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

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Tutors Answer Your Questions about Radicals (FREE)


Question 234372: how do you solve equations containing decimals by dividing 12=1.6m?
Click here to see answer by edjones(7569) About Me 

Question 234517: how do you solve this : 1 / square root of 3x squared -5
Click here to see answer by nyc_function(2733) About Me 

Question 234715: how do i type square root!?

Click here to see answer by ankor@dixie-net.com(15622) About Me 

Question 235021: A dreaded word problem. This is out of the Algebra textbook 5th edition by Dugopolski. Chapter 8.3 page 550 #85. Here's the problem:
Erin was traveling across the desert on her bicycle. Before lunch she traveled 60 miles (mi); after lunch she traveled 46 miles. She put in 1 hour more after lunch than before lunch, but her speed was 4 mph slower than before. What was her speed before lunch and after lunch?
The answer is in the back of the book, and it is:
Before -5 + the square root of (265) or 11.3 mph;
After -9 + the square root of (265) or 7.3 mph
We are just completely confused about how to get the solution. We attempted to set it up in a distance=rate*time chart, but are not having any luck with that. Could you please show how to get a solution to this problem? Thank you very much in advance!!
Sandy :-)

Click here to see answer by josmiceli(9645) About Me 

Question 235060: EEK! I need help in solving this equation.
Simplify: a^1/2 . a^2/3 .a^-1/4. I know I need to simplify.Can someone explain the rule for mulitplying exponential expressions? Please

Click here to see answer by stanbon(57205) About Me 

Question 235274: Simplify and reduce to lowest terms
1/(√t-5)-3/(√t+5)

Click here to see answer by stanbon(57205) About Me 
Question 235274: Simplify and reduce to lowest terms
1/(√t-5)-3/(√t+5)

Click here to see answer by MathPro(14) About Me 

Question 235302: Solve for all real roots
(x-4)^2=36

Click here to see answer by jim_thompson5910(28476) About Me 
Question 235302: Solve for all real roots
(x-4)^2=36

Click here to see answer by MathPro(14) About Me 

Question 235835: please help me:>
1. 6 1/2
2. 4 2/3
3. (5x)2/5
4. 19 -1/2
5. a 1/3 x b 1/3
6. 4 2/3 x a 1/3
7. 16 3/7
8.4 7/3
9. x 3/5
10. 5x 5/4

Click here to see answer by jim_thompson5910(28476) About Me 

Question 235956: HELP!!! Radicals!!!!

what is 2 sq root x-1 + 2 sq root x+4= 5. Please explain steps

Click here to see answer by solver91311(16868) About Me 

Question 236218: radical 108 + 7 radical 27 - 5 radical 192
Click here to see answer by checkley77(12569) About Me 

Question 236148: please help to solve sqare root of 2x^-5y^-3/75x^-2y

Click here to see answer by checkley77(12569) About Me 

Question 236143: i need help solving binomils
Click here to see answer by Jeff Gordon(65) About Me 

Question 236317: I do not understand can you help?
Simplify the problem and write answers in exponential form.
3^4 + 2 * 3^4

Click here to see answer by stanbon(57205) About Me 

Question 236387: Multiply:
(3 sqrt 3 - 9 sqrt 6) (2 sqrt 3 -+ 6 sqrt 6)
I was using the FOIL method, but am not sure I did it correctly.
Is it 18 sqrt 6?

Click here to see answer by checkley77(12569) About Me 

Question 236495: I am just checking if I am doing this right, I am multiplying radicals
(3 sqrt 5 - 9 sqrt 3)(4 sqrt 5 + 12 sqrt 3).
I did foil and I came up with the answer -264. Is that right?
Thank you

Click here to see answer by Earlsdon(6287) About Me 
Question 236495: I am just checking if I am doing this right, I am multiplying radicals
(3 sqrt 5 - 9 sqrt 3)(4 sqrt 5 + 12 sqrt 3).
I did foil and I came up with the answer -264. Is that right?
Thank you

Click here to see answer by JimboP1977(308) About Me 

Question 236497: I am trying to rewrite with rational exponents.
(7
√4x^6 y)^3
I came up with 4x^6/7 y ^1/7
Did I do that right?

