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

Tutors Answer Your Questions about Radicals (FREE)

Question 313736: is this relationship correct? why or why not?
√(x^2+2xy+y^2)=x+y
Click here to see answer by ankor@dixie-net.com(15656)

Question 313735: is the relationship correct why or why not?
√(x^2+y^2)=x+y
Click here to see answer by rapaljer(4667)

Question 313735: is the relationship correct why or why not?
√(x^2+y^2)=x+y
Click here to see answer by Alan3354(30993)

Question 314204: radical 250 x^5 y^3
Click here to see answer by Fombitz(13828)

Question 314204: radical 250 x^5 y^3
Click here to see answer by Edwin McCravy(8909)

Question 314310:
Hello, can you please help me with this?
Click here to see answer by rapaljer(4667)

Question 314683: x + 8(square root)x -9=0
Click here to see answer by solver91311(16897)

Question 314683: x + 8(square root)x -9=0
Click here to see answer by nyc_function(2733)

Question 314753: How do you solve ?
Click here to see answer by Edwin McCravy(8909)

Question 314798: Please help me to solve this equation. The question asks me to evaluate the following expression (-3)^2
Click here to see answer by LalaTata654(3)

Question 314744: what is 2x^2 sqrt 8x^2 y^3
Click here to see answer by Fombitz(13828)

Question 314840: Please help I do not understand how to do this....
find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the calculations necessary to find the approximate wingspan. The formula is not accurate for flightless birds, and is only a model used to estimate the wingspan of others.
In case conversions are necessary, 16 oz is 1 pound; 1 kg = 2.2 pounds; 1000g = 1 kg. For the formula about wingspan to be accurate, you must use the bird’s weight in pounds.
Click here to see answer by Fombitz(13828)

Question 315013: What is the value of 3 square root -125?
Click here to see answer by stanbon(57361)

Question 315012: Write the following in simplified radical form 3 square root 250?
Click here to see answer by rapaljer(4667)

Question 315014: Solve for t , where t is a real number. square root of 9t-9 = square root 6t-3
Click here to see answer by Fombitz(13828)

Question 315017: what is 72^3* 16x over times x to the ^3rd -19.6squared, all to the 5th power??
Click here to see answer by Fombitz(13828)

Question 315121: (5-RADICAL SIGN X)SQUARED
Click here to see answer by Fombitz(13828)

Question 315243: Please help me solve this equation:
Click here to see answer by Fombitz(13828)

Question 315546: simplify 225 in radical form over 400?
The square root of 225 divided by the square root of 400.

Click here to see answer by stanbon(57361)

Question 315552: simplify the following radical expression : 4 sqrt (625)
a) 25
b) sqrt (25)
c) 5
d) no solution exists

Click here to see answer by jim_thompson5910(28595)

Question 315553: simplify kthe following radical expression : 3 sqrt (1/8)
a) sqrt (1/2)
b) 0
c) 1/2
d) no solution exists

Click here to see answer by jim_thompson5910(28595)

Question 315454: Which number is the root of 3x^3 - 16x^2 = 23x - 6?
a -2 b -1 c 0 d 1 e 2
Click here to see answer by Fombitz(13828)

Question 315569: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. Cube root of 343x^5/cube root of y^3.
Click here to see answer by jim_thompson5910(28595)

Question 316225: I am practicing for an algebra college exam. The question asks me to divide and simplify this expression:
1 2
(((a^3 b^4)/(6 b^3))^.5)/(((a^3)/(24 a^2 b))^.5)
I understand that anything to the .5 is the same as square root. And I believe that the first part will be:
(((a^3 b)/(6))^.5) with the second part being:
(((a)/(24 b))^.5)
The problem I am having is simplifying it with the division between the two sides. I know I need to flip the second part; but I am confused as to how to do this with the radical. The answer is supposed to be 2ab , but I do not know how to get there. If you could help me, it would be much appreciated.
~hbanana
Click here to see answer by solver91311(16897)

Question 316329: Write the following in simplified radical form:
cuberoot(375)
Click here to see answer by jim_thompson5910(28595)

Question 316363: A square flower bed is to be enlarged by adding 3 feet to each side. If the larger square has an area of 169 feet, what is the length of the orginal square?
Click here to see answer by nerdybill(6962)

