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

Tutors Answer Your Questions about Radicals (FREE)

Question 276829: 8 to the -3/2 power
Click here to see answer by jsmallt9(3296)

Question 276411: Why is it important to simplify radical expressions before adding or subtracting?
Click here to see answer by jsmallt9(3296)

Question 277173: Here is an application problem from a chapter on adding, subtracting and multiplying radicals. Can you help?
Find the exact volume of a cube with the sides of length √3 meters.
thanks.
Click here to see answer by stanbon(57387)

Question 276413: 32x^6y^9/z^8
all under a third root sign
Click here to see answer by jsmallt9(3296)

Question 276148: multiply: 12x^4/18x^3*-8x^5/4x^2
Click here to see answer by jsmallt9(3296)

Question 276748: Please help me to evaluate this problem
(x^(1/6)x^(-3/4))^-2 x^(3/2)
^=raised to
Click here to see answer by jsmallt9(3296)

Question 277174: Here is an application problem from a chapter on radicals.
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?
Thanks.
Click here to see answer by jsmallt9(3296)

Question 277443: What is (2+ squareroot of 5) times (3- squareroot of 5)?
Click here to see answer by jsmallt9(3296)

Question 277631: Please help me solve this problem: 5 radical 2 (3 radical 12 minus 4 radical 2)
Click here to see answer by edjones(7569)

Question 277790: Use rational exponents to simplify, write in radical notation,
10√(a^6 )
Click here to see answer by stanbon(57387)

Question 277791: Rewrite with rational exponents
〖(√(5mn))〗^3
Click here to see answer by checkley77(12569)

Question 277763: using the equation P = 1000 sqrt(t) +2750 how many years it would take to reach 7000 given t=0
Click here to see answer by checkley77(12569)

Question 277927: Please help me simply these expressions. Thanks!!
6a)^1/2 radical sign ab / a^2b^3/2

radical sign 49 - radical sign 16

(radical sign 5 + radical sign 2)(radical sign 5 - radical sign 2)
Click here to see answer by edjones(7569)

Question 278000: Hello, I sent in this question yesterday and I did not get a response, please someone help me with this one, I would be forever greatful, thank you.
Find the following,assume that letters can represent any real number
∛(y^3 )
Click here to see answer by stanbon(57387)

Question 278016: Please help me solve these first degree equations. Thank you!
3(k – 2)-6 = 4k -(3k-1)

Click here to see answer by richwmiller(9143)

Question 278120: I need so simplify this radical and don't have the key on my computer
(xy)(6 radical sign x^5y
Click here to see answer by checkley77(12569)

Question 278118: I need to simplify this radical I don't have the key on my computer
4a^9b^7C^8
would I do something like this a=4/2 b=7/2 c= 8/2 ?
Click here to see answer by checkley77(12569)

Question 278420: A radicand with x-3 under it +(plus) a radicand with only x under it = (equal) 3
Click here to see answer by richwmiller(9143)

Question 279082: please help me to solve these roots
Click here to see answer by oberobic(2304)

Question 279485: how do you simplify the radicals of the square root of 2/3 times the square root of 18/8?
please help!!
Click here to see answer by rfer(12670)

Question 279547: the question is , "if one side of a square is 5(radical)3. what is the area of the square?"
Click here to see answer by Inkyvoyd(17)

Question 279658: (-7+√69)/2,(-7-√69)/2
These are my exact solutions, need to find approximate solution to the 3 decimals, the answers are 0.653 and -7.653, but I do not know how they come up with these decimal answers, every way I try I get something different, could you show me step by step how they come up with these decimal numbers,
Thankyou
Click here to see answer by vleith(2825)

Question 79189: Can anyone help me to simplify by combining like terms:
sqrt63 - 2sqrt28 + 5sqrt7
I appreciate any help with this radical expression.
sean32485
Click here to see answer by pandion(6)

Question 279660: A canoeist travels 60 miles at a certain speed. The canoeist travels 18 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 3 hours, What was the speed on each part of the trip.
I tried this and just cant get it, would love to see your step by step solution.
Thankyou
Click here to see answer by scott8148(6628)

