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

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Question 468150: How do you divide radicals?
Like...2 to the square root of 6 divided by 3 to the square root of 18?

Click here to see answer by Alan3354(69443) About Me 

Question 468162: Rationalize the denominator: sqrt(x)/3+sqrt(x)
would like a step-by-step please & thank you!

Click here to see answer by Theo(13342) About Me 

Question 468186: Hello. Can you please help me?
I need to make v the subject of the following formula (Einstein's theory of relativity). It's a fraction involving m followed by a little O as numerator, with a radical in the denominator.
m= (mo)/ (radical around the following:) 1-(v/c)^2
Thank you so much!

Click here to see answer by edjones(8007) About Me 

Question 468322: Multiply, Simplify wherever possible
(v7 - v2)(v7+v2)
the v's are suppose to be square roots.

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468325: Find the following 3Vy^3 Assume that letters represent any real number
the v is suppose to be a square root symbol and ^ means raising to that power. the first 3 is suppose to be in the indentation of the square root, not directly to the side of it.

Click here to see answer by Alan3354(69443) About Me 

Question 468333: ass, Simplify by collecting like radical terms if possible, assuming that all expressions under radical represent nonnegative numbers
V3a + 6V12a^3
the v;s represent the square roots symbol and ^ means it is raising to that power

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468336: rewrite with rational exponents
(5V2x^6y)^3
the v is suppose to be a square root symbol and ^is raising to that certain power. The 5 is in that indentation of the square root, not directly to the side of it

Click here to see answer by ewatrrr(24785) About Me 

Question 468372: multiply:
(7+√3)(7-√3)

Click here to see answer by Alan3354(69443) About Me 

Question 468380: divide:
x^2-10x+21 over x^2-49 divided by x-3 over 5

Click here to see answer by ewatrrr(24785) About Me 

Question 468390: add:
6√2+5√2+√2

Click here to see answer by jorel1380(3719) About Me 

Question 468542: Multiply.
(7+√8)(7-√(8))=
(Simplify your answer. Type an exact answer, using radicals as needed.)

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468541: Find the following. Assume that x can represent any real number. Use absolute value notation when necessary.
√(25x^2)=

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468544: Add. Simplify by collecting like radical terms, if possible.
16√180 + 5√125
The answer is _____.

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468548: Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.
√7a + 6√(28a^3)=
(Simplify your answer. Type an exact answer using radicals as needed.)

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468577: Find the following.
root20:(-3)^20
Select the correct choice below and if necessary, fill in the answer box to complete your choice.
A. root20:(-3)^20 =
B. The root is not a real number.

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468561: Divide. Then simplify by taking roots, if possible.
〖49〗^(5/2)
The solution is___.
(Simplify your answer. Type an integer or fraction.)

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468635: Add or subtract. Simplify by collecting like radical terms, if possible.
6sqrt(3)-2sqrt(3)+7sqrt(3)=
(Simplify your answer. Type an exact answer, using radicals as needed.)

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468638: Simplify by taking roots of the numerator and denominator. Assume all variables represent positive numbers.
sqrt(64/y^2)=____

Click here to see answer by jorel1380(3719) About Me 

Question 468650: use the laws of exponente to simplify (5^7/10)(5^5/10)
Click here to see answer by Earlsdon(6294) About Me 

Question 468568: Solve the equation a²+b²=c² for b
suppose that an isosceles right triangle has a hypotenuese with length 30cm
I do not understand this equation or how to solve for b, when I have not been given a and c. I am confused on this.
Then next "What are the lengths of the triangle?"

