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

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Question 155419This question is from textbook Introductory Algebra
: √(2^109 ) √(x^306 ) √(x^11 )
This problem says multiply and them simplify by factoring.
I need help on this one. My answer is not getting it simplified
This question is from textbook Introductory Algebra
: √(2^109 ) √(x^306 ) √(x^11 )
This problem says multiply and them simplify by factoring.
I need help on this one. My answer is not getting it simplified

Click here to see answer by stanbon(18046) About Me 

Question 155424This question is from textbook Introductory Algebra
: (4-√3)/(6+√y)
It says to rationalize the demoniator
Im having a little trouble with it
This question is from textbook Introductory Algebra
: (4-√3)/(6+√y)
It says to rationalize the demoniator
Im having a little trouble with it

Click here to see answer by stanbon(18046) About Me 

Question 155431This question is from textbook Algebra and Trigonometry
: Please find the real solutions if any of each equation. Use any method.
x^2+sqrt(2x)=1/2
This question is from textbook Algebra and Trigonometry
: Please find the real solutions if any of each equation. Use any method.
x^2+sqrt(2x)=1/2

Click here to see answer by stanbon(18046) About Me 

Question 155421This question is from textbook Introductory Algebra
: √(16a^4 b^6 )/√(128a^6 b^6 )
It says to rationalize the demoninator. I wasnt sure how b^6cancels out

Thanks
This question is from textbook Introductory Algebra
: √(16a^4 b^6 )/√(128a^6 b^6 )
It says to rationalize the demoninator. I wasnt sure how b^6cancels out

Thanks

Click here to see answer by stanbon(18046) About Me 

Question 155425This question is from textbook Introductory Algebra
: 3⁄(5 √(24 ))+2⁄(5 √150)-√96
Add or subtract as indicated.
This question is from textbook Introductory Algebra
: 3⁄(5 √(24 ))+2⁄(5 √150)-√96
Add or subtract as indicated.

Click here to see answer by stanbon(18046) About Me 

Question 155420This question is from textbook Introductory Algebra
: Im stuck on this problem.
It says solve
12/√(5x+6)=√(2x+5)
Thanks so much
This question is from textbook Introductory Algebra
: Im stuck on this problem.
It says solve
12/√(5x+6)=√(2x+5)
Thanks so much

Click here to see answer by nerdybill(465) About Me 
Question 155420This question is from textbook Introductory Algebra
: Im stuck on this problem.
It says solve
12/√(5x+6)=√(2x+5)
Thanks so much
This question is from textbook Introductory Algebra
: Im stuck on this problem.
It says solve
12/√(5x+6)=√(2x+5)
Thanks so much

Click here to see answer by Earlsdon(3516) About Me 

Question 155344: 3 square root sign 64x7 divided by 3 square root sign 4x: 3 square root sign 64x7 divided by 3 square root sign 4x
Click here to see answer by checkley77(1749) About Me 

Question 155346: 3 square root sign 64x7 divided by 3 square root sign 4x: 3 square root sign 64x7 divided by 3 square root sign 4x
Click here to see answer by checkley77(1749) About Me 

Question 155287: Alright here is a tough one that I have been trying for an hour and can't seem to figure out.
(x-6)^2+(51-x)^2=9
Problem seemed easy enough but I can't see to solve for x and when I isolate an equation on one side I end up getting huge numbers that are unworkable
Thanks for the help
: Alright here is a tough one that I have been trying for an hour and can't seem to figure out.
(x-6)^2+(51-x)^2=9
Problem seemed easy enough but I can't see to solve for x and when I isolate an equation on one side I end up getting huge numbers that are unworkable
Thanks for the help

Click here to see answer by scott8148(2486) About Me 
Question 155287: Alright here is a tough one that I have been trying for an hour and can't seem to figure out.
(x-6)^2+(51-x)^2=9
Problem seemed easy enough but I can't see to solve for x and when I isolate an equation on one side I end up getting huge numbers that are unworkable
Thanks for the help
: Alright here is a tough one that I have been trying for an hour and can't seem to figure out.
(x-6)^2+(51-x)^2=9
Problem seemed easy enough but I can't see to solve for x and when I isolate an equation on one side I end up getting huge numbers that are unworkable
Thanks for the help

Click here to see answer by Earlsdon(3516) About Me 
Question 155287: Alright here is a tough one that I have been trying for an hour and can't seem to figure out.
(x-6)^2+(51-x)^2=9
Problem seemed easy enough but I can't see to solve for x and when I isolate an equation on one side I end up getting huge numbers that are unworkable
Thanks for the help
: Alright here is a tough one that I have been trying for an hour and can't seem to figure out.
(x-6)^2+(51-x)^2=9
Problem seemed easy enough but I can't see to solve for x and when I isolate an equation on one side I end up getting huge numbers that are unworkable
Thanks for the help

Click here to see answer by checkley77(1749) About Me 

Question 155015: The difference between the square of a positive number and five times the number is 36. Find the number.: The difference between the square of a positive number and five times the number is 36. Find the number.
Click here to see answer by ankor@dixie-net.com(3949) About Me 

