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

Tutors Answer Your Questions about Radicals (FREE)

Question 44795: I have to simplify by combinineg like terms
(s.r. of 3 + 5)(s.r. of 3 - 3)
Do I start with the FOIL method? If so - it doesn't look right?
Thanks
Click here to see answer by stanbon(75887)

Question 44929: I am required to solve using the quadratic formula, if there are no real roots, then that can be an answer too. Thank you.
3=7x-4x(2) the two in parentheses is a power.
Click here to see answer by venugopalramana(3286)

Question 44947: Can someone help with this question?
The shape of a supporting arch can be modeled by h(x)=-0.03x^2+3x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.
Click here to see answer by Nate(3500)

Question 44944: Simplify:
√16x^2y^4
Click here to see answer by tutorcecilia(2152)

Question 44945: Simplify:
(√12)-(√18)+(3√50)+(√75)
Click here to see answer by tutorcecilia(2152)

Question 44960: can you show me a step-by-step process in solving this problem:
(2+ the square root of 3)(6- the square root of 2)
Click here to see answer by tutorcecilia(2152)

Question 45107: Simplify assume all variables are represent positive numbers
sq root of x4y3 it was the sq root of x to 4th power y third power.

Click here to see answer by Nate(3500)

Question 45144: solve: -x^4+200=102x^2
Click here to see answer by rapaljer(4671)

Question 45321: Solve each equation by completing the sqare.
m to 2nd power-4m-32=0
Click here to see answer by tutmath(14)

Question 45324: Use quadratic formula to solve for equation
z(2z+3)=-2
Click here to see answer by fractalier(6550)

Question 45322: Find the imaginary solutions of each equation
t to 2nd power + 6t + 10 = 0
Click here to see answer by fractalier(6550)

Question 45320: Use sqare root property to solve each equations
(5t-2)2ndpowers = 12
Click here to see answer by fractalier(6550)

Question 45380: Find two consecutive positive integers such that the sum of their square is 85.
I think I start with square root of x plus the square root of x + 1 = 85.
If so then I don't know where to go from here.
Thanks for help.
Click here to see answer by fractalier(6550)

Question 45408: I am struggling with advanced Scientific Notation. I need some help as even the explanations I have printed out are not tracking for me.
POWERS AND ROOTS OF SCIENTIFIC NOTATION:
Calculate: (1*10^2)^-2

In a previous problem: (3*10^-4)^3 the answer turned out to be 2.7 * 10^-11. I have no idea how they got that.
Click here to see answer by stanbon(75887)

Question 45456: I am having trouble with this could someone explain and show me how to work this problem.
Preform the operations. Write the ansers without negative exponents. Assume that all varibles represent postive numbers.
(27x^-3)^-1/3
Click here to see answer by stanbon(75887)

Question 45693: radical 4 times radical 11
Click here to see answer by stanbon(75887)

Question 46018: sq t+1 -sq2t = -1
Thank you, Michelle
Click here to see answer by Nate(3500)

Question 46319: i need to simplify the radical
the 3rd square root of 64/ x to the 12th power
Click here to see answer by Nate(3500)

Question 46346: Solve
sqrt (x - 1) = x - 3

Thanks!!!
Click here to see answer by Nate(3500)

Question 46368: for each indicated sum and/or difference simplify the radicals and combine when possible

square root of 9m^2n^2 + 2 square root m^2n^2-3mn
Click here to see answer by Earlsdon(6294)

Question 46370: Solve and check solution

sqrt (2y + 7) + 4 = y

Thank You!!!
Click here to see answer by Earlsdon(6294)

Question 46372: for each indicated sum and/or difference,simplify the radicals and combine when possible
5x square root 72 + square 8x^2
a square root 125y-b square root 45y
square root 36a + square root a^4 + square root a^2b
1/3 square root 45 -1/2 square root 12 + square root 20 +2/3 square root 27
2 square root 18x^2 -3 square root 8x^2
a square root 5000b^3 +2 square root 125a^3b^2

Click here to see answer by AnlytcPhil(1806)

Question 46439: Simplify by combining like terms
x sqrt(18)- 3 sqrt (18x^2)

Thank You!!!
Click here to see answer by adamchapman(301)

Question 46435: All of my work this week is on factoring. Solve this equation:
t� + 1 = 13/6t
Click here to see answer by checkley71(8403)

Question 46659: Solve each formula for the indicated variable.

I = E/R+r solve for R

Click here to see answer by adamchapman(301)

Question 46659: Solve each formula for the indicated variable.

I = E/R+r solve for R

Click here to see answer by checkley71(8403)

Question 46667: Simplify
sqrt (20)/5 - 1/ sqrt (5)

Thank You!!
Click here to see answer by Nate(3500)

Question 46668: Simplify

(2x sqrt (2x) (3 sqrt 5x)

Thank you!
Click here to see answer by Nate(3500)

Question 46669: Simplify

a sqrt (8) - 3 sqrt (2a^2)
Thank you!!
Click here to see answer by Nate(3500)

Question 46690: simplify the radical . assume that all variables represent positive numbers.
3rd root of 343 x to the 4th power y to the 5th power
Click here to see answer by AnlytcPhil(1806)

Question 46774: Simplify

sqrt (90)/ sqrt (10)

Thank You!
Click here to see answer by adamchapman(301)

Question 46772: Solve
sqrt (y+18)= 4

Thank You!

Click here to see answer by adamchapman(301)

Question 46773: Simplify
sqrt (7) (5 sqrt (5)) - 3 sqrt (7)
Thank You!
Click here to see answer by Nate(3500)

Question 46754: Find the imaginary solutions to each equation.

3y� + 8 = 0

Click here to see answer by adamchapman(301)

Question 46888: Solve.
9x^2 = 14
Thanks!
Click here to see answer by tutorcecilia(2152)

Question 46912: Use a calculator to approximate 7 sqrt(6) + 2 sqrt(6)to the nearest hundredth.

Thanks!
Click here to see answer by tutorcecilia(2152)

Question 46920: Graph the quadratic equation after completing the given table of values. y = x^2 � 1
I need to complete a table for both x and y and then graph the points. Is there anyone who can help with this?
Thanks
x y

Click here to see answer by stanbon(75887)

Question 46913: Simplify

(7 + sqrt(3)(7 - sqrt(3)

Thank you!
Click here to see answer by stanbon(75887)

Question 46889: Factor.
12x^4 y^3 + 16x^3 y^3 -2*x^3 y^4
Thanks!
Click here to see answer by fractalier(6550)

Question 47056: A new machine takes one-third the time to complete a certain job that an old machine does. Working together they can complete the job in 8 minutes. How long would it take the old machine to complete the job if it were working alone?
Click here to see answer by Paul(988)

Question 47053: Please help
x+2= cubert(12x+8)
thank you
Click here to see answer by Nate(3500)

Question 47052: sqrt(3(x+4)= 1+ sqrt (2x=7)
Click here to see answer by Nate(3500)

Question 47046: Simplify
sqrt(7)/(100)
Thanks!
Click here to see answer by consc198(59)

Question 47264: Can someone show me how to solve this equation?
sqrt x3(power) = 27

Thanks
Click here to see answer by checkley71(8403)

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