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

Question 468683: simplify
3V-1
the v is a square root symbol, and the 3 is suppose to be in the indentation of the root, not directly to the side. Would the answer be that the root is not a real number? I thought if there is a negative inside the root, that is the answer, but I do not know

Click here to see answer by Theo(13342) About Me 

Question 468684: multiply
(V2)(-8V2+7)
the v's are suppose to be square root symbols

Click here to see answer by Theo(13342) About Me 

Question 468681: Divide Then simplify by taking roots, if possible Assume that all expressions under radical represent positive numbers
V63xy^3 / V9x
the v's are square root symbols and ^means it is raising to that power this is also a fraction, so it is the square root of 63xy^3 (numerator) over the square root of 9x (denominator)

Click here to see answer by Theo(13342) About Me 

Question 468751: What is the conjugate for the denominator? How can we rationalize this denominator? 4/2-√3. Thanks.
Click here to see answer by algebrahouse.com(1659) About Me 

Question 468766: Solve the following quadratic equations by completing the square.
x^2 + 4x - 12 = 0

Click here to see answer by algebrahouse.com(1659) About Me 

Question 468790: Could someone please help me with this? It's my final question on my final exam. I am somewhat stumped.
20th root outside the radical, inside is (-6)^20
Thanks so very much!!

Click here to see answer by ccs2011(207) About Me 

Question 468785: Could someone please help me with this? I believe I am doing it correct, however have a final exam and want to be certain.
In a right triangle , find the length of the side not given
b=1, c=square root 10.
I know to use the Pythagorean Theorem but I am coming up with an answer that is not a single digit number.
Thanks again!!

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 468934: A ladder 8ft long resting against a house makes a 60 degree angle with the ground.How far up the house does it reach? Give answer in terms with the radical in the numberator
Click here to see answer by stanbon(75887) About Me 

Question 469020: Use rational exponents to write root:4:(2) * root:2:(5) as a single radical expression.
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 469131: how do you solve the √1.25 and its solution?thanks=)
Click here to see answer by stanbon(75887) About Me 

Question 469147: Divide. Then simplify by taking roots, if possible.
(root:3:(375))/(root:3:(3))

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 469499: Solve the following problem: The diagonal of a square has a length of 8√2. Find the length of a side of the square.

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 469794: 3^sqrt 9m^7n^2 times 3^sqrt 3m^3n
Click here to see answer by sofiyac(983) About Me 

Question 469930: Find a quadratic equation for the solutions of 1/3 and 5


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Question 469937: Find a quadratic equation for the solutions of 2 and 8
(x-2)(x-8) = 0

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Question 470028: Solve the radical equation, and check all proposed solutions.

the square root of 5x +24 = x

Click here to see answer by sofiyac(983) About Me 

Question 469931: Solve 4w^-1/5=-8 where w is a real number.
Simplify your answer as much as possible. If mulitiple answers, seperate with comma.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 470197: Simplify
4^5/2

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 470631: A cylinderical can is designed to hold a volume of 1000 cm3.
If the radius is increased by 25%, what is the corresponding decrease in height so the volume is still 1000 cm3?
Could you please show all the steps?

Click here to see answer by Gogonati(855) About Me 
Question 470631: A cylinderical can is designed to hold a volume of 1000 cm3.
If the radius is increased by 25%, what is the corresponding decrease in height so the volume is still 1000 cm3?
Could you please show all the steps?

Click here to see answer by poliphob3.14(115) About Me 

Question 470679: multiply (2√6-4√2)(5√6 +10√2)
*****Note: Simplify your answer. type an exact answer, using radical as needed. Thank you!

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 470636: I'm have difficulty writing in the standard form (a+bi). please walk me though the problem. Thank you: ((1/3+ sqrt( 10 )/6 i))^2
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 471112: hello,I am stumped and tired..(-125)^4/3 thanks
Click here to see answer by ewatrrr(24785) About Me 

Question 471110: Please can someone help? I have no idea where to start, and please show me how u got the answers, thank you.
1. sqrt x^9z^2/18y^5

2. 2 sqrt x-3/sqrt x+5
3. (2^3 sqrt 40+^3 sqrt 48)(6^3 sqrt 4-^3 sqrt 32)

4. (x+4)^3

Click here to see answer by Alan3354(69443) About Me 

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