Question 279732: how do I divide the square root of x-2 by the square root of x-7
Click here to see answer by stanbon(57387)

Question 279550: i need to simplify 2/(radical)3
Click here to see answer by jsmallt9(3296)

Question 279912: solve for the square root of x+31=x+1

Click here to see answer by mananth(12270)

Question 280258: Suppose that an object is 135 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)
Click here to see answer by Alan3354(30993)

Question 280367: Simplify. 5^(sqrt)-1/3125
Click here to see answer by Alan3354(30993)

Question 280362: Good afternoon guys.
Here is my question:
Simplify:
_____
\ /
14\ /96
I know there are appx. 3 methods to find the answer.
Method 1: I try to find the nth root yet 14 is not divisible into 96.
Method 2: if I treat this equation as a cube root I get nothing as well.
If I work backwards and treat this as an already simplified expression I get 129,024 which is not a possible answer.
________
56 \ / 6
\/
________
20 \ / 6
\/

_________
28 \ / 24
\/
_________
30 \ / 6
\/
Those are the possible answers.
Any help is welcome. Thank you.
Click here to see answer by Alan3354(30993)

Question 280405: Good afternnon guys. Here's my question again.
Simplify 14 sqrt96
I am familiar with three methods for solving a radical expression yet none work with this equation. I've tried to work backward from the possible answers yet have had no luck.
The four choices are:
56 sqrt6
20 sqrt6
28 sqrt24
30 sqrt6
Any help is welcome. Thank you:)
Click here to see answer by dabanfield(803)

Question 280533: How do I get the 3rd order radical from -(64)
Click here to see answer by Alan3354(30993)

Question 280543: Good morning guys.
My question:
Simplfy sqrt (a^5b^6)
Since I was confused I simplified them while separate.
a^5 becomes a^2 And. b^6 becomes | b^3 |
And so I combine those two and get for an answer
a^2 | b^3 | sqrt A
It is one out of four other options which are
a^2b^3
| a^2b^3 | sqrt A
| a^2 | b^3 sqrt a^2b^4
Any help is greatly appreciated.
Thank you!
Click here to see answer by Alan3354(30993)

Question 280622: Really need help on this question
use the equation y=30/x,where y equals the amount of time to complete a job and x represents the number of people working. how many people does it take to complete the job in 5hours?
Click here to see answer by richwmiller(9143)

Question 280698: multiply and simplify by factoring ∜16*∜32
Click here to see answer by Alan3354(30993)

Question 281559: How do i add radicals with the same radicand but different indexes?
Click here to see answer by Mathematicians(84)

Question 280752: simplify sqrt 4/3 + sqrt 6/sqrt 2 - 4 sqrt 2/ sqrt 6
the / represents division.
I simplify the expressions by themselves
sqrt 4/3 + 3 - 4 sqrt 2/2 sqrt 3

i believe the answer is -2/sqrt 3.
the possible ansswers are
sqrt 3/3
-2/ sqrt 3 + sqrt 3
-2 / sqrt 3
- sqrt 3
Any help is welcome. Thank you:)
Click here to see answer by jsmallt9(3296)

Question 280919: 2÷[sqrt(2+sqrt(2))] simplified/rationalized
Click here to see answer by jsmallt9(3296)

Question 282020: square root of 4x+5-square root of 3x-6=8
Click here to see answer by Edwin McCravy(8909)

Question 282226: how do you solve for (t) in this radical equation : (2t+1)^1/4 -1=2 ?
Click here to see answer by Mathematicians(84)

Question 282226: how do you solve for (t) in this radical equation : (2t+1)^1/4 -1=2 ?
Click here to see answer by dabanfield(803)

Question 282226: how do you solve for (t) in this radical equation : (2t+1)^1/4 -1=2 ?
Click here to see answer by mananth(12270)

Question 282305:
Click here to see answer by PeltierC(1)

Question 282291: solve the equation for all solutions sqrt [x-9]-12=-2
Click here to see answer by edjones(7569)

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