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

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Question 1032494: The expression sqrt(729g^5y^3)^3 sqrt(729g^5y^3)
where r, the exponent of g, is:
And s, the exponent of y, is:
And k, the leading coefficient:
The exponent raised to the 3 on the first square root is supposed is supposed to be a cube(third) root.

Click here to see answer by LinnW(1048) About Me 

Question 1033004: Solve for t:
3 divided by t+3 minus 1 divided by t equals 5 divided by 2t plus 6
or
3/t+3-1/t=5/2t+6

Click here to see answer by Alan3354(69443) About Me 
Question 1033004: Solve for t:
3 divided by t+3 minus 1 divided by t equals 5 divided by 2t plus 6
or
3/t+3-1/t=5/2t+6

Click here to see answer by JoelSchwartz(130) About Me 

Question 1033443: Rationalize the denominator. Simplify, if possible.

35%28sqrt%28+x%5E2y%5E5+%29%29%2F%28sqrt%2828x%5E4y%29%29+
I know that the answer is 5y%5E2%28sqrt%287%29%29%2F2x, but I'm looking for an in depth explanation on how to get it.

Click here to see answer by Boreal(15235) About Me 

Question 1033562: 10+20radical6 (I have no radical symbol) / ( divided by) radical 6 -2

Rationalize the demonstrator and simplify the expression. What is the value of b if the answer is expressed in the format a + b radical 6?
I think I am messinibg up the equation somehow. The answers I have are not plugging back in. 2, 5, 10 and 15.
I am confused about the solution.
Thanks.

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

Question 1033635: The square root of 6 divded by two

Click here to see answer by addingup(3677) About Me 
Question 1033635: The square root of 6 divded by two

Click here to see answer by fractalier(6550) About Me 

Question 1033756: What is the sum of the solutions to the equation 1=1/x - 8/x(x+3)
Click here to see answer by ikleyn(52776) About Me 

Question 1034254: Simplify (-) Square root of 54
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1034313: Please help me find a third-degree polynomial equation with rational coefficients that has roots -4 and 2+i.
Click here to see answer by stanbon(75887) About Me 

Question 1035412: Chose values for x and y. Then find (√x + √y)2.
Click here to see answer by solver91311(24713) About Me 

Question 1035510: Jim and Mateo live across a lake from each other at a distance of about 3 miles. Jim can row his boat to Mateo's house in 1 hour and 20 minutes. Mateo can drive his motorboat the same distance in 30 minutes.
If they leave their house at the same time and head toward each other, how long will it be before they meet?
How far from the nearest shore will they be when they meet?

Click here to see answer by ikleyn(52776) About Me 

Question 1035552: 7√(ab)63 Use rational exponents to simplify
I don't get how to get the answer

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

Question 1035667: Please help me solve this: sqrt(3y/11x)
Click here to see answer by Alan3354(69443) About Me 

Question 1035672: Radical 5y plus 7 equals radical 2y plus 13 is what?
Click here to see answer by Alan3354(69443) About Me 

Question 1035670: Please help me rationalize and simplify this: sqrt(3y/11x)
Click here to see answer by Alan3354(69443) About Me 

Question 1035705: 6sqrt3 - 2sqrt3 simplify
Click here to see answer by robertb(5830) About Me 

Question 1035706: sqrt5 (6sqrt2 - sqrt5) simplify
Click here to see answer by robertb(5830) About Me 

Question 1036229: find the degree measure of an angle of 7 3.15 square over 10
Click here to see answer by Alan3354(69443) About Me 

Question 1036289: the square of a number is 1 more then twice the number. what is the number?
Click here to see answer by Aldorozos(172) About Me 
Question 1036289: the square of a number is 1 more then twice the number. what is the number?
Click here to see answer by MathTherapy(10551) About Me 
Question 1036289: the square of a number is 1 more then twice the number. what is the number?
Click here to see answer by ikleyn(52776) About Me 

Question 1036509: square root of 128x^3 over the square root of 2xy. thank you!!! im not really sure what im doing, i was absent in class.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1036509: square root of 128x^3 over the square root of 2xy. thank you!!! im not really sure what im doing, i was absent in class.
Click here to see answer by MathTherapy(10551) About Me 

Question 1036684: Simplify.
24sqrt%2810%29%2Fsqrt%28120%29

Click here to see answer by josgarithmetic(39616) About Me 
Question 1036684: Simplify.
24sqrt%2810%29%2Fsqrt%28120%29

