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

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Question 578508: solve 2√y + 5√y

Click here to see answer by jim_thompson5910(28717) About Me 

Question 578585: Can you please help me with this equation on radicals
sqrt 18- sgrt 54- 2sqrt 50

Click here to see answer by KMST(1936) About Me 

Question 579122: Can you please help me with the below algebra problem.
f(x)= sqrt (4x-16)

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Question 580213: sqrt(3x - 5) = 4

Click here to see answer by jim_thompson5910(28717) About Me 

Question 581401: if 2 is added to half a number , the result is one more than the original number .What is the original number ?
Click here to see answer by algebrahouse.com(1079) About Me 

Question 581599: square roots of 16a divided by square roots of 4b
Click here to see answer by jim_thompson5910(28717) About Me 

Question 582051: please help me!!! I need to solve for r in the following equation w=c*r^-1/2
Click here to see answer by jim_thompson5910(28717) About Me 

Question 582193: 3square root of 2 plus 3 square root of 18
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Question 582615: i need your help on this text brfore tommoroww so can u help me withab tho the 1/3 power and
Click here to see answer by stanbon(57984) About Me 

Question 582631: sqrt(9x+40)-6=2x-1
I have no idea what to do. I have tried multiple things and nothing gives me 1 which is the answer my professor said is the correct one.Help.Thank You

Click here to see answer by scott8148(6628) About Me 

Question 582738: Rewrite the following in simplified radical form
-assume all variable represent positive real numbers
√27v^12

Click here to see answer by jim_thompson5910(28717) About Me 

Question 583097: Explain in your own words how to determine whether a function is one-to-one. Give an example.
Click here to see answer by JBarnum(2044) About Me 

Question 583100: solve the following system bu substitution
x=7y+9
x=7/4y
what is the solution set?

solve by the substitution method.
x-y=-1
7x+3y=-67
what is the solution set?

solve by the elimination method.
2x-5y=36
5x+7y=-27
what is the solution set?

use the elimination method to solve the system of equations.
5x+4y=5
-7x-8y=-19
what is the solution set?

Click here to see answer by solver91311(17077) About Me 
Question 583100: solve the following system bu substitution
x=7y+9
x=7/4y
what is the solution set?

solve by the substitution method.
x-y=-1
7x+3y=-67
what is the solution set?

solve by the elimination method.
2x-5y=36
5x+7y=-27
what is the solution set?

use the elimination method to solve the system of equations.
5x+4y=5
-7x-8y=-19
what is the solution set?

Click here to see answer by JBarnum(2044) About Me 

Question 583584: x=+-2sqrt%286x%5E3%29%2Asqrt%283x%29
Click here to see answer by nerdybill(7012) About Me 

Question 583590: +x=sqrt%2830x%5E6%2F40x%29
Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 584198: simplify and rewrite it in an equivalent form with positive exponents
24x^3y^-3/72x^-5y^-1

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Question 584789: short answer raise the quanity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents
(24y^-1/72x^-3y^4)^2

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Question 584807: convert to scientific notation
0.1514

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Question 584794: raise the quanity in parentheses to the indicated exponent and simplify the resulting expression. Express answers with positive exponents (x^-2y^-1/2X^0y^3)^3
Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 584997: Simplify. Remember to use absolute-value notation when necessary. If a root cannot be simplified, state this.

5 √-1/32

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Question 585070: w=Cr^-2. Solve for r
Click here to see answer by richwmiller(9144) About Me 

Question 585143: How do you solve or simplify a radical within a radical? for instance, the square root of 'A' minus the square root of 'B', divided by 1?
Click here to see answer by Alan3354(31538) About Me 

Question 585242: √b
Click here to see answer by jim_thompson5910(28717) About Me 
Question 585242: √b
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Question 585242: √b
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Question 585227: Can comeone please help me answer the below question.
8^sqrt(3)

