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

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Question 904562: sqrt%284x%2B1%29-sqrt%282x%2B4%29=1
Click here to see answer by MathTherapy(10719) About Me 

Question 296793: Please help me solve this equation
4%2Bsqrt%2810-x%29=6%2Bsqrt%284-x%29

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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(10719) 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(53618) About Me 

Question 787079: Simplify the expression. Assume that all variables are positive
√x/5*√x/20

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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+

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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(53618) About Me 

Question 735358: Rationalize 2 divided by 1 minus the square root of 2
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Question 736159: I am not sure how to work this problem out. (It asks for me to show my work)
x^5*x^√

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Question 633567: Please help me solve, a=?, b=35, c= 37
Click here to see answer by mccravyedwin(419) 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(53618) About Me 

Question 479289: Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression.
+sqrt+864x%5E2+
I know the square root of 864 is 12 sqrt 6, but I don't know what to do with the x^2.

Click here to see answer by greenestamps(13295) About Me 
Question 479289: Hi. Here is the problem I'm stuck on. The math problem says to simplify the expression.
+sqrt+864x%5E2+
I know the square root of 864 is 12 sqrt 6, but I don't know what to do with the x^2.

Click here to see answer by ikleyn(53618) About Me 

Question 487734: How would you put this into radical form: (8x)2/3.

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Question 487734: How would you put this into radical form: (8x)2/3.

Click here to see answer by ikleyn(53618) About Me 

Question 1209888: Compute
\frac{\{\sqrt{3}\} - 4 \{\sqrt{5}\}}{\{\sqrt{3}\}^2 + \{\sqrt{2}\}^2}.

Click here to see answer by CPhill(2189) About Me 

Question 1209873: Find all x such that
sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20.

Click here to see answer by ikleyn(53618) About Me 
Question 1209873: Find all x such that
sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20.

Click here to see answer by CPhill(2189) About Me 

Question 1209872: Simplify \frac{6 \sqrt{2]}{\sqrt{2} - \sqrt{3} - \sqrt{5}}
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Question 1209867: Express 2 + sqrt(2) + 1/(2 + sqrt(3)) + 1/(sqrt(5) - 2) in simplest form.
Click here to see answer by Edwin McCravy(20077) About Me 

Question 1209657: Determine the sum of all real numbers x satisfying
(x^2 - 6x + 4)(x^2 - 8x + 5) = 1.

Click here to see answer by proyaop(69) About Me 

Question 1209395: Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{42} +\sqrt{45}} + \frac{1}{\sqrt{45} + \sqrt{49}}

Click here to see answer by ikleyn(53618) About Me 

Question 1209233: Simplify 1/(sqrt(2) + 2 + sqrt(3)) + 1/(sqrt(2) - 2 - sqrt(3)).
Click here to see answer by Edwin McCravy(20077) About Me 

Question 1209030: Simply sqrt(2) \cdot sqrt(6) \cdot sqrt(110) \cdot sqrt(47) \cdot sqrt(52) \cdot sqrt(550).
Click here to see answer by greenestamps(13295) About Me 
Question 1209030: Simply sqrt(2) \cdot sqrt(6) \cdot sqrt(110) \cdot sqrt(47) \cdot sqrt(52) \cdot sqrt(550).
Click here to see answer by yurtman(42) About Me 

Question 1209124: Simplify the expression
\frac{3}{\sqrt{2}} * \frac{1}{\sqrt{8}} * \frac{6}{\sqrt{32}}.

Click here to see answer by mccravyedwin(419) About Me 

Question 1209125: Simplify the expression
\frac{1}{\sqrt{36} - \sqrt{27}} - \frac{1}{\sqrt{27}} - \sqrt{18} + \frac{1}{\sqrt{18}} - \sqrt{9}.

Click here to see answer by mccravyedwin(419) About Me 

Question 1209031: Simplify sqrt(17) * sqrt(12) * sqrt(16) * sqrt(85) * sqrt(18) * sqrt(51).
Click here to see answer by greenestamps(13295) About Me 

Question 1209033: Evaluate the following expression:
\left( \frac{16}{9} \right)^{2/3} \cdot \left( \frac{4}{3} \right)^{3/4} \cdot \left( \frac{81}{2} \right)^{5/3} \cdot \left( \frac{27}{2} \right)^{1/12} \cdot \left( \frac{1}{9} \right)^{1/4}

Click here to see answer by greenestamps(13295) About Me 

Question 1209005: What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer?

Click here to see answer by ikleyn(53618) About Me 

Question 1208839: Find the real solutions of the radical equation.

sqrt{(10+ 3•sqrt{x})} = sqrt{x}

Note: (10 + 3•sqrt{x}) lies inside a bigger radicand.

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1208840: Find the real solutions of the radical equation.

x^(3/4) - 9[x^(1/4)] = 0

Click here to see answer by josgarithmetic(39736) About Me 

Question 1208758: Find an approximation for squareRoot17 without a calculator. Round to nearest thousandth.
Click here to see answer by math_tutor2020(3832) About Me 

Question 1208223: simplify sqrt(-42) by sqrt(-6)

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1207633: Find the real solutions of each equation. Use a calculator to express any solutions rounded to two decimal places.

1. x%5E4+%2B+%28x%5E2%29%2Asqrt%282%29+-+2+=+0

2. pi%281+%2B+r%29%5E2+=+2+%2B+pi%281+%2B+r%29

Click here to see answer by semsee45(1) About Me 

Question 1207665: Find the real solutions by factoring.
x(x^2 - 3x)^(1/3) + 2(x^2 - 3x)^(4/3) = 0
I factored out (x^2 - 3x)^(1/3).
(x^2 - 3x)^(1/3)[x + 2(x^2 - 3x)^(4/9)]
Stuck here....

Click here to see answer by MathTherapy(10719) About Me 

Question 1207658: Find the real solutions of the equation.
(5x^2 - 6)^(1/4) = x
I found x to be -sqrt{6} and sqrt{6}.
The textbook answer is x = sqrt{2} and x = sqrt{3}.
Help.

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