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

Tutors Answer Your Questions about Radicals (FREE)

Question 337672: x^3/2=64
cubed root of 64 is 4
Click here to see answer by Fombitz(32388)

Question 337678: ``Add or subtract terms whenever possible.
2 cubed root of 192 (192 is in square root) + cubed root of 24 (twenty four is in square root)
Answer choices:
A.) 10 cubed root 3
B.) 2 cubed root 216
C.) 4 cubed root 3
D.) 3 cubed root 216
Click here to see answer by Stitch(470)

Question 337753: 5squar-root 8x^29/81x^8
Click here to see answer by Fombitz(32388)

Question 337826: Z to the second power equals 85
Click here to see answer by solver91311(24713)

Question 337858: rationalize the denominator and simplify 5sqrt8x^29/81x^8
i rewrote it as 5sqrt8x^29 over 5sqrt81x^8
not sure how to rationalize the denominator
Click here to see answer by edjones(8007)

Question 338173: z=sqrt(x^2+y^2)
I have no idea of how to solve this. Could someone please explain to me how to work this types of radical equation out, so I can try on my own. Thank you.
Click here to see answer by solver91311(24713)

Question 338166: I need to find the steps to from
(7√(2*2*3))/6 to 7/3 √3
I have been working on it for two days now. I just don't get it.

Click here to see answer by solver91311(24713)

Question 338166: I need to find the steps to from
(7√(2*2*3))/6 to 7/3 √3
I have been working on it for two days now. I just don't get it.

Click here to see answer by CharlesG2(834)

Question 338457: Simplify the expression assuming x and w may be negative.
∜w^12x^68
Please show your work.
The answer I got was
|w^3|x^17
Click here to see answer by jim_thompson5910(35256)

Question 338554: Hello!
I have these few problems and just want to make sure I have them correct.
1. Find the root if it is a real number:
Square Root -561
Is this defined as NOT A REAL NUMBER?
2. Find the root if it is a real number:
Index is 4 and negative sign is outside the root
With 81 as the square root inside
Is this defined as -3?
3. Simplify the root.
Negative on the outside, square root x^28
Is this defined as -x^14?
or is it defined as |-x^14|?
4. Simplify the first converting to rational exponents. Assume that all variables represent positive real numbers.
Square Root z^28
Is this defined as z^14?
I'm confuse on whether it will be an absolute value with | | or divide them by 2?
Thank you!

Click here to see answer by Alan3354(69443)

Question 338561: How does 2^3^2=512 please
Click here to see answer by Fombitz(32388)

Question 338672: 2. The equation D=1.2√h gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long�s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long�s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer

Click here to see answer by nyc_function(2741)

Question 337853: 8√27 - 3√3

Click here to see answer by nyc_function(2741)

Question 338719: Please help:

Rationalize the denominator.
49√5 over 5√7

Click here to see answer by stanbon(75887)

Question 338720: Please help:
Multiply and simplify by factoring. Assume that all expressions under radicals represent non-negative numbers.
√5b^3 √10c^4
Click here to see answer by stanbon(75887)

Question 338717: Please help solve by rationalizing the denominator:
5 - √y over 4 + √y
Click here to see answer by stanbon(75887)

Question 338766: simplify by factoring:
4th root of √96
Click here to see answer by Fombitz(32388)

Question 338769: multiply and simplify by factoring:
√50 * √150
Click here to see answer by Fombitz(32388)

Question 338716: Please help me by rationalizing the denominator:
√u - √a over √u + √a
Click here to see answer by Fombitz(32388)

Question 338936: what is the square root of 25 times 10 to the 8th power?
Click here to see answer by jim_thompson5910(35256)

Question 338770: add and simplify by collecting like radical terms if possible:
√3a + 2√75a^3
Click here to see answer by ankor@dixie-net.com(22740)

Question 338767: simplify by factoring:
4th root of √96x^8y^10
Click here to see answer by jim_thompson5910(35256)

Question 338768: simplify by factoring:
5th root of √288x^17y^15
Click here to see answer by jim_thompson5910(35256)

Question 339040: Prove that the square root of any perfect square number is equal to positive (+) and negative (-).
Click here to see answer by Alan3354(69443)

Question 339111: A baseball diamond is actually a square, 90 feet on each side. What is the distance from third base to first base
Click here to see answer by Earlsdon(6294)

Question 339277: Solve and check.
√(27-3x)=x-3

Click here to see answer by stanbon(75887)

Question 339289: i have done over 50 problems and i have 4 that i do not understand at ALL.
here is one of the problems and i hope u will help me with it.

please help me simplify it.
Click here to see answer by Edwin McCravy(20055)

Question 339263: 5x^2 + 21x + 4 over x^2 - 16 divided by 5x + 1 over x-2
these are fractions
perform the indicated operations and simplify your answer
Click here to see answer by jrfrunner(365)

Question 339331: Rewrite with rational exponents
Click here to see answer by mananth(16946)

Question 339403: Please help by rewriting with rational exponents:
(√5mn) to the power of 5
Click here to see answer by stanbon(75887)

Question 339405: Please solve using the laws of exponents to simplify:
6 to the power of 7/6 over 6 to the power of 5/6
Click here to see answer by stanbon(75887)

Question 339405: Please solve using the laws of exponents to simplify:
6 to the power of 7/6 over 6 to the power of 5/6
Click here to see answer by Edwin McCravy(20055)

Question 339402: Please help by subtracting and then collecting like radical terms if possible:
4�√5-2�√5
Click here to see answer by stanbon(75887)

Question 339869: Can you please show me the correct graph for the following equation:
y=log_4(x+2)
thank u
Click here to see answer by solver91311(24713)

Question 339867: i do not understand how to simplify this problem:
sqrt(75x^3)*sqrt(5x^3)
please and thank u
Click here to see answer by jrfrunner(365)

Question 339868: i have tried to simplify this problem and each time i come up with a different answer. please show me the steps how to do it. thank you.
2sqrt(48)-3sqrt(27)
Click here to see answer by jrfrunner(365)

Question 339930: I'm asked to factor the polynomial:
x^4 + x^2 + 1
but I can't see how it fits into one of the patterns.
If I try grouping to pull x^2 from the first two, I get:
x^2(x^2 + 1) + 1
but that's not factoring, is it?

Click here to see answer by jim_thompson5910(35256)

Question 340013: Please help by multiplying:
(6+√7)(6-√7)
Click here to see answer by solver91311(24713)

Question 339892: Solve
The square root of x+1, Under the square root of 3=the square root of 3x-5
Click here to see answer by edjones(8007)

Question 340008: Please help solve the following:
�√3 * �√9
Click here to see answer by edjones(8007)

Question 340011: Please help by using rational exponents to simplify:
�√x^15
Click here to see answer by edjones(8007)

Question 340427: What is the simplified radical form of 3087?
I factored this number by three two times but I am stuck on 343 becuase I don't know what numbers it is divisible by.
3087
3 1029
3 343

Click here to see answer by jim_thompson5910(35256)

Question 340456: √432 in lowest radical form
Click here to see answer by jim_thompson5910(35256)

Question 340737: How do I solve this √36?
Click here to see answer by jim_thompson5910(35256)

Question 340708: is 1/3 greater or less than the square root of 1.25

Click here to see answer by Johnny Depp(1)

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