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

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Tutors Answer Your Questions about Radicals (FREE)


Question 41353: Simplify the square root of 108
Click here to see answer by tran3209(100) About Me 

Question 41355: Solve 9x^2=14
Click here to see answer by tutorcecilia(2042) About Me 

Question 41468: i need to simplify sqrt3-1/1+sqrt3 by multiplying by 1-sqrt3 but i dont know how to do that. please show me your work. thanks
Click here to see answer by AnlytcPhil(958) About Me 

Question 41584: 4x^2-8=0
Click here to see answer by stanbon(26297) About Me 

Question 41595: I am stuck on how to solve this equation
(2x sqrt2x)(3 sqrt5x)
Is it 6x^2 sqrt 10x? I am not sure on the formula lay out.

Click here to see answer by Nate(3495) About Me 

Question 41614: I have a problem that I think has no solution. Is this right?
(sqrt2x+6)+6=0
I got 2x+6=12
2x=18
I do not see a solution. Am I doing something wrong?

Click here to see answer by Earlsdon(4900) About Me 

Question 41613: I have an equation that is stumping me. (sqrt5x+5)-15=0
I have solved it down to 5x = 230
x = 230 over 5
From this point on I am stuck. Have I done something wrong or where do I go to finish it?
Thank you.

Click here to see answer by Earlsdon(4900) About Me 

Question 41727This question is from textbook Elementary Algebra
: I need help with simplifying the following. Thanks
32^2/5
This question is from textbook Elementary Algebra

Click here to see answer by josmiceli(3013) About Me 

Question 41728This question is from textbook Elementary Algebra
: I really need help with a word problem. Please help:
Lacrosse. A regulation lacrosse field is 60 yd wide and 110 yd long. Find the length of a diagonal of such a field.
This question is from textbook Elementary Algebra

Click here to see answer by abcdefg(37) About Me 

Question 41767: multiply and simplify
(squareroot 6-2root3) (squareroot 6 +2root3)

Click here to see answer by fractalier(1804) About Me 

Question 41725This question is from textbook Elementary Algebra
: Please help me to simplify this problem:
(7/2)^2
Thanks!
This question is from textbook Elementary Algebra

Click here to see answer by fractalier(1804) About Me 

Question 41356: Solve by using quadratice formula: 3x^2=11x+4
Click here to see answer by vidhyak(78) About Me 

Question 41829: Please show me how to simplify this:
2 + 1/x-5
__________
3- 2/x-5

Click here to see answer by fractalier(1804) About Me 

Question 41973: I am sorry if I picked the wrong type of question, I did not see one about completion of squares. I was wondering if you wouldnt mind checking the answer I got for the equation x^2-8x=25. What I calculated as a final answer was
4+ 3i and 4-3i.
Thank you for your time,
Kendall

Click here to see answer by psbhowmick(456) About Me 

Question 36954: Need help understand these.
2) Is ( square root of x)^2=x an identity (true for all nonnegative values of x)?
Answer:
Explain your answer in this space.

Click here to see answer by psbhowmick(456) About Me 

Question 42285This question is from textbook
: Here it is copied and pasted exactly out of the book.
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?

Paul answered it as
400=(30+2x)(20+20)-(30*20)
400 = 4x^2 + 100x
x^2 + 25x - 100 = 0
Solve that and you get x = 3.5'

You replied with this can't be solved, so I am confused now.
This question is from textbook

Click here to see answer by PaulAllen65270(19) About Me 

Question 41354: Find the distance between (-3, -2) and (1,4)
Click here to see answer by Nate(3495) About Me 

Question 42547: How many real roots and or imaginary roots does the following equation have:
x^2 - 625 = 0
Thanks

Click here to see answer by checkley71(8405) About Me 

Question 42548: If g(x) = 3x - 8, find g[g(-4)].
Thanks

Click here to see answer by fractalier(1804) About Me 
Question 42548: If g(x) = 3x - 8, find g[g(-4)].
Thanks

Click here to see answer by Nate(3495) About Me 

Question 42613: I'm not good with word problems. This stuff is hard and I can't wrap my brain around it. Can you help me figure this out?
A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:

Show work in this space

Click here to see answer by Socom491(19) About Me 

Question 42615: How do I answer this?
The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Answer:
Show work in this space.

Click here to see answer by wuwei96815(245) About Me 

Question 42612: Right now we are studying Radicals and Rational Exponents and I'm not grasping the concept. Can you show me, step by step and in simple terms, how I would go about solving a problem such as this:
Solve the following equations.
a) radical symbol x^2 - 1 = 3

Click here to see answer by Earlsdon(4900) About Me 

Question 42614: Another word problem and I don't know where to begin. Please, Please, Please, help me to figure this out.
Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.
Answer:
Show work in this space.

