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

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Question 1111323: Simply the following leaving your answer in a surd form √300�50
Click here to see answer by KMST(5328)

Question 1112175: Harry has a triangular-shaped property that measures 48 m by 59 m by 85 m. Find the area of this land in square meters. Express the answer as a mixed radical in simplest form.
Click here to see answer by ikleyn(52781)

Question 1112256: What is 19536 as a radical in simplest form?
Click here to see answer by Boreal(15235)

Question 1112354: The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture?

Click here to see answer by stanbon(75887)

Question 1112682: If 8 baskets and 4 crates together hold 8 bushels of tomatoes, and 6 baskets and 8 crates together hold 9 3/4 bushels, what is the capacity of a basket? Of a crate?
Click here to see answer by josgarithmetic(39617)

Question 1112782: The sum of the digits of a two-digit number is 5. If the number is multiplied by 3 and 1 is taken from the result, the digits are reversed. Find the number.
Click here to see answer by rothauserc(4718)

Question 1112981: (b^10)^1/2

Click here to see answer by Alan3354(69443)

Question 1113111: One united states gold coin weighs 1/2 as much as another. If the combined weight of 3 of the smaller coins and 2 of the larger is exactly 118.755 grams, what is the weight of each?
Click here to see answer by josgarithmetic(39617)

Question 1113651: Solve for x:

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Question 1113692: If Rio coffee costs $5 a pound and Java cost $7.50 a pound, how many pounds of each must be bought to fill a 120-pound canister with a blend worth $7 a pound?
Click here to see answer by ikleyn(52781)

Question 1113722: I have two question one is what is 2^square root of 5y ^3
the second is what is x+y=12 if x= 2y what is x

and if you could give me examples or a website to help me study with
Click here to see answer by Alan3354(69443)

Question 1113774: A man finds that he can reach a certain town in 6 hours by traveling 240 miles on an interstate highway and then changing to local roads for 80 miles. He can also get there by traveling 270 miles on a different interstate then proceeding 40 miles on a local highway. This route saves 1/2 hour. If he averages x mph on interstates and y on local roads, find his average speed on the interstate and on local roads.
Click here to see answer by greenestamps(13200)

Question 1114319: Jonathan and Jose could build a shed, working together, in 6 1/2 hours; but Jonathan worked alone for 3 hours and was then joined by Jose, after which they finished the shed in 5 hours. If they were paid in proportion to what the amount of work each accomplished, how should $96 be divided between them?

Click here to see answer by Edwin McCravy(20055)

Question 1114318: When weighed in water; run loses .137 of its weight and copper .112 of its weight. If an alloy of tin and copper weighing 18 pounds loses 2.316 pounds when weighed in water, how many pounds of each are there in the piece?
Click here to see answer by ikleyn(52781)

Question 1114419: The perimeter of a rectangular city lot was 420 feet. The lot was divided into two equal lots having the same width and half the length of the original lot. Find the dimensions of the smaller lots if their perimeters were 260 feet each.
Click here to see answer by Fombitz(32388)

Question 1114568: sqrt 2x-5=1 x=?
Click here to see answer by josgarithmetic(39617)

Question 1115347: Simplify log4(64^x)
Click here to see answer by Alan3354(69443)

Question 1115553: what is the simplified form of the following expression? assume a and c are both greater than or equal to 0

options are:
a) 7ac(4th root (ab^2))
b) 7(4th root(ab^2))
c) -7(4th root(ab^2))
d) -7ac(4th root(ab^2))
I tried to simplify it but got 14c\sqrt[4]{a^5b^2}-7ac\sqrt[4]{ab^2} which is not an option, what am I doing wrong and what is the real answer?
Click here to see answer by greenestamps(13200)

Question 1115878: a sales man earns aweekly basic salary plus a sales commision of 20% of his total sales when his total weekly sales are birr 1000,this total salary for the week is 400.drive the formula describing th erelationship between total salary and sales?
Click here to see answer by Theo(13342)

Question 1115920: what is (27x)^(2/3)*(1024x)^(1/5) in radical form?