Click here to see answer by user_dude2008(1861) About Me 

Question 236685: Simplify A radical with an index of 3 and a radicand as 4/5
Click here to see answer by stanbon(57205) About Me 

Question 236918: how do you do radical expressions?
Click here to see answer by nyc_function(2733) About Me 

Question 236868: (1) evaluate to four significant digits using a calculator. 67^3/5


(2)simplyify and express your answer using positive exponents only. m^8m^-14

Click here to see answer by edjones(7569) About Me 

Question 237054: Alright,I need to simplify the equation 6sqrt2/3 + 6sqrt3/2 Do you make an improper fraction? I know the answer is 5sqrt6 but I just can't figure out how to get there. None of the examples in my book show adding or mixed numbers.
Thanks, I've tried about 15 times.

Click here to see answer by Alan3354(30935) About Me 

Question 237432: how do you solve 7/3 squared times 14/3 squared

Click here to see answer by jim_thompson5910(28476) About Me 

Question 237499: how do you simplify the square root of 30x^5y^8

Click here to see answer by checkley77(12569) About Me 

Question 237539: square root n^2/m^3
Click here to see answer by nyc_function(2733) About Me 

Question 238821: can you give me the steps for simplifying this expression?
5((x^8y^100)^3)-6xy((x^5y^7)^3)

Click here to see answer by stanbon(57205) About Me 

Question 239057: I need help with simplifying the radical expression:
54x(9thpower)(y to 11th power)..Thank you very much

Click here to see answer by Theo(3458) About Me 

Question 239066: simple radical form with no radicals in the denominator 1 over the squre root of 2
Click here to see answer by College Student(505) About Me 

Question 239445: Simplify the expression: square root of 36x4
Click here to see answer by solver91311(16868) About Me 

Question 239452: Use the quadratic formula to solve the equation. Simpplify solutions, if possible.
2x^2 + 4x = 5

Click here to see answer by solver91311(16868) About Me 

Question 239455: solve the equation by the method of your choice. simplify solutions, if possible.
3x^2 x 1
____ - __ = __
4 4 2

Click here to see answer by solver91311(16868) About Me 

Question 239580: the square root of 3 divide by 4 multiplied by the square root of 4 divided by 5
Click here to see answer by College Student(505) About Me 

Question 239920: Solve:
7√5 - 5√7 - √5 + √7

Click here to see answer by RAY100(1637) About Me 

Question 239924: Solve:
√7/9 - √7/25

Click here to see answer by RAY100(1637) About Me 

Question 239928: Simplify
√x^100

Click here to see answer by RAY100(1637) About Me 

Question 239927: Solve:
^3√24
^4√48
^3√24 - ^3√375
20^3√-81t^3 - 7^3√24t^3

Click here to see answer by vleith(2825) About Me 

Question 240720: solving an equation with a radical 6 outside the radical and x+3 inside to the fourth root = 15
Click here to see answer by solver91311(16868) About Me 

Question 240743: For the problem below, 1 is an extraneous solution and the solution is 2 and 9. True or false? why?
square root of 2x+9-square root of x+1=2

Click here to see answer by edjones(7569) About Me 

Question 240945: simplify the square root of 56 divided by the square root of 3
Click here to see answer by edjones(7569) About Me 

Question 241022: How do I add sqrt486 plus 2sqrt384?
The answer I have was 531,108
For sqrt49 +sqrt 9 I got an answer of 2,482, but I am not sure if this is right either.
I understand this when there is an exponent with it but I am not sure about these.

Click here to see answer by rapaljer(4667) About Me 

Question 241146: I have a question about the powers of "i". I am not understanding the facts about how "i" to the second power = blank or "i" to the 6th powers = blank and so fourth. Can you explain this procedure in detail and explain how it is used in the radical equation?

Click here to see answer by vleith(2825) About Me 

Question 240306: what is radical 1 over 7 times radical 7 over 11
Click here to see answer by Alan3354(30935) About Me 

Question 241284: 1. 2x^2-x=-6
2. Factor c^2+14c+49=
3. (Use radical exponents to simplify) 4 radical x^12
4. Factor. 144c^2 + 648cf +729f^2=
5. Factor. 6x^7-18x^6+42x^5

Click here to see answer by checkley77(12569) About Me 

Question 241468: Simplify: (square root of 3y^2)^6
Click here to see answer by edjones(7569) 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