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

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Question 1028360: Simplify the following expressions completely:
A) √49x^40

B) √36m^30


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

Question 1028535: What is the effect of squaring a square root or cubing a cube root?
Click here to see answer by josmiceli(19441) About Me 

Question 1028569: A quadratic function h has the rule h(x) = x2 - 4x +5. Find the value of k for which h(x) +k =0 has two positive solutions.

Click here to see answer by Fombitz(32388) About Me 
Question 1028569: A quadratic function h has the rule h(x) = x2 - 4x +5. Find the value of k for which h(x) +k =0 has two positive solutions.

Click here to see answer by rothauserc(4718) About Me 

Question 1028645: 36%2B%281%2F2%29x%5E2=x%5E2
Click here to see answer by LinnW(1048) About Me 

Question 1028736: Please help me with the problems below, it would be gladly appreciated. Thank you! <3

Solve the equation using any method. Round to the nearest tenth, if necessary.

1.) x^2-144=0

2.) x^2-6x=-8

3.) 2x^2-5x-13=0

4.) 9x^2+48x=36

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

Question 1028871: T=2pai rootover 1 by g
Click here to see answer by ikleyn(52776) About Me 

Question 1029318: 9/4+sqrt(3a)
Click here to see answer by Alan3354(69443) About Me 

Question 1029319: 7/8-sqrt(6)
Click here to see answer by Fombitz(32388) About Me 

Question 1029416: 2x ^3(−16x^3y^7) + 5y ^3(250x^6y^4)

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

Question 1029415: (x^1/4 y^−9/8 / y^−7/8)^−8

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

Question 1029412: (27m^−6 n^−6)^1/3 (m^−1/3 n^5/6)^6


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

Question 1029320: sqrt (3mn/11n
Click here to see answer by Fombitz(32388) About Me 

Question 1029630: can you help me here in this question: 3√7
√21
in words it is 3 sqrt7 over 21

Click here to see answer by rothauserc(4718) About Me 

Question 1029605: 3 square root of y -3=square root of 4y+3
Click here to see answer by LinnW(1048) About Me 

Question 1030155: Multiply:
(3 root of x + 4)^2

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

Question 1030168: Simplify:
7/9 + root of 3

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

Question 1030250: I need help simplifying this expression:
sqrt%2824%2B8sqrt%285%29%29
I removed the common factor out of the square root to obtain 2sqrt%286%2B2sqrt%285%29%29, but the answer key says it is 2%2B2sqrt%285%29.
How is it possible? Am I missing out on a rule here?

Click here to see answer by mananth(16946) About Me 

Question 1030312: Simplify:

cubed root of (4a^2b^10) * cubed root of (27ab^4)

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

Question 1030309: Multiply:
root of (5x^3y) root of (10x^3y^4)

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

Question 1030619: Multiply:
root of (−5) * root of (−13)

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

Question 1030637: What is x squared minus 4x -12 = 0
Click here to see answer by fractalier(6550) About Me 

Question 1030940: Squroot of 3xover20

Is the answer squroot 15xover10?

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

Question 1031030: Find the solution to the equation 4x^2+8x=7 by completing the square. Express your answers in simplest form.
Click here to see answer by mananth(16946) About Me 

Question 1031062: Hello tutors! Please help me with the question below :)

A cylindrical can of soup has a volume of 170 cubic inches. The radius of the soup is found using the formula r=√V/πh, where r is the radius, V is the volume of the can, and h is the height of the can.

a.) If the height of the can is 6 inches, find its radius to the nearest inch.

b.) If the radius of the can is 3 inches, find its height to the nearest inch.

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

Question 1031063: Hello tutors! Please help me with the question below :) Please show work as well!

The velocity (in meters per second) of a car speeding up with time can be modeled by the equation v(t)=6√.

a.) What is the car's velocity at 4 seconds?

b.) When does the car's velocity reach 24 meters per second?

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

Question 1031081: Hello tutors! Please help me with the question below :) Please show work as well!

The velocity (in meters per second) of a car speeding up with time can be modeled by the equation v(t)=6√t.

a.) What is the car's velocity at 4 seconds?

b.) When does the car's velocity reach 24 meters per second?

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

Question 1031082: Please help me, tutors :)

A cylindrical can of soup has a volume of 170 cubic inches. The radius of the soup is found using the formula r=√V/πh, where r is the radius, V is the volume of the can, and h is the height of the can.

a.) If the height of the can is 6 inches, find its radius to the nearest inch.

b.) If the radius of the can is 3 inches, find its height to the nearest inch.

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

Question 1031083: Hello tutors :) Please click on the link below and help me solve those 2 problems. I don't know how to do them so it'd be gladly appreciated if you could help me :) I hope you have a great night!

http://i.imgur.com/FbbMjhm.png

Click here to see answer by rothauserc(4718) About Me 

Question 1031064: Hello tutors! Please help me with the problems in the link, show your work as well. Gladly appreciated :)

http://imgur.com/BbeBNQR

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

Question 1031058: Hello, tutors! Please help me with the problem down below :)

The time t (in seconds) it takes a dropped object to fall h feet is given by t=1/4√h.

a.) Use a graphing calculator to graph the function. Describe the domain and range.

b.) It takes about 13.17 seconds for a ball dropped from the golden gate bridge in san francisco to reach water below. about how high is the bridge from the water?

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

Question 1031686: Simplify the radical expression
7 √49n^9/4n^7

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

Question 1032187: Prove the nth root of ab equals the nth root of a times the nth root of b.
Click here to see answer by richard1234(7193) About Me 

Question 1032258: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is sqrt(39) feet.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1032258: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is sqrt(39) feet.
Click here to see answer by MathTherapy(10551) About Me 
Question 1032258: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is sqrt(39) feet.
Click here to see answer by stanbon(75887) About Me 

Question 1032186: Prove the Irreducible Radicals definition

Click here to see answer by robertb(5830) About Me 

Question 1032313: Use the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with the property below, taking into account multiplicity of solutions.
A polynomial equation of degree n has n solutions, and any solution of multiplicity p is counted p times.
x^3 − x^2 − 21x + 45 = 0
Please help me solve this, thank you!!

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

Question 1032345: How do you prove irreducible radicals?
Click here to see answer by solver91311(24713) About Me 

Question 1032304: Solve: C/Z=N for z
Click here to see answer by Alan3354(69443) About Me 

Question 1032410: The expression sqrt(729g^5y^3)^3 (729g^5y^3) equals kg^ry^s
where r, the exponent of g, is:
And s, the exponent of y is:
And k, the leading coefficient is:
The exponent raised to the 3 on the first squate root is supposed to be a cube(third) root

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

Question 1032453: Help please!
For all x is not = -4, what is equivalent to the expression x%5E2+%2B+12x+%2B+32%2Fx%2B4?
Thanks!

Click here to see answer by ikleyn(52776) About Me 
Question 1032453: Help please!
For all x is not = -4, what is equivalent to the expression x%5E2+%2B+12x+%2B+32%2Fx%2B4?
Thanks!

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

Question 1032462: simplify the square root of 63. What is the highest perfect square that can divide into it? I didn't get the right answer when i did it.
Click here to see answer by Paceinator(3) About Me 
Question 1032462: simplify the square root of 63. What is the highest perfect square that can divide into it? I didn't get the right answer when i did it.
Click here to see answer by ikleyn(52776) 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