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

Tutors Answer Your Questions about Radicals (FREE)

Question 40617: Please show me how to do this.
sqrt20/5 - 1/sqrt5
Only the 20 in the numerator is in the sqrt in the first half and only the 5 in the denominator is in the sqrt in the second half.
Thanks
Click here to see answer by gsmani_iyer(201)

Question 35251: cubed root of -243x^3y^10
Click here to see answer by junior403(76)

Question 41047: how do you simplify raticals that have an equationon both sides like
X-3=THE SQUARE ROOT OF 30-2X
AND CAN YOU GIVE ME SOME OTHER EXAMPALES.
THANK YOU,
FROM,
MATH BREAKDOWN
Click here to see answer by checkley71(8403)

Question 40989: 4Sqrt2X-1=8
Click here to see answer by checkley71(8403)

Question 41113: Simply the radical expression. Assume all variables represent positive real numbers.
SQRT( 12a3/25)
Click here to see answer by fractalier(6550)

Question 41112: Simply the radical expression. Assume all variables represent positive real numbers.
SQRT( 12a3/25)
Click here to see answer by fractalier(6550)

Question 41011: Find the length x in each triangle. Express your answer in simplified radical form.
long side is 12
x is the straight side
8 is the bottom of the triangle
x2 = 122 + 82
= 144 + 64
= 208
This is completely wrong! where am I failing? I believe I am using the wrong formula. Help me.

Click here to see answer by mszlmb(115)

Question 41231: Find two consecutive positive integers such that the sum of
their squares is 85.

I got 6,7...is that correct/
Click here to see answer by fractalier(6550)

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

Question 41355: Solve 9x^2=14
Click here to see answer by tutorcecilia(2152)

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(1806)

Question 41584: 4x^2-8=0
Click here to see answer by stanbon(75887)

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(3500)

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(6294)

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(6294)

Question 41727: I need help with simplifying the following. Thanks
32^2/5
Click here to see answer by josmiceli(19441)

Question 41728: 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.
Click here to see answer by abcdefg(37)

Question 41767: multiply and simplify
(squareroot 6-2root3) (squareroot 6 +2root3)
Click here to see answer by fractalier(6550)

Question 41725: Please help me to simplify this problem:
(7/2)^2
Thanks!
Click here to see answer by fractalier(6550)

Question 41356: Solve by using quadratice formula: 3x^2=11x+4
Click here to see answer by vidhyak(98)

Question 41829: Please show me how to simplify this:
2 + 1/x-5
__________
3- 2/x-5
Click here to see answer by fractalier(6550)

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(878)

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(878)

Question 42285: 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.
Click here to see answer by PaulAllen65270(19)

Question 41354: Find the distance between (-3, -2) and (1,4)
Click here to see answer by Nate(3500)

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(8403)

Question 42548: If g(x) = 3x - 8, find g[g(-4)].
Thanks
Click here to see answer by fractalier(6550)

Question 42548: If g(x) = 3x - 8, find g[g(-4)].
Thanks
Click here to see answer by Nate(3500)

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)

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)

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(6294)

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(6294)

Question 42662: solve
-√81
Click here to see answer by checkley71(8403)

Question 42546: Find the exact solution to 6x^2 + 1 = -8x by suing the Quadratic formula.
thanks
Click here to see answer by fractalier(6550)

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)

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(6550)

Question 43016: Can someone help me solve the radical expression
sqrt3x + 5 = 11
Thank you
Click here to see answer by checkley71(8403)

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(8403)

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(878)

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(75887)

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(75887)

Question 43146: square root of 3x+6 minus 9=0
I promise this is the last one :)
Click here to see answer by stanbon(75887)

Question 43190: Please explain how to do this.
sqrt75 - sqrt48
Click here to see answer by stanbon(75887)

Question 43190: Please explain how to do this.
sqrt75 - sqrt48
Click here to see answer by Nate(3500)

Question 43183: I cannot figure this out - can someone please help.
4sqrt72 - 2sqrt48
Thank you
Click here to see answer by stanbon(75887)

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