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

Tutors Answer Your Questions about Radicals (FREE)

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 303795(602)

Question 65304: Solve for x, and show work....
squareroot of 2 times squareroot of 3 times x = 18
Click here to see answer by checkley71(8403)

Question 65303: square root of 2 * square root of 3* x =18
Click here to see answer by 303795(602)

Question 64001: use the Binomial Theorem to expand the binomial (2x+y)^6 On this problem I need the result in it's simplified form...I think I have it expanded but not sure about getting it to a simplified form
Click here to see answer by venugopalramana(3286)

Question 64813: sqaure root of 2 - 3 over square root of 3 - 7
the other question is
(4 sqaure root of 2 - square root of 6)(square root of 2 + 4 sqaure root of 6) and on the V section of the sqaure roots there is a 5 on the outside of V
also (2m-5)2 power =49
Click here to see answer by checkley71(8403)

Question 65681: Use property 1 to simplify the radical expression. Assume the variable represents a positive real number.
sqrt72x^3
sqrt72*x^2*x=
sqrt72x^2 * sqrtX=
9x sqrtX
Is this correct?
Click here to see answer by funmath(2933)

Question 65680: Use property 1 to simplify the radical expression. Assume the variable represents a positive number:
sqrt50
10 * 5 = 50
2 sqrt 5
Would this be the correct statement?
Click here to see answer by funmath(2933)

Question 65678: Problem 24:
3 sqrt -8/27
I believe this is not a real number, is this correct? If it is I would say it is -2/3 From here I am lost, hope you can help me:-)
Click here to see answer by stanbon(75887)

Question 65677: Evaluate if possible:
sgrt 4/25
I assume this can be evaluated because 4 can be divided by 2 and 25 can be divided 5 which leaves:
2/5 is this correct?
Click here to see answer by stanbon(75887)

Question 65682: Use property 2 to simplfiy the radical xpression:
sqrt10/49 =
(sqrt10/sqrt49) =
sqrt 5/7?
Is this the correct format for me to use?
Click here to see answer by stanbon(75887)

Question 65676: Evaluate is possible:
sgrt -121
Is this an equation that can be evaluated?
Click here to see answer by stanbon(75887)

Question 65685: Simplify by co,bining like terms:
sqrt 63 - 2sqrt28 + 5sqrt7
I sure thope this makes sense to someone else more than it does to me. I can not see any like terms involved in this process. Thank you for the help.
Click here to see answer by checkley71(8403)

Question 65686: Multiply then simplify the radical expression:
sqrt13 * sqrt5 =
13 * 5 = sqrt65?
I believe this is how I would perform this operation. Thanks for the help.
Click here to see answer by funmath(2933)

Question 65683: Use the properties for radicals to simplify the espression. Assume all variables represent positive real numbers.
sqrt 5/3
This is not a real number correct? Or do I need to divide them like a regular fraction to get:
1 sqrt2/3?
Click here to see answer by checkley71(8403)

Question 65689: Perform the division, rationalize the denominator if necessary, then simplify:
18 + sqrt567 / 9
I do not know how to even begin this problem, can I please get some help on the steps of this process. Thank you
Click here to see answer by funmath(2933)

Question 65693: Solve the equation:
sqrtx+4 = 3
I tried to keep this seperated because the square root is x + 4.
I am going to assume I need to make X equal the 3 leaving me with this:
X= -1
sqrt-1+4 = 3
Is this the right process?
Click here to see answer by funmath(2933)

Question 65688: Multiply then simplify the radical expression:
sqrt7(2sqrt3 + 3sqrt7)
I believe it starts with what is inside the parenthesis first:
2sqrt3 + 3sqrt7= 5sqrt10
7 * 5 = 35
7 * 10 = 30
35sqrt30?

Click here to see answer by funmath(2933)

Question 65701: Simplify by combining like terms:
(sqrt3 + 5)(sqrt3 - 3)
The like terms would be the three's?
From here I believe I could combine them by doing the math:
(sqrt3 + 5)(sqrt3 - 3)=
(sqrt3 + 5)(sqrt0)=
(sqrt3 + 5)
From here where do I head, or am I already gone to far?
Thank you
Click here to see answer by funmath(2933)

Question 65700: Simplify by combining like terms:
Xsqrt18 - 3sqrt8x^2
I can not really see any like terms in this process, is there like terms?

