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

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Question 191140: I need help explaining radicals to my daughter and have no clue. can you go step by step so I can show her please. 4 square root 10 multiply 3 square root 6
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Question 191176: y1/3 - 7= 0
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Question 191291: I need some help with a problem that states I need to rationalize the denominator. The problem is (square(3)-square(4))/(square(3)+square(4)). I did the steps that it said to, but my answer does not match the answer in the book. When I solved the problem I got (square(3)-square(4)(square(3)+square(4) with a - 1 for the denominator?
What am I doing wrong?
Any help would be greatly appreciated!
Click here to see answer by jim_thompson5910(35256)

Question 191349: The Pythagorean Theorem
C� = A� + B�
Leg A = 5 Hypotenuse = 11 Leg B = ?
This was an example on a work sheet my teacher gave us for practice.
They filled in the numbers into the formula and simplified the problem.
11� = 5� + B�
121 = 25 + B� * minus 25 from both sides.
96 = B�
The third step is to take the principal square root.
√96 = √ B�
√96 = B
4√6 = B Add back in original problem.
*I got 9.79 but they gave the answers as 4√6. So my question is how did they get the radical 4√6? My teacher does not want us to give answers in decimal form, but I can�t figure out how they got the radical number.

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Question 191386: x + 1 + 1 - x2-2
----- --- --------
x+2 x-3 x2-x-6
The x2 is x squared. This question is in a fraction form. I know i need to find an LCD but I do not know what it is. Please help! I need step by step instructions to solve this
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Question 191546: how to do square root of 2 plus square root of 1/2
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Question 191546: how to do square root of 2 plus square root of 1/2
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Question 191555: simplify each radical expression: sqrt = square root
sqrt(75a)/ sqrt(49)
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Question 191751: square root of 2x+11=x+4 Isolate a radical on one side, square both sides, solve the resulting equation
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Question 191751: square root of 2x+11=x+4 Isolate a radical on one side, square both sides, solve the resulting equation
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Question 191876: Please help me solve a few of my homework problems from my CNM professor;
1. 3x^2-5x-12=0
2. x^2+x=2
3. x^2-12=x
4. x^2-6x+1
5. 2x^2-11x-21=0
Thank you greatly for any help. It is appreciated:)
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Question 191940: Is this correct? sqr rt 1/6 - multiply by 6/6 to get answer: 1/6 sqr rt 6.
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Question 191890: 20 radical 3/radical 2 
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Question 191948: I worked this problem but could you check it for me. Thanks
#34
(3+ sqrt-5)(7- sqrt-10)
my answer 491+155i
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Question 191991: I am using the "Glenco mathmatics Algebra 1" book. I am doing extra practice in the back of the book in section 11-1. #24. The problem is using the process of simplifying radical expressions.
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Question 192022: Parents can even help on this one. Please help me!!!
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Question 192052: I need help with multiplying radicals with different indexes
√7 * ^3√2
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Question 192328: x^3-49x=0
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Question 192391: how do you solve this problem?: Find the area of a square with one side length of 5 square root of 12. Then find perimeter.
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Question 192485: 2 times the square root of x+2 - the square root of x-3 = the square root of x+9
I'm really confused. Would you help me please?
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Question 192486: I need help with simplifying these radical expressions please! I don't know how to put the sign on here, but its radical 128, I need to know how to simplify it. Also, radical 48a^2b^3c^4..Thanks Alot
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Question 192556: For each pair of functions, find f(g(x)) and g(f(x)).
31)f(x)=3x+5,g(x)=x^2+1
32)f(x)=x^2-5x+2,g(x)=2x
34)f(x)=-2x^2,g(x)=x+4
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Question 192727: Use rules of exponents, simplify expressions
(-27x^9)^1/3
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Question 192792: square root of 18 square root of 2
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Question 192734: 2 cubed root 4 x to the 3rd y to the 2nd TIMES Cubed root 12 x to the 2nd y to the 5th
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Question 192832: How do you simplify (3-2radical 12)squared?
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Question 192879: V7 TIMES V35
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Question 193008: D=1.2 sqrt h. gives the distance in miles that a person can see to the horizon from h height in feet. (1 mile = 5,280 feet)
A solve the equation I got 19360000 feet is this correct.
B. Long peak in the rocky mtn natl park is 14,255 feet in elevation. How far can you see to the horizon from the top of long peak? Can you see cheyenne Wyoming (about 89 miles away)
Click here to see answer by stanbon(75887)

Question 193112: Simplify:
3rd order radical of 432x^8 (instead of square root it is the cube root)
How is this simplified.
is this how you set it up:
3 over the SR of 423x^8 ?
I am not really sue where to go from here. Do I find the cube root of 423 first the mulitiply by power of 8 or the other way around?
thank very much for all your help on this.
this prolbem is from an online homework problem. it is not out of a book. I am currently in a Algebra II class on Univeristy Of Phoenix.
thank you

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Question 193166: sqrt(4x-5)=sqrt(x+9)

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Question 193305: (23x+14)Squared=25
I took the square root of both sides and brought the right side of the equation over in order to rationalize the equation. I'm left with
23x-9=0
I need to solve for "x" am i on the right path.
Click here to see answer by stanbon(75887)

Question 193314: 3x^2+1=2x is the problem
Which ever side i place the equation on i end up with a negative as a square root and i remember my professor mentioning you cant have a negative square root. I end up with X= -2+/- the sq. root of -8 over 6
What is my problem here?

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Question 193522: sqrt5:(-32x^5y^6)
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Question 193608: i really need help im strugling in this part of math i just need an easy way to understand it can you plz help me ;) brittany
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Question 193634: Divide and Simplify.
√1/18
I tried reducing 18 to 9, so it would be the square root of 1/9 then find I found the square root of 9, so it would be the square root of 1/3. But I don't know if that's right.
Thanks to anyone who can help!! :)

Click here to see answer by Alan3354(69443)

Question 193742: Hi! Can you help me solve these problem. Find the value of x wherein the perimeter is 30 and the length is x+6 which is inside the radicand and the width is 6. thanks a lot.
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Question 193746: My problem is Find the value of x wherein the given area is 88 and the base is 11 and the height is 3x inside the radicand and -2. thanks a lot.
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Question 193748: My problem is about finding the value of x wherein the given area of a triangle is 88 and the base is 11 and the height is 3x inside the radicand and -2. many thanks.
Click here to see answer by jim_thompson5910(35256)

Question 187744: 1+ 2x = 2 + 4
---------- --- ----
(X+3)(x+4) x+3 x+4
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Question 193814: Hello, I was wondering what [Sqr root 18abc^5 * Sqr root 32a^2bc^3] Factors into thanks
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Question 193941: what is the conjugate of 5 - the square root of 2?
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Question 193953: SIMPLIFY
THE SQUARE ROOT OF 2(THE SQUARE ROOT OF 2-4*THE SQUARE ROOT OF 6)=
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Question 193957: SIMPLIFY
(5 + 2*THE SQUARE ROOT OF 3)*(4 - 5*THE SQUARE ROOT OF 2)
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