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

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Question 171974: Find all square roots of the number 256.
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Question 171997: Give an exact answer and an approximation to the nearest tenth. Below is a diagram of a water slide. How far is it along the ground from the end of the slide back to the base of the ladder that leads to the slide?
a = 16 ft (height)
c = 23 ft (hypotenuse)
b =

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Question 171996: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.
a = 1, b = 6

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Question 171996: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.
a = 1, b = 6

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Question 171995: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
leg a = 27
hypotenuse = 30
leg b =

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Question 171995: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
leg a = 27
hypotenuse = 30
leg b =

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Question 171994: The distance d in miles that can be seen on the surface of the ocean is given by d = 1.3 sqrt h, where h is the height in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 13.5 miles?
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Question 171994: The distance d in miles that can be seen on the surface of the ocean is given by d = 1.3 sqrt h, where h is the height in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 13.5 miles?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 171993: Solve the equation.
sqrt 10 + x = -1 - sqrt 11 - 5x

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Question 171989: Solve the equation.
y = sqrt 3y + 10

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Question 171987: Simplify
sqrt 5/sqrt 180

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Question 171990: Solve the equation.
sqrt 2x + 5 - sqrt x - 2 = 3

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Question 171975: Simplify
sqrt 64

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Question 171988: Rationalize the denominator and simplify.
sqrt 81/40

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Question 171978: The distance in miles that can be seen on the surface of the ocean is given by d = 1.4sqrt h where h is the height above the surface of the water. How many feet high above the water (to the nearest tenth) would a pirate have to climb to see 16 miles?
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Question 172240: Solve.
(y + 5)(y - 1) = 27

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Question 172235: Simplify by factoring.
sqrt (x + 5)^12

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Question 172236: Multiply and then simplify by factoring, if possible.
sqrt 2x sqrt 16y

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Question 172247: Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16

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Question 172247: Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16

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Question 172237: Rationalize the denominator and simplify.
49 sqrt 14/21 sqrt 3

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Question 172245: Graph the quadratic equation.
y = x^2 + 2x

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Question 172245: Graph the quadratic equation.
y = x^2 + 2x

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Question 172244: Graph the quadratic equation. Label the ordered pairs for the vertex and the y-intercept.
y = x^2 + x -2

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Question 172264: sqrt(x+7) - 2sqrt(x) = -2
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Question 172238: Solve
x^2 + sqrt 22x = 0

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Question 172438: (sqrt50x^5)(sqrt98x^4)
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Question 172439: multiply-
(sqrt3-3sqrt2)(sqrt3+3sqrt2)

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Question 172243: Add
sqrt 4x + sqrt 81x^3

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Question 172446: subtract
3 (cubert x^5y^7) - 8xy(cubert x^2 y^4)

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Question 172443: simplify -
(x^1/2 y^-1/3 / x^-1/2 y^2/3)^6

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Question 172472: The distance in miles that can be seen on the surface of the ocean is given by d = 1.4 sqrt h where h is the height above the surface of the water. How many FEET high above the water (to the nearest tenth) would a pirate have to climb to see 16 miles?
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Question 172484: Find the x-intercepts.
y = x^2 + 4x - 1

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Question 172483: Graph the quadratic equation and label the ordered pairs for the vertex and the y-intercept.
y = x^2 + x - 2

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Question 172480: Solve
4/m^2 - 7 = 1

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Question 172481: Solve h = 16t^2 + vt + s for t

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Question 172476: Solve the equation
y = sqrt (3y + 10)

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Question 172475: Rationalize the denominator and simplify.
sqrt 81/40

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Question 172474: Simplify
sqrt 448x^2

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Question 172474: Simplify
sqrt 448x^2

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Question 172709: Simplify. Assume that no radicands were formed by raising negative numbers to even powers.
3 square root 1000x^4y^5

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Question 172957: - 80 squire root


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Question 172482: The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000 m^2.
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Question 173106: the square root of y^36
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Question 173107: 3 square root of -27y^36/1000
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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