Question 154890: 1/7 - 10/7e + 3/e^2 divided by 1/7 - 1/e
: 1/7 - 10/7e + 3/e^2 divided by 1/7 - 1/e

Click here to see answer by orca(258) About Me 

Question 154954: i do not understand radical expressions, here is an example -3/2+3/20-3/8
and i do not have the radical mark on my computer
: i do not understand radical expressions, here is an example -3/2+3/20-3/8
and i do not have the radical mark on my computer

Click here to see answer by checkley77(1749) About Me 

Question 154702: 1/7 - 10/7e + 3/e^2 divided by 1/7 - 1/e: 1/7 - 10/7e + 3/e^2 divided by 1/7 - 1/e
Click here to see answer by stanbon(18046) About Me 

Question 154699: 3 square root sign 64x^7 divided by 3 square root sign 4x: 3 square root sign 64x^7 divided by 3 square root sign 4x
Click here to see answer by checkley77(1749) About Me 

Question 154703: Build the rational expression into an equivalent rational expression with the indicated denominator.
y/2 = ?/2y
: Build the rational expression into an equivalent rational expression with the indicated denominator.
y/2 = ?/2y

Click here to see answer by oscargut(506) About Me 

Question 154704: Find all real solutions: x^2 + 1 = 0
unless I really just don't get ...its not {1} and its not {-1}
: Find all real solutions: x^2 + 1 = 0
unless I really just don't get ...its not {1} and its not {-1}

Click here to see answer by jim_thompson5910(8302) About Me 

Question 154417: 3(48x^42y^52)^(1/4)
Thankyou
: 3(48x^42y^52)^(1/4)
Thankyou

Click here to see answer by checkley77(1749) About Me 

Question 154419: 3 (fourth root of (48x^42y^52))
please let my know asap
thankyou
lisa
: 3 (fourth root of (48x^42y^52))
please let my know asap
thankyou
lisa

Click here to see answer by Alan3354(566) About Me 

Question 154432: Perform the indicated operations and write your result in lowest terms
2c/3 * 7/8c
I believe its 7/12
: Perform the indicated operations and write your result in lowest terms
2c/3 * 7/8c
I believe its 7/12

Click here to see answer by jim_thompson5910(8302) About Me 

Question 154347: I can't get the correct answer of this problem.
Square root of square root of 72(x+1)
((72(x+1)^1/2)^1/2
The Answer is (5)^1/2 x (2(x+1))^1/4
My answer is (6)(2(x+1))^1/2)^1/2
Can you help me please?
Thanks
: I can't get the correct answer of this problem.
Square root of square root of 72(x+1)
((72(x+1)^1/2)^1/2
The Answer is (5)^1/2 x (2(x+1))^1/4
My answer is (6)(2(x+1))^1/2)^1/2
Can you help me please?
Thanks

Click here to see answer by Alan3354(566) About Me 

Question 154304: Write the equation in the form a + bi, where a and b are real numbers
3 + square root sign 45 divided by 3
: Write the equation in the form a + bi, where a and b are real numbers
3 + square root sign 45 divided by 3

Click here to see answer by Alan3354(566) About Me 

Question 154305: Simplify: ^3 squart root 64x^7 divided by ^3 square root 4x: Simplify: ^3 squart root 64x^7 divided by ^3 square root 4x
Click here to see answer by checkley77(1749) About Me 

Question 154303: Simplify: (625)^1/2: Simplify: (625)^1/2
Click here to see answer by jojo14344(371) About Me 

Question 154073: I was trying to solve this problem, I tried rationalizing the denominator but I could not eliminate the middle terms in the denominator because the exponents of the variable inside the cube root sign is not the same. I took this problem from the College Algebra book by William Hart, 4th Edition. This is under exercise 53, problem number 148, page 127. This is the problem:
(root(3,U)-3root(3,2))/(3root(3,2)-2root(3,U))
If only the index of the radicals in the denominator is equal to 2,and not a 3 (which is a cube root) I could immediately perform rationalization.
I hope somebody could help me.
thanks and best regards,
jomar
: I was trying to solve this problem, I tried rationalizing the denominator but I could not eliminate the middle terms in the denominator because the exponents of the variable inside the cube root sign is not the same. I took this problem from the College Algebra book by William Hart, 4th Edition. This is under exercise 53, problem number 148, page 127. This is the problem:
(root(3,U)-3root(3,2))/(3root(3,2)-2root(3,U))
If only the index of the radicals in the denominator is equal to 2,and not a 3 (which is a cube root) I could immediately perform rationalization.
I hope somebody could help me.
thanks and best regards,
jomar

Click here to see answer by Edwin McCravy(1816) About Me 

Question 153907: 1 minus square root of 7 on the numerator divided by 3 plus square root of 7 on the demoninator. Can you please go through the steps to rationalize the denominator in the problem. Thank-you very much!: 1 minus square root of 7 on the numerator divided by 3 plus square root of 7 on the demoninator. Can you please go through the steps to rationalize the denominator in the problem. Thank-you very much!
Click here to see answer by nerdybill(465) About Me 

