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

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Question 1083174: The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg?
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Question 1083174: The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg?
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Question 1083174: The lengths of the hypotenuse of a right triangle is 27 meters. One of the legs of this triangle has a length of 11sqrt(5) meters. What is the length of the other leg?
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Question 1083175: A quadrilateral has side lengths of 14sqrt(34) units, 12sqrt(17) units, 20sqrt(34) units and 66sqrt(17) units. What is the perimeter of this quadrilateral?
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Question 1083173: Find the perimeter of a triangle whose side lengths are 8sqrt(2), 9sqrt(578) inches, and 14sqrt(184) inches.
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Question 1084103: 11 over the square root of 11

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Question 1084266: The 2 consecutivo integers of square root
190

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Question 1084311: I am preparing my self for the upcoming next level algebra semester in the fall. I have a practice test with some problems I will encounter during the semester. As a reference I am using Blitzer (great book) along with the solution manual. Right of the rip I was hit with this problem, which I can not find in the book. Please tell the name of this problem so I can look it up in the book and find other similar problems to practice and show me the steps involved to solve the problem and I will figure it out. its two square roots multiplied against each other. ∛(□((x^0 y^4)/(3z^3 ))) . ∛(81x^9 y^(-10) z^6 )Simplify completely.


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Question 1085060: How to solve 45√25
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Question 1085088: Simplify the expression 3/ sqrt 7-sqrt 2
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Question 1085140: 3root3 Plus 2root27 plus7byroot3


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Question 1085584: (125x^4y^3/27x^-2y^6)^1/3
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Question 1085584: (125x^4y^3/27x^-2y^6)^1/3
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Question 1085743: Please may you help me solve this;line A is 3x-4y+11=0 and line B is 2x-3y+9=0.The lines are line A,B and C pass through point A.Without finding point A,find the equation of line C if its slope is -2/3

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Question 1085743: Please may you help me solve this;line A is 3x-4y+11=0 and line B is 2x-3y+9=0.The lines are line A,B and C pass through point A.Without finding point A,find the equation of line C if its slope is -2/3

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Question 1086001: Simplify Square root of 1/9 + 1/16
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Question 1086093: 1. Solve the quadratic equation using the square root method: x^2=225
2. Solve the quadratic equation using the square root method: x^2-2=142
3. What are the dimensions of a square whose area is 36x^2

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Question 1086248: Write the expression in simplest radical form
(√81+225)

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Question 1086431: Hi, I need help with the following radical question:
root%283%2C2x-5%29+=+3+
I know that I need to remove the radical by raising each side to the index of the radical, but I am not sure how to do that with this problem.

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Question 1086431: Hi, I need help with the following radical question:
root%283%2C2x-5%29+=+3+
I know that I need to remove the radical by raising each side to the index of the radical, but I am not sure how to do that with this problem.

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Question 1086748: I'm a bit confused as to how I go about solving this equation. 2^5sqrt5x+2-1=3

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Question 1086951: How do I isolate v from L=i+%2A+sqrt%281-v%5E2%2Fc%5E2%29+ ?
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Question 1086951: How do I isolate v from L=i+%2A+sqrt%281-v%5E2%2Fc%5E2%29+ ?
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Question 1088703: दो संख्याएँ ऐसि है कि उनका अंतर, उनका योग तथा उनका गुणनफल 1:7:24 के अनुपात में है| संख्याओं का गुणनफल है?
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Question 1088968: sqrt(4x-3) = 2+sqrt(2x-5)
how to solve equations with two radicals


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Question 1088968: sqrt(4x-3) = 2+sqrt(2x-5)
how to solve equations with two radicals


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Question 1088968: sqrt(4x-3) = 2+sqrt(2x-5)
how to solve equations with two radicals


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Question 1088991: Simplify (2*9^1/3)/(1+3^1/3+9^1/3).
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Question 1089099: Why can't we rewrite the product as a whole radical, for instance sqrt%288%29+%2A++%28root%284%2C27%29%29, wherein it is an incorrect simplification that the answer is root%284%2C216%5E3%29? I believe that the answer should be this one 2sqrt%282%29%28root%284%2C27%29%29. Please give me an explanation for this one. Thank you
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Question 1089099: Why can't we rewrite the product as a whole radical, for instance sqrt%288%29+%2A++%28root%284%2C27%29%29, wherein it is an incorrect simplification that the answer is root%284%2C216%5E3%29? I believe that the answer should be this one 2sqrt%282%29%28root%284%2C27%29%29. Please give me an explanation for this one. Thank you
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Question 1089147: Simplify (2*cbrt(9))/(1+cbrt(3)+cbrt(9))
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Question 1089329: the longest side of right triangle is 2 more than the shortest side. the middle is 1 more than the shortest side. what are the length of the sides
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Question 1089372: I am very confused with how radical equations work...everything about them is confusing to me. I do know what a radical is, what the radicand, index and so forth is. I also know how to extract the square root and basic adding of radicals, but when it comes to equations I'm lost.
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Question 1089372: I am very confused with how radical equations work...everything about them is confusing to me. I do know what a radical is, what the radicand, index and so forth is. I also know how to extract the square root and basic adding of radicals, but when it comes to equations I'm lost.
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Question 1089742: /Users/jenna/Desktop/Quiz: 10 Evaluate: Simplifying Radicals & Solving Quadratics Equations—Graded Assignment.pdf
hey can you please help me??!!

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Question 1089743: https://cedu-spw-p06.austin.utexas.edu/canvas-files/ALG-1B-66502/unit08/lsn04/U08L04EvGA12.pdf\

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Question 1089761: What is the area of a rectangle with a base of 3x^2y^3 and a height of 2xy^2
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Question 1089762: What are the dimensions of a square whose area is 36x^2
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Question 1089762: What are the dimensions of a square whose area is 36x^2
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Question 1089760: in completing the square for the following problem, Jules and Vincent are trying to find their error as they are disagreeing on the answer. Describe the error(s) made in the process and solve the problem correctly. Upload your solution for your instructor to grade.
step 1: x^2+8x=0
step 2: x^2+8x+8=0+8
step 3: (x+4)^2=8
step 4: x+4=2\sqrt{2}
step 5: x=-4=-2\sqrt{2}

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Question 1089760: in completing the square for the following problem, Jules and Vincent are trying to find their error as they are disagreeing on the answer. Describe the error(s) made in the process and solve the problem correctly. Upload your solution for your instructor to grade.
step 1: x^2+8x=0
step 2: x^2+8x+8=0+8
step 3: (x+4)^2=8
step 4: x+4=2\sqrt{2}
step 5: x=-4=-2\sqrt{2}

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Question 1089944: radical of 40

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Question 1089944: radical of 40

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Question 1089838: Michelle is measuring the dimensions of her living room so she can install new flooring. She measures the length at 4√12 feet with her radical tape measure, and then measures the width at 3√8 feet.

2. Michelle decided she only wants to cover 3⁄4 of the room in the new flooring. Determine the area of flooring she will need to cover 3⁄4 of the room. Leave your answer as a simplified radical expression and include units.

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Question 1091021: How do you simplify +3+sqrt%2818%29+-+4+sqrt%2863%29+%2B+6+sqrt%2828%29+%2B+5+sqrt%282%29+ ?
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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