Click here to see answer by funmath(2933)

Question 65691: Perform the division, rationalize the denominator if necessary, then simplify
6 - sqrt20 / 2
Thank you for the help :-)
Click here to see answer by funmath(2933)

Question 65696: sqrt2y+7 + 4 = y
The sqrt is 2y+7
I am not sure how to work this problem since the equal number is a letter. How would I go about figuring out this equation?
Click here to see answer by funmath(2933)

Question 65690: Perform the division, rationalize the denominator if necessary, then simplify:
-9 - sqrt108 / 3
Thank you for the wonderful help.
Click here to see answer by tutorcecilia(2152)

Question 65684: Use the properties for radical to simplfiy, assume all variables represent positive real numbers:
sqrt 12x^3/5
I do not know how to continue this problem with the x^3 involved. Can anyone help me out?
Click here to see answer by stanbon(75887)

Question 65747: The demand equation for a certain type of printer is given by:
D = -200p + 35,000
The supply equation is predicted to be:
S = -p^2 + 400p - 20,000
Find the equilibrium price.
This question has me completely lost on how to start, middle, end, or answer. Hope there is some help out there for this one. Thank you very very much
Click here to see answer by Nate(3500)

Question 65744: Perform the division, rationalize the denominator if necessary, then simplify
-9 - sqrt108
------------
3
How do I go about this again? The explanation kind of confused em on how to get the break down and the answer really lost me. SOrry really trying to learn this in depth. Thank you once again :-)
Click here to see answer by Nate(3500)

Question 66046: Simplify radical
Click here to see answer by checkley71(8403)

Question 66044: For all x>0 and y>0, the radical expression: square root of 3 divided by 3 times the square root of x minus the square root of y.
Click here to see answer by funmath(2933)

Question 66062: squareroot of 3x^5y^14
Click here to see answer by funmath(2933)

Question 66061: squareroot of 72x^2y^3
Click here to see answer by funmath(2933)

Question 66452: im having trouble with 2 radical 7 over 3 radical 5 + 5 radical 3. I know to multiply the top and bottom by 3 radical 5 + 5 radical 3 but what im getting doesnt seem right.
Click here to see answer by ptaylor(2198)

Question 66606: Here is my question:
-9 minus the sqrt of 108/3=?????
I have worked this problem three times and have come up with -9 minus 2 times the sqrt of 3. Is this correct???? I hope someone can help me fast because my assignment is due within 4.5 hours. Thanks.
Click here to see answer by Nate(3500)

Question 66607: I need to find the area of a square with all sides = sqrt of 3 plus sqrt of 5. What I mean is that the square has four equal sides measure sqrt of 3 + sqrt of 5. I am having a tough time with this one.
PS I just asked another question on radicals 5 minutes ago and I cannot open the solution to the problem.
I hope someone can help me. Thanks.
Click here to see answer by ptaylor(2198)

Question 66608: Here is my question:

6 - sqrt of 20
-------------- = ?????
2
I came up with 6 - sqrt of 5. I am not sure if this is correct. I need someone to let me know if I am doing this stuff correctly, please.
Click here to see answer by ptaylor(2198)

Question 66430: hi thank you for helping me i have 5 problems i do not understand.
5x+2=2x-10
1/2B+4=1/8B+88
8-5P=4P-1
0.2X-8=-2-X
-4-3X=7X-6

Click here to see answer by sister_insomnia(8)

Question 64585: 729 1/3
Click here to see answer by rapaljer(4671)

Question 66807: Please Help. Im having trouble with these equations.
1.

A. √x-2=1

B. √x�3=27

C. 3√x�2=9

Click here to see answer by checkley71(8403)

Question 66841: x = -2, -1, 0, 1, 2
y = .111, .333, 1, 3, 9
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Click here to see answer by stanbon(75887)

Question 66897: Please help. I'm having trouble with this problem.
The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
Answer:

Click here to see answer by venugopalramana(3286)

Question 66896: Please help. I'm having trouble with this problem.
Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Answer:
Show work in this space.

Click here to see answer by venugopalramana(3286)

Question 66895: Please help.I can't solve this problem.
A right triangle is a triangle with one angle measuring 90�. In a right triangle, the sides are related by Pythagorean Theorem,c� 2=a�2+b�2, where c is the hypotenuse (the side opposite the 90� angle). Find the hypotenuse when the other 2 sides� measurements are 6 feet and 8 feet.
Answer:
Show work in this space .

Click here to see answer by venugopalramana(3286)

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