Click here to see answer by MathLover1(20849)

Question 1115920: what is (27x)^(2/3)*(1024x)^(1/5) in radical form?

Click here to see answer by greenestamps(13200)

Question 1115920: what is (27x)^(2/3)*(1024x)^(1/5) in radical form?

Click here to see answer by MathTherapy(10552)

Question 1116146: Consider the following example.
−20
= i
20
= i
4
5
= 2i
5
Write the following in terms of i and simplify.
−150

Click here to see answer by ikleyn(52781)

Question 1116203: For my question, I have to rationalize the denominator. Please help me to solve the equation is 17/sqrt 17 (17 over square root 17, I hope I entered that correctly). I have tried several times to do this right and I can't seem to grasp it :( Thank you in advance.
Click here to see answer by Alan3354(69443)

Question 1116214: Can someone please explain to me the steps for how to simply the following equation? I'm having a really hard time with this section of my homework. We're supposed to simplify:

Thank you so much in advance!
Click here to see answer by Alan3354(69443)

Question 1116280: Can you please explain to me step by step (so that I understand better) how to solve this problem? I keep trying and I keep getting the answer incorrect.
The problem is square root 25 DIVIDED by square root 36. I hope I wrote it correctly. Thank you in advance.

Click here to see answer by Alan3354(69443)

Question 1116482: Can someone please explain to me how to simplify this expression? I've tried a couple of times and I can't seem to get it. I apologize if this isn't written out correctly.
It's supposed to read with parenthesis around the problem under the square root sign.
Click here to see answer by Alan3354(69443)

Question 1116707: If and
,
find the value of .
Click here to see answer by Edwin McCravy(20055)

Question 1116841:
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Question 1117077: The surface area, S, of a cone of radius r and h can be found using the formula S=πr√r^2+h^2. What is the height of this cone?
S= 225 cm^2
r= 5 cm
Click here to see answer by Boreal(15235)

Question 1117268: Simplify.
(-5√3 divided by √6) (-√7 divided by 3√21)
Click here to see answer by josgarithmetic(39617)

Question 1117267: Solve each radical equation. Determine any restrictions on the values for the variables.
a) √5x-3 = √7x-12
b) √y-3= y-3
c) √7n+ 25 - n =1
Click here to see answer by josgarithmetic(39617)

Question 1117293: what two square roots multiply to get the product 12x^3y^2?
Click here to see answer by Alan3354(69443)

Question 1117293: what two square roots multiply to get the product 12x^3y^2?
Click here to see answer by josgarithmetic(39617)

Question 1117338: What multiplies to be -24 and adds to be -2?
Click here to see answer by josgarithmetic(39617)

Question 1118094: Why is the largest perfect square factor of 20x^7 4x^6? Specifically, why did the ^7 turn into a ^6? Getting stuck here!
Click here to see answer by ikleyn(52781)

Question 1118094: Why is the largest perfect square factor of 20x^7 4x^6? Specifically, why did the ^7 turn into a ^6? Getting stuck here!
Click here to see answer by math_helper(2461)

Question 1118094: Why is the largest perfect square factor of 20x^7 4x^6? Specifically, why did the ^7 turn into a ^6? Getting stuck here!
Click here to see answer by greenestamps(13200)

Question 1119072: The square root of 16 assume that x represents a positive number
Click here to see answer by ikleyn(52781)

Question 1119261: A quadratic equation is provided below, where r and s are constants. What are the solutions for x?
rx^2=(1/s)x+3
(a)x=(1/2sr)+-(squarerootof[(1/s^2)+3])/2r
(b)x=(1/2sr)+-(squarerootof[(-1/s^2)-12r])/2sr
(c)x=(s/2r)+-(squarerootof[(-1/s^2)-12r])/2r
(d)x=(s/2r)+-(sqarerootof[(s^2-12sr)])/2sr
Click here to see answer by josgarithmetic(39617)

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