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

Tutors Answer Your Questions about Radicals (FREE)

Question 870044: Please help me put in simplified radical form: x =[-5+-10 sqrt (32)]/20
Click here to see answer by ewatrrr(24785)

Question 870044: Please help me put in simplified radical form: x =[-5+-10 sqrt (32)]/20
Click here to see answer by KMST(5328)

Question 870476: Please help me solve this equation: 4sqrt(5) + 2sqrt(20)
Click here to see answer by stanbon(75887)

Question 870482: Please help me solve this equation: y= sqrt(12-y)
Click here to see answer by farmer4911(2)

Question 870482: Please help me solve this equation: y= sqrt(12-y)
Click here to see answer by stanbon(75887)

Question 870480: Please help me solve this equation: 3sqrt(50) - 3sqrt(32)
Click here to see answer by ewatrrr(24785)

Question 870479: Please help me solve this equation: sqrt(8) + sqrt(12) + sqrt(18)
Click here to see answer by Alan3354(69443)

Question 870479: Please help me solve this equation: sqrt(8) + sqrt(12) + sqrt(18)
Click here to see answer by jim_thompson5910(35256)

Question 870477: Please help me solve this equation: sqrt(1/5) - sqrt(5)
Click here to see answer by Fombitz(32388)

Question 870637: Square root 3x+3 plus square root x+2 = 5

Click here to see answer by jim_thompson5910(35256)

Question 870778: How to solve 2x + 5x=31
Click here to see answer by ewatrrr(24785)

Question 870778: How to solve 2x + 5x=31
Click here to see answer by skylark_04(1)

Question 871733: I have a problem on my study guide that i'm having trouble. The question is," M(5,3) is the midpoint of RS. If S has coordinates (9,12), find the coordinates of R." I know how to solve a midpoint problem I just don't know how to write this equation.
Click here to see answer by richwmiller(17219)

Question 872446: plz help me to solve this problem.
3x+1sqrt+1/sqrt3x+1=17/4
Click here to see answer by ewatrrr(24785)

Question 872585: square root(144x^9)-6sqaure root(x^13)+square root(x^13)
Click here to see answer by stanbon(75887)

Question 872876: Which expression is equivalent to Square root of 75x^3 - Square root of 27x^3 , if x > 0
Click here to see answer by ewatrrr(24785)

Question 873114: Simplify and leave answer in radical form
6sqrt125
Click here to see answer by mananth(16946)

Question 873144: Please help me solve this equation: .
Click here to see answer by Edwin McCravy(20055)

Question 873360: square root of the quantity x minus 5 is less than 7.
Click here to see answer by Fombitz(32388)

Question 873460: I need help with this question:
If you could give a explanation with steps would be appreciated!
Click here to see answer by Fombitz(32388)

Question 873837: 2/3sqrt(49t^2)*3/4sqrt(10t2)
I am so confused. Could someone please show/tell me step by step solution. Please and Thank you
Click here to see answer by mananth(16946)

Question 873939: How do you solve 3 times the square root of 20 times T to the 6th power?
Click here to see answer by Fombitz(32388)

Question 874057: Please note, am NOT seeking answer to following problem (already know it), just have a question regarding the properties to evaluate correctly.
Problem: (8/27)^-(2/3)
1) rewrite as 1/(8/27)^(2/3)
2) rewrite as 1/(thirdroot(8/27))^2
If above is correct so far, here's my question:
why would it be incorrect to write 1/(thirdroot((8/27)^2)?

