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

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Question 1102218: Use the Pythagorean theorem to find the missing side. c=8, a=6, find b. Thanks!!
Click here to see answer by josgarithmetic(39616)

Question 1102219: Use the Pythagorean theorem to find the missing side. c=8, a=6, find b. Forgot this part: Simplify your answer. Type a radical expression in lowest terms. Thanks!!
Click here to see answer by Alan3354(69443)

Question 1102252: To solve the equation y^4 + y^2 � 2 = 0, the best choice for u to obtain an equation in quadratic form is _______.

Click here to see answer by josgarithmetic(39616)

Question 1102557: For g(x)= -x^2 + 6x - 5
complete the following parts.
a) Determine whether the parabola opens upward or downward.
b) Find the y-intercept.
c) Find the vertex.
d) Find the equation of the axis of symmetry.
e) Find the x-intercepts (if any).
f) Draw the graph.
Click here to see answer by josgarithmetic(39616)

Question 1102680: Divide and simplify

I'm not sure where to start with this one, if you could just tell me how to do it I'll figure it out myself.
Thank you!

Click here to see answer by Alan3354(69443)

Question 1102681:
I know that I need to turn it into a quadratic equation, but I'm not totally sure how. Could you just tell me the first step or two?
Thank you!
Click here to see answer by Alan3354(69443)

Question 1103220: Adding and Subtracting Radicals
-2^4 (squareroot) 243 - ^4 (squareroot) 96 + 2^4 (squareroot) 96
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Question 1103560: simplify.
remove all perfect squares from inside the square root. x being positive.
Square root of 54x^7
Click here to see answer by josmiceli(19441)

Question 1103691: (4x+3)^2=4

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Question 1103691: (4x+3)^2=4

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Question 1103842: Please help me solve the question Z^4-z^3+Z^2-Z+1=0
Click here to see answer by Fombitz(32388)

Question 1104116: Given that √( √ √ ) = , where a, b > 0, find the rational number x. (That's √(b/a) inside another square root, which is inside another square root, by the way)
Click here to see answer by josgarithmetic(39616)

Question 1104114: The radical can be expressed as , where a < b. What is the product ab?
Click here to see answer by greenestamps(13198)

Question 1104114: The radical can be expressed as , where a < b. What is the product ab?
Click here to see answer by ikleyn(52776)

Question 1104237: Simplify (cuberoot (sqrt ( 245 ) - sqrt ( 20 ) ) )^(-2)
Click here to see answer by stanbon(75887)

Question 1104242: Find the product (xy) if x+y+ = 20 and x-y+=12.
Click here to see answer by ikleyn(52776)

Question 1104242: Find the product (xy) if x+y+ = 20 and x-y+=12.
Click here to see answer by greenestamps(13198)

Question 1104229: Simplify:

Click here to see answer by ikleyn(52776)

Question 1104240: Find the product of all values of x that make the following equation true. , x doesn't equal 0.
Click here to see answer by greenestamps(13198)

Question 1104240: Find the product of all values of x that make the following equation true. , x doesn't equal 0.
Click here to see answer by josgarithmetic(39616)

Question 1104945: 5√x−6=−20 with steps PLEASE I dont understand what to do with the 5 infront of the radical
Click here to see answer by Alan3354(69443)

Question 1105426: . Joan drove for 100 miles at x miles per hour. Then she increased her speed by 5 miles per hour and drove 200 additional miles.
i. Write a rational function T(x) that gives her total travel time in hours.
ii. Find T(65) to the nearest minute.

Click here to see answer by Boreal(15235)

Question 1105425: A triangular field is surrounded by 520 yards of fence. The longest side of the field is 20 yards less than three times the length the shortest side. The length of the next-longest side is two times the length of the shortest side. What is the length of the shortest side?

Click here to see answer by Boreal(15235)

Question 1105775: can you please help me solve the exponential equation
I know that the answer is x= -1/2 but i just don't know how you get it can you please help I have homework filled with many exponential equation problems but i don't get how it works my teacher taught it to us without the logarithmic equation way.
Click here to see answer by Alan3354(69443)

Question 1106370: Simplify the radical expression showing the steps: √72𝑎5𝑏6𝑚

Click here to see answer by ankor@dixie-net.com(22740)

Question 1095904: Which of these radical expressions are in simplest form?
sqrt x^3 / 4, sqrt x / 2, 2 sqrt x / 3, x/2 sqrt x.
Click here to see answer by Edwin McCravy(20054)

Question 1107096: Evaluate +...
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Question 1107096: Evaluate +...
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Question 1107093: One pair of integers (x.y) solves , find x*y.
Click here to see answer by Edwin McCravy(20054)

Question 1107968: Rationalize the numerator. Assume that all variables represent positive real numbers.
-
__________________________________
5
the "__" means that it is a fraction, 5 is the denominator!
thank you
Click here to see answer by stanbon(75887)

Question 1108200: sqrt5x-1=-sqrtx+2+3
Click here to see answer by Alan3354(69443)

Question 1108930: Solve for the following equation step by step and justify your steps when using an exponential property.
(7^x)^4=7^2-7^3/7^3x
Click here to see answer by Alan3354(69443)

Question 1108933: Solve for the following equation step by step and justify your steps when using an exponential property.
(7^x)^4=7^2-7^3/7^3x
Click here to see answer by Alan3354(69443)

Question 1109001: Simplify the radical expression. Assume that all variables are nonnegative real numbers: \root(4)(243x^(8)y^(13)z^(15))
Click here to see answer by Theo(13342)

Question 1109330: What do you place do you round to when doing pythagoryn theorym if you get a decimal number?
Click here to see answer by josgarithmetic(39616)

Question 1109638: Solve the equation by using the square root property. Simplify all radicals
5x^2=3
Click here to see answer by stanbon(75887)

Question 1109641: (x-10)^2=8
Click here to see answer by josgarithmetic(39616)

Question 1109740: Simplify the radical. Assume that all variables represent nonnegative real numbers.
squre root 169m^21n^8
Click here to see answer by Alan3354(69443)

Question 1109735: Solve the equation by using the square root property. Simplify all radicals.
7x^2=5
Click here to see answer by Alan3354(69443)

Question 1110664: sqrt (16+8sqrt (3)). Make it in the form of a+b sqrt (3)
Click here to see answer by ikleyn(52776)

Question 1110638: Find the followinh. Asdume that the letter can represent any real number.
Sqrt(z-7)^2.

Click here to see answer by Fombitz(32388)

Question 1110967: Hi, I am hoping you could solve this equation with a step by step picture on how you got what you did at each step. I have an exam and I am really struggling. Thanks
Numerator: 3+3^(1/3)
Denominator: 9^(1/3)
It is actually the cubed root of 3 and the cubed root of 9, I just didnt know how to type that
Click here to see answer by Alan3354(69443)

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