Click here to see answer by ikleyn(52776) About Me 
Question 1036684: Simplify.
24sqrt%2810%29%2Fsqrt%28120%29

Click here to see answer by MathTherapy(10551) About Me 

Question 1037239: What is 3=
Click here to see answer by Alan3354(69443) About Me 

Question 1037462: Simplify: 3 sqrt 75 ÷ sqrt 27

Here's how I tried to solve it:
3 sqrt 75 ÷ sqrt 27
3 sqrt 25*3 ÷ sqrt 9*3
3*5 sqrt 3 ÷ 3 sqrt 3
15 sqrt 3 ÷ 3 sqrt 3 I then cancel out the 3 radicals to get:
15/3
15/3= 5 (the answer I thought was correct)
I check the answer key,

the correct answer is 25/3.
I'm having trouble figuring out how that could be the answer. I feel like I probably went wrong when I cancelled the radicals.

Click here to see answer by Fombitz(32388) About Me 

Question 1037521: Rationalize the denominator:
2y/cube root of 16x^5 y^2
Thank you

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1037521: Rationalize the denominator:
2y/cube root of 16x^5 y^2
Thank you

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

Question 1037598: Simplify:
sqrt45sqrt2000
I can solve up to:
sqrt45 => sqrt9*5 => 3sqrt5
When I get up to sqrt2000,
I'm having trouble in deciding what numbers to use to break it down.

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

Question 1037618: Solve for x
sqrt( 2x-3)=sqrt(x)+5

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

Question 1037679: Write a sum of three radicals that contains two like terms. How would you
combine these terms?
:)

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

Question 1037672: Write a sum of three radicals that contains two like terms. How would you
combine these terms?
Appreciate it.

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

Question 1037816: Need help converting this to radical form.
Equation: http://postimg.org/image/gdnuysjnf/

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

Question 1037794: Need help converting this to radical form.
Equation: http://postimg.org/image/gdnuysjnf/

Click here to see answer by josgarithmetic(39616) About Me 

Question 1038201: Manny wants to sew a ribbon border around a small triangular cushion with sides of square root 45cm, 6 square root 5cm and square root 125cm.
A) determine the exact length of ribbon Manny needs.
B) determine the!approximate length Manny needs to one decimal point

Click here to see answer by mananth(16946) About Me 
Question 1038201: Manny wants to sew a ribbon border around a small triangular cushion with sides of square root 45cm, 6 square root 5cm and square root 125cm.
A) determine the exact length of ribbon Manny needs.
B) determine the!approximate length Manny needs to one decimal point

Click here to see answer by MathTherapy(10551) About Me 

Question 1038459: In 1997, there were 43.2 million people who used free weights. Assuming the use of free weights increases 6% annually, which equation can be used to predict the number of people using free weights t years from 1997?
p = 43.2(0.06)^t
p = 43.2(1.06)^t
p = 43.2(0.94)^t
p = 43.2(1.005)^t

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

Question 1038457: Determine the amount of an investment if $1000 is invested at an interest rate of 7.3% compounded quarterly for 30 years.
$8,760.53
$8,876.13
$8,279.26
$3,190

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

Question 1038455: Lorena is investing a $5000 inheritance from her aunt in a certificate of deposit that matures in 4 years. The interest rate is 6.25% compounded quarterly. What is the balance of the account after 4 years?
$5,078.13
$5,319.90
$5,321.82
$6,407.73

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

Question 1038456: In 1994, the sales of music cassettes reached its peak at $2,976,400,000. Since then, cassette sales have been declining. If the annual percent of decrease in sales is 18.6%, predict the sales of cassettes in the year 2009.
$135,849,288
$328,386,624
$8,304,156,000
$38,455,780,593

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

Question 1038529: A penny is 1.55 mm thick.Imagine that you stack pennies on top of each other every day. Each day, you double the amount of pennies in the stack. This means that on day 0, there is 1 penny. On day 1, there are 2 pennies. On day 2, there are 4 pennies, etc.if this pattern continues, in how many days will the stack of pennies be about 1 meter tall?
Click here to see answer by jorel555(1290) About Me 

Question 1038528: A penny is 1.55 mm thick.
 Imagine that you stack pennies on top of each other every day. Each day, you double the  amount of pennies in the stack. This means that on day 0, there is 1 penny. On day 1, there  are 2 pennies. On day 2, there are 4 pennies, etc. What exponential function is being modeled  here?

Click here to see answer by jorel555(1290) 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