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

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Question 1095268: how much xsquare -y square ? if x+y=66 xy=9
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Question 1095268: how much xsquare -y square ? if x+y=66 xy=9
Click here to see answer by ikleyn(53742) About Me 
Question 1095268: how much xsquare -y square ? if x+y=66 xy=9
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Question 1095268: how much xsquare -y square ? if x+y=66 xy=9
Click here to see answer by MathTherapy(10801) About Me 
Question 316943: simplify: sqrt (121) / (9)
a) sqrt (11) / sqrt (3)
b) 3 sqrt (11)
c) 11/3
d) sqrt (11) / (3)
Click here to see answer by MathTherapy(10801) About Me 
Question 1030250: I need help simplifying this expression:
sqrt%2824%2B8sqrt%285%29%29
I removed the common factor out of the square root to obtain 2sqrt%286%2B2sqrt%285%29%29, but the answer key says it is 2%2B2sqrt%285%29.
How is it possible? Am I missing out on a rule here?
Click here to see answer by greenestamps(13326) About Me 
Question 1030250: I need help simplifying this expression:
sqrt%2824%2B8sqrt%285%29%29
I removed the common factor out of the square root to obtain 2sqrt%286%2B2sqrt%285%29%29, but the answer key says it is 2%2B2sqrt%285%29.
How is it possible? Am I missing out on a rule here?
Click here to see answer by MathTherapy(10801) About Me 
Question 973976: what is (4- square root of 8) divided by (2+ square root of 8) simplified
Click here to see answer by MathTherapy(10801) About Me 
Question 78896: please help me simplify this problem?
sqrt75a%5E2/sqrt5
Click here to see answer by ikleyn(53742) About Me 
Question 78896: please help me simplify this problem?
sqrt75a%5E2/sqrt5
Click here to see answer by timofer(155) About Me 
Question 78896: please help me simplify this problem?
sqrt75a%5E2/sqrt5
Click here to see answer by MathTherapy(10801) About Me 
Question 669305: Please help me simplify this: sqrt(x^4y^7)
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Question 60849: solve for x by using the quadratic formula: 9x^2-6x+5=0
thanks so much
Click here to see answer by ikleyn(53742) About Me 
Question 60848: help on this please,,thanks
x+1= sqrt x+7
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Question 681800: I'm trying to prove that
sqrt%284+-+2+%2A+sqrt%283%29%29+%2B+sqrt%2812+-+6+%2A+sqrt%283%29%29+=+2
Click here to see answer by MathTherapy(10801) About Me 
Question 1107093: One pair of integers (x.y) solves +sqrt%28+4%2Asqrt%28+7+%29%2B11+%29=y%2Bsqrt%28+x+%29+, find x*y.
Click here to see answer by MathTherapy(10801) About Me 
Question 1124474: How would you simplify the equation:
Sqrt(17-12sqrt2) in the form
(a+bsqrt2)
Thank you.
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Question 263259: solve: x^5/6 + x^2/3-2x^1/2 =0
thanks!
Click here to see answer by ikleyn(53742) About Me 
Question 1094302: Solving by substitution with u
+x%5E2-3x-sqrt%28x%5E2-3x%29=2+
+u+=+sqrt%28x%5E2-3x%29+
+u%5E2+=+sqrt%28x%5E2-3x%29+=+x%5E2-3x+
creates quadratic = +u%5E2-u+=+2+
+u%5E2-u-2=0+
+%28u-2%29%28u%2B1%29+
u = 2,-1
going back and using those two outputs in +sqrt%28x%5E2-3x%29+
+sqrt%28%282%29%5E2-3%282%29%29+ and +sqrt%28%28-1%29%5E2-3%28-1%29%29+
+sqrt%284-6%29+ and +sqrt%281%2B3%29+
Finally, I get +sqrt%28-2%29+ and +sqrt%284%29+
But -2 can't be in a radical and would 4 turn into 2,-2 or just 2?
Click here to see answer by MathTherapy(10801) About Me 
Question 569284: solve the following radical: +sqrt+%28+3x+%29%2B+sqrt+%28+2x-1+%29+=+5+%2F+sqrt+%28+2x-1+%29+
Click here to see answer by MathTherapy(10801) About Me 
Question 864099: Can you show me how to Rationalize the denominator and simply the equation
6 / the square root of 2 - the square root of 3.
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Question 864097: Can you show me how to Rationalize the denominator and simply the equation the square root of 6 / the square root of 5 - the square root of 3.
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Question 707329: How would you solve this equation?
+sqrt+%28+2x+%29+=+sqrt+%28+3x%2B12+%29-2+
Click here to see answer by MathTherapy(10801) About Me 
Question 144143: Hello. Please help me solve this problem: I need to find the simplest radical form and the approximate answer of sqrt+%285%29-1%2Fx+=+sqrt+%285%29%2F2.
2%28sqrt%285%29-2%2Fx=sqrt%285%29
sqrt%285%29-2%2Fx=0
sqrt%285%29=2%2Fx
x%28sqrt%285%29%29=2
x=2%2Fsqrt%285%29
x = 0.8944
Click here to see answer by MathTherapy(10801) About Me 
Question 798582: Simplify if necessary. Then rationalize the denominator.
sqrt%282%2F3%29%2Asqrt%286%2F22%29
Click here to see answer by MathTherapy(10801) About Me 
Question 459722: Simplify each expression by rationalizing the denominator.
3/sqrt(7)
2sqrt(2)/sqrt(5)
3sqrt(2)/sqrt(6)
2sqrt(5)/sqrt(12)
Click here to see answer by MathTherapy(10801) About Me 
Question 904562: sqrt%284x%2B1%29-sqrt%282x%2B4%29=1
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Question 296793: Please help me solve this equation
4%2Bsqrt%2810-x%29=6%2Bsqrt%284-x%29
Click here to see answer by MathTherapy(10801) About Me 
Question 37745: Hi, I'm having trouble with this problem. Do you think you could help me?
+sqrt+6x%5E3++%2A++sqrt+150x%5E2+
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Question 729072: square root of x+7=square root of 2x-3 (+2) not under the square root)
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Question 519668: how do you solve the following:
sqrt%28x%2B4%29 + sqrt%282x-1%29 = sqrt%287x%2B1%29