Question 316325: Write a narrative description of what you would do to simplify each one.
(16)^(1/2)and
Sq. root of 100
Click here to see answer by checkley77(12569)

Question 316389: Find the exact area of a triangle with a base of square root 30 meters and a height of square root 6 meters?
Click here to see answer by checkley77(12569)

Question 316387: The radius of a sphere is given by the formula:
r=(0.75V)over pie ^1/3
where V is its volume. Find the radius of a spherical tank that has a volume of 32pie over 3 cubic meters.
Click here to see answer by Alan3354(30993)

Question 316454: 1. y = 2sqrt(x + 3) by graphing 5 points. Use the endpoint of the function as your first point.
y = 2 sqrt (x) + 3
x = 0, y = 2sqrt(0) + 3 = 3
x = 1, y = 2sqrt(1) + 3 = 5
x = 9, y = 2sqrt(9) + 3 = 9
x = 16, y = 2sqrt(16) + 3 = 11
x = 25, y = 2sqrt(25) + 3 = 13
How do I find out what the endpoint is exactly ?
Click here to see answer by scott8148(6628)

Question 316530: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
squareroot u - squareroot v over squareroot u + squareroot v
I am not sure how to do this. I apprecaite anyones help.
Thanks in advance.
Click here to see answer by Fombitz(13828)

Question 316390: If the average radius of the orbit of Venus is 0.723 AU, then how many years does it tale for Venus to complete one orbit of the sun? Use the following information to solve.
According to Kepler's third law of planetary motion, the ratio T^2 over R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one compete orbit of the sun. Jupiter orbits the sun in 11.86 years with an average radius of 5.2 AU, whereas Saturn orbits the sun in 29.46 years.
Click here to see answer by ankor@dixie-net.com(15656)

Question 316960: find the distance between (0,-5) and (-6,8).
a) 14.32
b) 13
c) 3.87
d) 6.70
Click here to see answer by JBarnum(2044)

Question 316968: simplify the following radical expression: sqrt (3) * sqrt (3)
a) none or 0
b) sqrt (3)
c) 3
d) 1

Click here to see answer by JBarnum(2044)

Question 316971: simplify: sqrt (121/9)
a) sqrt (11) / sqrt (3)
b) 3 sqrt (11)
c) 11/3
d) sqrt (11) / (3)
Click here to see answer by JBarnum(2044)

Question 316943: simplify: sqrt (121) / (9)
a) sqrt (11) / sqrt (3)
b) 3 sqrt (11)
c) 11/3
d) sqrt (11) / (3)

Click here to see answer by ashleymarrie(1)

Question 316994: find the distance between (-2,9) and (-5,15)
a)45.02
b) 6.17
c)24.18
d) 18.67
Click here to see answer by Alan3354(30993)

Question 316994: find the distance between (-2,9) and (-5,15)
a)45.02
b) 6.17
c)24.18
d) 18.67
Click here to see answer by jim_thompson5910(28595)

Question 317006: simplify the following radical expression: 4 sqrt (81/16)
a) 3/2
b) 2
c)3
d) 2/3
Click here to see answer by jim_thompson5910(28595)

Question 317005: simplify the following radical expression: 4 sqrt (625)
a) 5
b) sqrt (25)
c) 25
d no solution exists
Click here to see answer by checkley77(12569)

Question 317005: simplify the following radical expression: 4 sqrt (625)
a) 5
b) sqrt (25)
c) 25
d no solution exists
Click here to see answer by mananth(12270)

Question 317005: simplify the following radical expression: 4 sqrt (625)
a) 5
b) sqrt (25)
c) 25
d no solution exists
Click here to see answer by jim_thompson5910(28595)

Question 316989: find the distance between (2/3,4) and (5/3,7)
a)3.46
b)3.16
c)10.06
d)4.24
Click here to see answer by Alan3354(30993)

Question 317129: Simplify: 2 sqrt (3) + 6 sqrt(2) - 4 sqrt(3) + sqrt (2)
a) 8 sqrt(2) - 3 sqrt(3)
b) 6 sqrt(2) - 8 sqrt(3)
c) 5 sqrt(6)
d) 7 sqrt(2) - 2 sqrt(3)
Click here to see answer by Fombitz(13828)

Question 317168: Z^1/3 Z^-2/3 Z^1/6 divided by Z^-1/6

Click here to see answer by Fombitz(13828)

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