Question 153529: (4m4+3k2)2/3: (4m4+3k2)2/3
Click here to see answer by stanbon(18046) About Me 

Question 153298: Solve this quadratic equation by Extracting square roots:
1. 1=1/3x^2 and
2. x/4=9/x
: Solve this quadratic equation by Extracting square roots:
1. 1=1/3x^2 and
2. x/4=9/x

Click here to see answer by oscargut(506) About Me 

Question 153289: solve   x(x+3)(x-5) _> 0  .: solve   x(x+3)(x-5) _> 0  .
Click here to see answer by oscargut(506) About Me 

Question 152301: How do I simplify this radical expression.
-3 Square root of 20 times square root of 15.
Also this one.
-2 square root of 6a cubed times square root of 3a.

Thanks
: How do I simplify this radical expression.
-3 Square root of 20 times square root of 15.
Also this one.
-2 square root of 6a cubed times square root of 3a.

Thanks

Click here to see answer by orca(258) About Me 

Question 153104: How this could be SLOVE??
sqrt( 4x^2 +5-1 )=2(x+2)
: How this could be SLOVE??
sqrt( 4x^2 +5-1 )=2(x+2)

Click here to see answer by checkley77(1749) About Me 

Question 152069This question is from textbook
: can someone please help I am stuck on this problem and cannot figure it out.
s=50(1+.70/100)^5 How do you solve this problem?
This question is from textbook
: can someone please help I am stuck on this problem and cannot figure it out.
s=50(1+.70/100)^5 How do you solve this problem?

Click here to see answer by orca(258) About Me 

Question 152752: Solve for all values of x: square root sign (x+7) - square root sign (x+2)=1
I am not sure what to do with this question. I think maybe I should mutilply by x+7 and x+5 to remove the square root sign, but then I am lost
Thanks
: Solve for all values of x: square root sign (x+7) - square root sign (x+2)=1
I am not sure what to do with this question. I think maybe I should mutilply by x+7 and x+5 to remove the square root sign, but then I am lost
Thanks

Click here to see answer by ankor@dixie-net.com(3949) About Me 

Question 152886: Ok this is my problem. Since I don't have a "radical" key on my computer, I'm going to type it the way it would be said. Its 81x to the 4th, y to the 20th, all under a radical, raised to the 4th power. Help would be greatly appreciated ...I can't remember how to do these kinds of problems at all. thank you, sarah.: Ok this is my problem. Since I don't have a "radical" key on my computer, I'm going to type it the way it would be said. Its 81x to the 4th, y to the 20th, all under a radical, raised to the 4th power. Help would be greatly appreciated ...I can't remember how to do these kinds of problems at all. thank you, sarah.
Click here to see answer by jim_thompson5910(8302) About Me 

Question 152755: (8sqrt[3]+3sqrt[2])(4sqrt[6]-5sqrt[2]): (8sqrt[3]+3sqrt[2])(4sqrt[6]-5sqrt[2])
Click here to see answer by orca(258) About Me 

Question 152751: Perform the indicated operations:
3sqrt[3]+2sqrt[27]-sqrt12
: Perform the indicated operations:
3sqrt[3]+2sqrt[27]-sqrt12

Click here to see answer by orca(258) About Me 

Question 152787: simplify
radical 18 - radical 50
12 radical x + 2 radical x
i solved them for the first one i got -30 and the second one i got 24x but i dont know if i am doing them correct i need to see the steps
: simplify
radical 18 - radical 50
12 radical x + 2 radical x
i solved them for the first one i got -30 and the second one i got 24x but i dont know if i am doing them correct i need to see the steps

Click here to see answer by ankor@dixie-net.com(3949) About Me 

Question 152756: Rationalize the denominator:
5/sqrt[3]+sqrt[5]
: Rationalize the denominator:
5/sqrt[3]+sqrt[5]

Click here to see answer by Earlsdon(3516) About Me 

Question 152697: Express in simplest form with rationalized denominators: sqrt 7 - sqrt 5 / sqrt 5 + 3 sqrt 7: Express in simplest form with rationalized denominators: sqrt 7 - sqrt 5 / sqrt 5 + 3 sqrt 7
Click here to see answer by jim_thompson5910(8302) About Me 

Question 152413: 3 radical 25 over 4: 3 radical 25 over 4
Click here to see answer by checkley77(1749) About Me 

Question 152416: 4 square root sign 100 over 5
(4sqrt(100))/5
: 4 square root sign 100 over 5
(4sqrt(100))/5

Click here to see answer by mducky2(55) About Me 

Question 152414: 2 square root sign 50 over 5: 2 square root sign 50 over 5
Click here to see answer by jojo14344(371) About Me 

Question 152415: 1 square root sign 54 over 3: 1 square root sign 54 over 3
Click here to see answer by jojo14344(371) About Me