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Question 701399: simplify +sqrt%2845%29-10%2Fsqrt%285%29+
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Question 993742: Hello. I am having an issue solving this problem and I look to you for help. My problem is:
6sqrt%2812%29-8sqrt%2850%29+9sqrt%2872%29. By using prime factorization, I know that 12 = 2^2*3
50 = 5^2*2
72 = 3^2*2^3
Now, I plug these terms back in and I get:
6%2A2sqrt%283%29-8%2A5sqrt%282%29+9%2A3%2A2sqrt%282%29 If I continue, I get:
12sqrt%283%29-40sqrt%282%29+54sqrt%282%29
The answer key shows that the answer should be
57sqrt%283%29-40sqrt%282%29 Can you see where I went wrong? I'm not coming up with the right answer.

Click here to see answer by MathTherapy(10801) About Me 
Question 1179144: For what values of c will x² +28x + c = 0 have no real solutions? Explain
Click here to see answer by ikleyn(53742) About Me 
Question 787079: Simplify the expression. Assume that all variables are positive
√x/5*√x/20
Click here to see answer by MathTherapy(10801) About Me 
Question 99475: Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression
-9-sqrt(108) dived by 3
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Question 293344: how would you solve this proof?
+%28sqrt%286%29-sqrt%282%29%29%2F4+=+sqrt%282-sqrt%283%29%29%2F2+
Click here to see answer by MathTherapy(10801) About Me 
Question 485164: Write the following expression as a radical and simplify if possible.
(-64)^4/3
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Question 732218: how do you do √50x√18?
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Question 732218: how do you do √50x√18?
Click here to see answer by ikleyn(53742) About Me 
Question 735358: Rationalize 2 divided by 1 minus the square root of 2
Click here to see answer by ikleyn(53742) About Me 
Question 736159: I am not sure how to work this problem out. (It asks for me to show my work)
x^5*x^√
Click here to see answer by ikleyn(53742) About Me 
Question 633567: Please help me solve, a=?, b=35, c= 37
Click here to see answer by mccravyedwin(420) About Me 
Question 633567: Please help me solve, a=?, b=35, c= 37
Click here to see answer by Edwin McCravy(20077) About Me 
Question 633567: Please help me solve, a=?, b=35, c= 37
Click here to see answer by ikleyn(53742) About Me 
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