Click here to see answer by rothauserc(4718)

Question 874139: I don't understand why simplifying 8/7sqrt2 becomes 4sqrt2/7; I thought it would become 8sqrt2/7.
What am I not understanding about rationalizing denominators?
Click here to see answer by jim_thompson5910(35256)

Question 874543: I have done this chapter over completely 5 times now and still I am not getting the why of some of the things on radicals. I will send my questions in seperate emails but her is one problem (I'm teaching myself algebra so I have no teacher to ask):
Simplify:
radical 48 over radical 18
So I simplified by dividing by 6 which gave me radical 8 over radical 3
then I broke down radical 8 into radical (2*4)and left the radical 3 as it is
then I took the radical four and made it into a whole 2 with a radical 2 and placed it over the radical 3 as my answer.
However my book says that is wrong. In the back where the answers are it says when I got radical 8 over radical 3 I should have then multiplied radical 3 to both the numerator and denominator giving me radical 24 over the whole number 3
then break 24 down into radical (4*6) over 3 which then would have given me 2 radical 6 over 3.
Why should I have done the multiplying at that stage instead of breaking the 8 into radical (2*4)?
Click here to see answer by richwmiller(17219)

Question 874778: Sqrt (3+2) + Sqrt (2x-1)= 5

Click here to see answer by ewatrrr(24785)

Question 874864: Sqrt(5x+1)-sqrt(x)=5
Click here to see answer by jim_thompson5910(35256)

Question 875261: How do you convert a rational exponent to a radical?
Click here to see answer by richard1234(7193)

Question 875326: An object 3.9 feet tall casts a shadow that is 11.7 feet long. How long in feet would the shadow be for an object which is 12.3 feet tall?
1. 4.5 ft.
2. 4.1 ft.
3. 20.1 ft.
4. 36.9 ft.

Click here to see answer by KMST(5328)

Question 875938: Need help square root 250x^9 y^4, I understand the 250 25x10 and y^4 is y^2 but can't figure out the x^9
Click here to see answer by KMST(5328)

Question 876153: does the average cost function C = 15 + 125/x have a horizontal asymptote? If so, what is the horizontal asymptote equation?
Click here to see answer by josgarithmetic(39617)

Question 876293: write the following in radical form.
1) x^(2/3)y^(1/3)
2)x^(3/5)y^(4/5)
9^3/2
if you can show me how you got the answers i'd love you forever!!!!
Click here to see answer by ewatrrr(24785)

Question 876426: It would be greatly appreciated if you would be able to help me with:
√70 � √10 = ?
I've made an attempt at rationalizing √10 to obtain √700/10. I'm not sure what to do from there.
Thanks for the help!
Click here to see answer by jim_thompson5910(35256)

Question 876455: I need help setting this up- I have no ideas on this one.
"An old water pipe is to be replaced by a new one so that twice as much water can flow through the pipe. What is the ratio of the radius of the new pipe to that of the old pipe?"
Click here to see answer by Alan3354(69443)

Question 876474: Please help me solve: 5sqrt8 divided by 5sqrt4
Thank you!!
Click here to see answer by mananth(16946)

Question 876515: I am totally confused with this problem:
21 / sqrt 2b
21 divided by the square root of 2b

Click here to see answer by josgarithmetic(39617)

Question 876667: given that y varies directly with x, and x=7 when y=63, find y when x=20
Click here to see answer by JPereyra58(1)

Question 876921: x2 2x 1=0
Click here to see answer by alexlove054@gmail.com(10)

Question 876977: c=√(a^2+b^2 ) Solve for b
Click here to see answer by josgarithmetic(39617)

Question 877580: Please help me solve this equation: sqrt (x-3)=25
Click here to see answer by jim_thompson5910(35256)

Question 877641: Please help me solve this problem: sqrt (29-x)= x+1
Click here to see answer by josgarithmetic(39617)

Question 877818: Describe the difference between a rational and irrational number in your own words and give an example of each.
Click here to see answer by richard1234(7193)

Question 877822: The current I (in amps), the power P (in watts), and the resistance R (in ohms) are related by the formula
I = radical over p over r

What current is needed for a 2,700-watt hair dryer if the resistance is 36 ohms? First give the exact answer, expressed as a simplified radical expression.
I = amps

Then give an approximation, rounded to the nearest tenth.
I = amps

Click here to see answer by Alan3354(69443)

Question 877898: Square root of 7x-1 = square root of 5x + 3
Click here to see answer by Alan3354(69443)

Question 878284: how do you change (5x)^-5/4 into radical form
Click here to see answer by ewatrrr(24785)

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