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

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Question 1119299: Variable in the Radicand?
I've been staring at this for just about an hour now, and for some reason my brain just won't process it. I'd love some help on this!
Look at the following expression. Are there any values of x for which the expression is not defined under the set of real numbers? Explain your reasoning.
4/ square root of (x+2)
Rewrite the following expression by rationalizing the denominator.
4/ square root of (x+2)

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Question 1119700: April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t) = -16t2 + 64t + 34, where t is the time is seconds. What is the maximum height of the arrow?
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Question 1119700: April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t) = -16t2 + 64t + 34, where t is the time is seconds. What is the maximum height of the arrow?
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Question 1119842: These radical expressions confused me, the question requires me to write whether the expression is irrational or rational.
"Determine whether each of the following is rational or irrational:
a) square root of 2 + square root of 50
b)C=2(pi symbol)r, evaluated for r= n to the power of negative 1"
Thank you!

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Question 1119842: These radical expressions confused me, the question requires me to write whether the expression is irrational or rational.
"Determine whether each of the following is rational or irrational:
a) square root of 2 + square root of 50
b)C=2(pi symbol)r, evaluated for r= n to the power of negative 1"
Thank you!

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Question 1119851: Im not quite understanding this question also. x^(5/2)−12x^(5/4)+36=0
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Question 1119850: Im not quite understanding this question. x^−2+15x^-1+56=0
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Question 1119879: 3. The time for a swing to move forward and backward can be determined by the formula t=2 pie square toot l/9.8 T represents the time, in seconds, taken by the swing to move through one complete cycle (forward and back) and L represents the length of the rope supporting the swing.

Determine the length of the rope supporting a swing that takes 3.4 seconds to move through one complete cycle. Show all steps and round the answer to the nearest tenth of a metre.

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Question 1119881: In 1971 there were 194, 105 females participated in high school sports. since them that number has increased by 8.5% per year. estimate the number participating in 2015. round to the nearest whole number.
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Question 1119881: In 1971 there were 194, 105 females participated in high school sports. since them that number has increased by 8.5% per year. estimate the number participating in 2015. round to the nearest whole number.
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Question 1120650: 1.) Explain the relationship between radical equations and complex numbers. What are the most important things to keep in mind when working with radical equations and complex numbers?
2.) We know that the square root of -1 is i. Going a bit further: what is the square root of i? [Hint: the square root of i will be a complex number, of the form a + bi. So, (a+bi)*(a+bi) = i. FOIL the left side, come up with equations relating a and b, and see if you can solve the system.

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Question 1120687: use radical notation to rewrite the expression. simplify if possible:
(16)^3/4 + (-125)^2/3

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Question 1121168: solve the equation and show the check of the potential answer(s). if any answers are extraneous solutions, state this on your answer sheet.
p=4+square root(4p-11)

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Question 1121168: solve the equation and show the check of the potential answer(s). if any answers are extraneous solutions, state this on your answer sheet.
p=4+square root(4p-11)

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Question 1121513: Lincoln Financial Group Privacy Policy

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Question 1121557: Rationalize the function and give its domain in interval notation
+G%28X%29+=+%284%29%2F%283-sqrt%28x-2%29%29+
I’m trying to review and it would be really helpful if someone could help me with this!

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Question 1122159: find the radical value of
whole square root of 1+2 square root 1+3 square root 1+4 square root 1+...



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Question 1122159: find the radical value of
whole square root of 1+2 square root 1+3 square root 1+4 square root 1+...



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Question 1122375: Find the value ok kso that the equation 3x^2-(5+k)x - 17 = 0 will have equal roots roots..
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Question 1122390: what equation is equal to 5sqrt 2 over sqrt of 13
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Question 1122390: what equation is equal to 5sqrt 2 over sqrt of 13
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Question 1122391: simplify square root 16n/m^3
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Question 1122391: simplify square root 16n/m^3
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Question 1122395: what is the expression in rational exponent form 3sqrt5xy^2
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Question 1122394: what is the expression in radical form (2mn^2n)3/2
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Question 1122396: what is the expression (2m^2n) 3/2 fraction in radical form



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Question 1122542:
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Question 1122670: what is the expression(2m^2n)3/2 in radical form
1.)3sqrt4m^2n^2
2.)sqrt2m^6n^3
3.)sqrt8m^6n^3
4.)3sqrt4m^4n^2

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Question 1122673: what is the expression in rational exponent form?
3sqrt5xy^2
1.)5xy2/3
2.)(5xy^2)1/3
3.)(5xy)2/3
4.)(5xy^2)2/3

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Question 1122849: Simplify sqrt 2/9 minus 3sqrt8/9 plus sqrt32/9
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Question 1122850: Simplify 2sqrt50 plus 3sqrt72 minus sqrt32
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Question 1122880: 2x^(3)+7x^(2)+8x+3=0
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Question 1123072: Which expression is equal to 5/sqrt13
a.)5sqrt15/13
b.)sqrt5/13
c.)25/13
d.)sqrt65/13

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Question 1123068: 1.)which expression is equal to 2sqrt 54 minus 4sqrt24?
a.)-11sqrt6
b.)-sqrt6
c.)-2sqrt6
d.)sqrt6
2.)Simplify 5sqrt12xm^3
a.)10m^3sqrt3x
b.)60m^3sqrtx
c.)60sqrtxm^3
d.)10msqrt3xm

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Question 1124039:
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Question 1124474: How would you simplify the equation:
Sqrt(17-12sqrt2) in the form
(a+bsqrt2)
Thank you.

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Question 1124474: How would you simplify the equation:
Sqrt(17-12sqrt2) in the form
(a+bsqrt2)
Thank you.

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Question 1124474: How would you simplify the equation:
Sqrt(17-12sqrt2) in the form
(a+bsqrt2)
Thank you.

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Question 1124907: Help needed please. Need to simplify. x and y represent non-negative real numbers.
∛((-27y^18)/(81x^6 ))
When I multi[ply by the conjugate to find the answer, as shown below, I think I'm messing up.

-∛y^6/∛3x^2(∛3x^2/∛3x^2)

Is this correct? For some reason this area of study isn't clicking.
Advice on how to go about solving would be greatly appreciated.
Thank you!

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Question 1124962: I am asked to perform the indicated operations, and simplify; however, I don't believe this question can be simplified. Am I wrong?
(√2x-5)^2
I assume the only way to go about this is to break it apart:
(√2x-5)(√2x-5) but this only puts it back together.
Am I missing something? I cant believe they would ask a question without an answer.
Thank you!

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Question 1124962: I am asked to perform the indicated operations, and simplify; however, I don't believe this question can be simplified. Am I wrong?
(√2x-5)^2
I assume the only way to go about this is to break it apart:
(√2x-5)(√2x-5) but this only puts it back together.
Am I missing something? I cant believe they would ask a question without an answer.
Thank you!

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Question 1125162: The domain of the function
f(x)=sqrt(x^2-13x+36) consists of one or more of the following intervals (-∞,A],[A,B],[B,∞) where A Find A
Find B
for each interval answer yes or no to shelter the interval is included in the solution.
(-∞,A]
[A,B]
[B,∞)

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Question 1126716: To determine the size of a​ park's moose​ population, naturalists catch
63 ​moose, tag​ them, and then set them free. Months later
20 moose are​ caught, of which 15 have tags. Estimate the size of the moose population.

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Question 1126899: what is the conjugate? a-the square root of a - 1
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Question 1126899: what is the conjugate? a-the square root of a - 1
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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