Click here to see answer by Earlsdon(4900) About Me 

Question 42662: solve
-√81

Click here to see answer by checkley71(8405) About Me 

Question 42546: Find the exact solution to 6x^2 + 1 = -8x by suing the Quadratic formula.
thanks

Click here to see answer by fractalier(1804) About Me 

Question 42856: Solve 3x^2-8x+4=0 by graphing. If the exact roots cannot be found, state the consecutive integers between which the roots are located.
Yhank You

Click here to see answer by atif.muhammad(135) About Me 

Question 42736: How do I graph the functions y = x and y = --x (by plotting points if necessary. Please, show the points of intersection of these two graphs.
Thanks

Click here to see answer by fractalier(1804) About Me 

Question 43016: Can someone help me solve the radical expression
sqrt3x + 5 = 11
Thank you

Click here to see answer by checkley71(8405) About Me 

Question 43014: Solve the radical expression
Please help with this!
Sqrt(2x-1) = x - 2
What is in parenthesis is under the sqrt symbol.

Click here to see answer by checkley71(8405) About Me 

Question 42812: I submitted this earlier, but have not seen this answered yet. I got $58.58 and $341.42 but cannot get the numbers to check. I think I am doing the demand problem incorrectly....HELP.
The demand equation for a certain type of printer is given by
D= -200p + 35,000
The supply equation is predicted to be
S= -p2 + 400p - 20,000
Find the equilibrium price.

-200p + 35,000 = -p2 + 400p - 20,000
-p2 - 400p - 20,000 = 0
a = 1 b = -400 c = 20,000
D = - 200(58.58) + 35,000 = -11,716 + 35,000
= 23,284
S= -(58.58)2 + 400(58.58) - 20,000
D = - 200(341.42) + 35,000 = -68284 + 35,000
= 33284
S= -(341.42)2 + 400(341.42) - 20,000


Click here to see answer by psbhowmick(456) About Me 

Question 43149: Simplify (be sure to rationalize all denominators)
10. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)]
I somehow came up with SQRT(3)(2SQRTa^3b^3a+9bSQRTa^5b)but thats not the correct answer and I need to learn all the steps to come to the correct answer so I'll know for futre problems like this. Thank you!

Click here to see answer by stanbon(26297) About Me 

Question 43150: Simplify (be sure to rationalize all denominators)
12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0)

I'm not sure what to do with this problem, I came to the incorrect answer of x+5/[x^(1/4)]. I thought mabye I could rewrite it as x^(3/4) + [5x^(3/4)] / x and then factor out the x^(3/4). But I'm not sure how to do all this. I'd really appreciate your help, thanks!

Click here to see answer by stanbon(26297) About Me 

Question 43146This question is from textbook Beginning Algebra
: square root of 3x+6 minus 9=0
I promise this is the last one :)
This question is from textbook Beginning Algebra

Click here to see answer by stanbon(26297) About Me 

Question 43085This question is from textbook College Algerbra
: For the equation x-√x-0 , perform the following:
a)Solve for all values of x that satisfies the equation.
b)Graph the functions x=y and y= √x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
c)How does the graph relate to part a?
This question is from textbook College Algerbra

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Question 43190: Please explain how to do this.
sqrt75 - sqrt48

Click here to see answer by stanbon(26297) About Me 
Question 43190: Please explain how to do this.
sqrt75 - sqrt48

Click here to see answer by Nate(3495) About Me 

Question 43183: I cannot figure this out - can someone please help.
4sqrt72 - 2sqrt48
Thank you

Click here to see answer by stanbon(26297) About Me 
Question 43183: I cannot figure this out - can someone please help.
4sqrt72 - 2sqrt48
Thank you

Click here to see answer by Nate(3495) About Me 

Question 43206This question is from textbook Beginning Algebra
: The height h in feet of an object after t seconds is given by the function h = –16t^2 + 30t + 10. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Umm....huh? Please help
This question is from textbook Beginning Algebra

Click here to see answer by Nate(3495) About Me 

Question 43205This question is from textbook Beginning Algebra
: The length of a rectangle is 2 cm more than 3 times its width. If the area of the rectangle is 83 cm^2, find the dimensions of the rectangle to the nearest thousandth.
Ive tried a million times to get this and I'm stumped....
This question is from textbook Beginning Algebra

Click here to see answer by Nate(3495) About Me 

Question 43217: Simplify (be sure to rationalize all denominators)
12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0)
Hello, I really need help with this problem. I tried myself and got this answer x+5/[x^(1/4)]. But, I was tould this is not correct. I was advised to re write the problem as x^(3/4)+[5/x^3/4]/x and then factor out the x^3/4. But I dont know exactly how to do this. I asked this question earlier, but i recieved the same incorrect answer that I came up with. If anyone could help me and show all the steps to the correct simplified answer with a rationalized denominators I would appriciate it so much. Thank you.

Click here to see answer by fractalier(1804) About Me 

Question 43251: I asked this question a few days ago, but haven't received a response. Because I am bombing when it comes to rational exponents and the radical sign; It just totally confuses me, so I'm here begging for some assistance. Can anyone please, please, help? I would be forever grateful.
"While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign, Include in your answer and example of an equation easier to solve as a rational exponent rather than a radical sign."

Click here to see answer by fractalier(1804) About Me 

Question 42891: Please help! In the following all variables represent positive real numbers. Perform the indicated opersations and express your answer in simplified form.
Radical 14xy^2 Radical 3xy^3

Click here to see answer by fractalier(1804) About Me 

Question 42620This question is from textbook college algebra
: While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather than a radical sign.This question is from textbook college algebra

Click here to see answer by fractalier(1804) About Me 

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