find the distance between (-3, -2) and (1,4) in radical terms.
Please help!

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Question 181913: I can not figure this out!!
The base of a ladder is 15 feet away from the wall. The top of the ladder is 16 feet from the floor. Find the length of the ladder to the nearest thousandth.

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

Question 181916: The diagonal of a square measures 14 inches. What is the length of the sides in radical terms.
Please help!

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Question 181915: Please help!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded to the nearest tenth?

Click here to see answer by nerdybill(7384) About Me 

Question 181918: Simplify 3sqrt(y^11/64)
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Question 181926: simplify ^6(10^5-7^6)
I came up with 10^30-42

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Question 181924: simplify (5+^5)(5-^5)
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Question 181910: please help! Simplify radical 6 (10radical 5- 7 radical 6)
Click here to see answer by eperette(173) About Me 

Question 182059: I can not figure out the following equation:
(z+2)^ -2/3 = 3
solving for z.
(z+2) raised to the -2/3 power equals 3.

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

Question 182183: how do you figure out the answer for (the cubed root of 6 * the fourth root of 6)^12?
Click here to see answer by Alan3354(69443) About Me 

Question 182132: the problem is radical 3+2n + radical 2-2n =3, when i type radical it means the
3+2n and 2-2n are under the radical sign. i hope you can help me understand.

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

Question 182180: Find the real solutions of each equation.
31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x
33. (3x +1) to the power of 1/2 = 4
39. x to the power of 3/2 - 3x to the power of 1/2 = 0

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Question 182381: how would you solve for x. sqrt%284x-3%29+=+sqrt%28+x-1%29+ ??
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Question 182382: how would you rationalize the denominator of +radical+%5E3+radical+2%2F81+
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Question 182384: how would you multiply this +%284+radical+7%29%285+radical+7%29
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Question 182448: (1/2-i)^2
Click here to see answer by Mathtut(3670) About Me 

Question 182383: how would you simplify this equation +4x%5E2+%2B+80+=+0? thank you
Click here to see answer by edjones(8007) About Me 

Question 182586: 3,2i
Click here to see answer by Alan3354(69443) About Me 

Question 182751: how to solve radical expressions

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Question 182831: 3 over square root 7 - square root 2
simplify. The 3 on top confuses me.

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

Question 182791: Simplify the rational expression:
x^2 – 3x – 10
_____________
x^2 – x – 20

Click here to see answer by nerdybill(7384) About Me 

Question 182858: How do I simplify
(3sqrt3)^4

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

Question 182965: Solve and show steps:
x^2-3x-10
_________
x^2-x-20

Click here to see answer by nerdybill(7384) About Me 

Question 182966: Simply and show steps:
square root [144x^10y^12z^18]

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

Question 183016: how do i simplify
sqrt(6)/sqrt(7) * sqrt(14)/sqrt(3)

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

Question 183015: Simplify.
3 over square root 7 - square root 2

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

Question 183024: Perform the indicated operations and show steps:
[50]+2[32]-[8]
Hint: Where there is a [] it is also a square root signal as well! Sorry cannot demonstrate it!
thanks

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

Question 183026: Multiply and show steps:
(5[2]+2[3])([2]-2[3])
Hint: where there is a [] it is also a square root sign as well. I am limited to what I am demonstrate!
Thanks

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

Question 183076: Show steps:
[98]-[50]-[72]
Hint: Where the [] are it demonstrates a square sign.

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

Question 183088: Explain and Simply the rational expression:
9x-2
----
2-9x
a) 1
b) 9x-2
c) -1
d)0
e) 2x-9

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

Question 182181: Find the real solutions of each equation.
31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x
33. (3x +1) to the power of 1/2 = 4
39. x to the power of 3/2 - 3x to the power of 1/2 = 0

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

Question 182943: SOlve and explain:
9x-2
_____
2-9x
a) 1
b) 9x=2d
c) -1
d) 0
e) 2x-9

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

Question 182859: how do I simplify
sqrt(6)/sqrt(7)*sqrt(14)/sqrt(3)

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

Question 183153: need it asap
Click here to see answer by Mathtut(3670) About Me 

Question 183287: +sqrt%28+4-7x+%29+ = +sqrt%28+2x+%29+
Hi,
I have been squaring both sides to get rid of the radical signs: 4-7x = 2x. x = 4/9 is what I'm coming up with, but the answer key says x = 1/2. I'm missing something. Any help explaining this problem would be greatly appreciated.
Thanking you in advance,
Lynn Scott

Click here to see answer by jim_thompson5910(35256) About Me 
Question 183287: +sqrt%28+4-7x+%29+ = +sqrt%28+2x+%29+
Hi,
I have been squaring both sides to get rid of the radical signs: 4-7x = 2x. x = 4/9 is what I'm coming up with, but the answer key says x = 1/2. I'm missing something. Any help explaining this problem would be greatly appreciated.
Thanking you in advance,
Lynn Scott

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

Question 184189: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?

94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4

106. Find exact and approximate solutions to each problem.
One on one. Find two positive real numbers that differ by 1 and have a product of 1.

110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?

114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?


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

Question 184247: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4


110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?



Click here to see answer by Alan3354(69443) About Me 
Question 184247: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4


110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?



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

Question 184347: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?

110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?

114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?

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

Question 184640: Simplify the cube root of 192a^16b^12. Assume that all variables are positive.
Click here to see answer by stanbon(75887) About Me 

Question 184682: squareroot x + squareroot x-5 = 5

Solve equation & check for extraneous solutions

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Question 184686: w^-1/4=1/2
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Question 184687: ok i'm stuck
(a-1)^1/3=-3

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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