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

Tutors Answer Your Questions about Radicals (FREE)

Question 737182: I need help solving a complicated racial
(sqrt(5) - sqrt(10)) / (sqrt(5) + sqrt(10))
Click here to see answer by lwsshak3(11628)

Question 737343: How do I simplify sqrt 8x^3y^2? That whole expression is under the radical. I came up with 2xy sqrt 2x, but the answer sheet says that the correct answer is 2 sqrt 2x∙xy. Can you give me a full explanation on how to solve this? Thank you in advance.
Click here to see answer by lwsshak3(11628)

Question 737594: sqrt 72 * sqrt 48
Click here to see answer by MathLover1(20849)

Question 737630: sqrt3-sqrt6/sqrt3-sqrt6
Step by Step please thank you
Click here to see answer by rothauserc(4718)

Question 737647: Solve the radical equation. sqrt(3x+4)=2+ sqrt(x)
This will usually involve squaring each side twice.
I don't know how to resolve this, can you please give an explanation as to how to perform this?
Click here to see answer by josgarithmetic(39616)

Question 739031: What is 3 radical 7 minus 3 radical 7?
Click here to see answer by MathLover1(20849)

Question 739509: Factor 9w^3-12x
Click here to see answer by Alan3354(69443)

Question 739769: how do you solve 3 = one fourth times the square root of (3x + 30) ?
Click here to see answer by MathLover1(20849)

Question 739855: please help. the diagional of a rectangle measures 20cm. the width of the rectangel is 12 cm. find the length of the rectangle
Click here to see answer by jim_thompson5910(35256)

Question 739946: Solve by using the square root property.
2(3x-2)^2-10=0
Click here to see answer by lwsshak3(11628)

Question 740283: I need to solve for x, and our teacher wants us to get the same base but I can't figure how to get 1/8 to equal 2 without changing the value. Help!
2^(3x-1)=(1/8)^x
Click here to see answer by josgarithmetic(39616)

Question 740707: will you please help me with my equation?
Click here to see answer by josmiceli(19441)

Question 740817: What is the slop-intercept form of the equation for the line that passes through (6,-9) and (-5, 5)
Click here to see answer by stanbon(75887)

Question 740989: Hi, would you please help.use the square root property to solve the equation. t^2=45.

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

Question 741338: Please help me solve this problem.
For all x > 0 and y > 0, what is this radical expression "square root x over 3 square root x - square root y?"
Sorry, I don't have the square root sign or symbol on my keyboard to write out the problem.
Click here to see answer by rothauserc(4718)

Question 741525: Can you please help me solve this equation:
Click here to see answer by MathLover1(20849)

Question 741525: Can you please help me solve this equation:
Click here to see answer by rothauserc(4718)

Question 741628: I need to solve the equation of
1 2 -2y
-- - --- = -------
y+2 y-3 y^2-y-6
I get an answer of y=7 is this answer correct?
also i have another answer that am not too sure about
1 a 2
--- - ----- = ----
a+3 a^2-9 3-a
my answer is -3=2 not so sure about this one either..
Could someone please check if my answers are correct, and could guide me on how to do them if they are wrong.
Thank you!
Click here to see answer by rapaljer(4671)

Question 742042: Rationalize each denominator

___________

Click here to see answer by stanbon(75887)

Question 742094:
Click here to see answer by mananth(16946)

Question 742096:
Click here to see answer by KMST(5328)

Question 742194: 512m to the third power
Click here to see answer by Alan3354(69443)

Question 742097:
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Question 742374: what is the answer to 4 radical 2 + radical 10 over 8 radical 2 - radical 10

Click here to see answer by MathLover1(20849)

Question 742525: How you simplify a radical such as √14/9?
Click here to see answer by checkley79(3341)

Question 742567: Can you show me the process of solving this equation:
((cube root of 6) * (fourth root of 6))^12
Click here to see answer by stanbon(75887)

Question 742600: Simplify the square root of 28x^14
Click here to see answer by stanbon(75887)

Question 742836: what is radical 5x-4=6 what is x?
Click here to see answer by rfer(16322)

Question 742830: Solve

Click here to see answer by MathLover1(20849)

Question 742835: Solve
If f(x)= and g(x)=-2,find any x for which f(x)=g(x)
Click here to see answer by MathLover1(20849)

Question 743473: find the distance between (1,-3) and (-2,6). express as a radical or a number rounded to the nearest hundredth.
Click here to see answer by jim_thompson5910(35256)

Question 743463: Please help me solve this problem.
For all x > 0 and y > 0, what is this radical expression Sqrt(x) / 3 sqrt(x) - Sqrt(y) equivalent to?
Click here to see answer by rothauserc(4718)

Question 743712: Perform the indicated operation and simplify. Write each answer in the form a+bi.

Click here to see answer by mananth(16946)

Question 743973: What's the answer 4th square root of 5600 all to the power of 3?

Click here to see answer by solver91311(24713)

Question 744018: Rationalizing the denominator of a radical expression using conjugates
√11-√3/√11+√3
I tried working the problem out but I am unsure about the foiling portion. This is what I have so far.
=√11-√3 * √11-√3/√11+√3 * √11-√3
=(√11)^2-√33-√33+(√3)^2/(√11)^2-√33+√33-(√3)^2
=11-2√33+3/11-3
=14-2√33/8
This is where I get stuck. I checked my answer with a calculator and the 2 is suppose to disappear but I don't understand why.
Click here to see answer by solver91311(24713)

Question 744155: Write a quadratic equation in the form ax^2+bx+c=o, having the roots -2 and 5.
I set each root to 0, coming up with (x+2)(x-5). I then foiled them coming up with x^2-3x-10=0. Correct solving method?
Thank You...
Click here to see answer by KMST(5328)

Question 744470: Need guidance with division. 2/2*sqrt(2)-1
Do I divide by the denominator?
Thank you!
Click here to see answer by mananth(16946)

Question 744607: Find the variation constant and an equation of variation where y varies directly as x and y=24 when x=8
Click here to see answer by Cromlix(4381)

Question 745290: what is 3 square root of 2 + square root of 8
Click here to see answer by tommyt3rd(5050)

Question 745458: (√7+√3)(6+√8)
Click here to see answer by stanbon(75887)

Question 745913: whats (spuare root of x + radical 3) times ( square root of x + 2 radical 3)
Click here to see answer by stanbon(75887)

Question 746041: please help me solve this equation 63b^2
Click here to see answer by Alan3354(69443)

Question 746432: what is the vertex of the following math problem? $what+is+the+vertex+of+the+following+math+problem%3F+$ y = -x^2 - 4x - 3
Click here to see answer by stanbon(75887)

Question 746432: what is the vertex of the following math problem? $what+is+the+vertex+of+the+following+math+problem%3F+$ y = -x^2 - 4x - 3
Click here to see answer by tommyt3rd(5050)

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