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Question 585252: ^4√5x*^4√2x
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Question 585262: √6*√8
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Question 585269: What is the conjugate?
x-√2

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Question 585272: Rationalize the denominator and simplify.
12
----
√7+2

Click here to see answer by lwsshak3(6770) About Me 

Question 585555: I'm taking Geometry, but never learned how to simplify square roots. I can do the simple ones such as √24, but more comlicated ones such as 3√27, I cannot. So, for 3√27, I broke 27 into 9 x 3, and then the 9 into 3 x 3, but I don't even know if that's right or where to go from there. Sorry if that was confusing. I'm asking how 3√27 is simplified. That's it. Thank you, very much

Click here to see answer by mananth(12270) About Me 

Question 585911: What is the Radical solution of cubicx + 3xsquret + 3x + 1.
Click here to see answer by Alan3354(31538) About Me 

Question 586103: Hello, I am really confused about this problem! Hope you can help!
The equation is : 7-12 square root 1/9.
I was thinking that it would be 7-12(1/3) = 7-4 and the answer would be 3.
Thank you!

Click here to see answer by Alan3354(31538) About Me 

Question 586369: Find the domain of: f(x)= the 4th root of x-1
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Question 586965: The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume.
1. 10 in^3
2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3
I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that?

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Question 587489: 9ył-49=0 i need three answers just help with how to do this one please
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Question 587585: I dont know how to do this?
4/√11

Click here to see answer by Alan3354(31538) About Me 

Question 587572: 10r2+20r-88=-8
Could not figure out how to factor this radical out. Is it possible to have no solution?

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 587718: 2 over the square root of 5????
as in a fraction of 2/ (square root) 5

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Question 587894: The speed of a passenger train is 16 mph faster than the speed of a freight train. The passennger train travels 300 miles in the same time it takes the freight train to travel 220 miles. What is the speed of each train?
Click here to see answer by mananth(12270) About Me 

Question 587908: A long distance trucker traveled 160 miles in one direction during a snow storm. The return trip in rainy wether was accomplished at double the speed and took 5 hours less time. What is the speed going?
Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 588089: Problem: Find the inverse of +y+=+x%5E2+%2B+sqrt+%28x%29+.
I've fought the good fight, working on this on and off for two weeks.
Status:
For x^2 + x^1/2 = y, the equivalent is x = x^4 - 2x^2y + y^4. I cannot figure out what algebraic manipulative trick(s) to use to separate x, and render it as ONE X term in terms of y. [x = f(y)] Do you have a bag of such applicable tricks?
Since I can't manage that, here's another approach:
x^1/2 = y - x^2 and -(x^1/2) = X^2 - y.
While x^1/2 is not = -(x^1/2), (x^1/2)^2 = x and [-(x^1/2)]^2 = x.
Therefore: x = (y - x^2)^2 and x = (x^2-y)^2.
Now take the square root of each of the above:
x^1/2 = y - x^2 and x^1/2 = x^2 - y.
(Of course, the sq rts can also have a "-" sign.)
Therefore: y - x^2 = x^2 - y.
Is my logic correct so far?


(HOWEVER, in the expression above, let x = 1, and y>1.
If y = 4, 4 - 1 NOT = 1 - 4.)



In any event, if my logic holds up, it seems that I can write:
-2x^2 = -2y AND 2x^2 = 2y.
Each of these is a quadratic. So, it seems that I should be able to use
ax^2 + bx + c = (d)y

inputing known values of x and y [x = 1, y = 2; x = 4, y = 18], and come up with a specific quadratic equation of some form of:
x = -b/2a +/- [(sqrt b^2 + y - 4ac)/2a]
I'll leave it at that. Thanks so much. Cheers!

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 588588: I dont understand this...
The function t=1/4 Square Root of 36-h
T=time and H=Height and 36 is the Initial height.
What is the height of the object after 1/2 second and 1 second? Explain both.

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Question 589038: If D=1.2sqrt'h'
then does h=(d/1.2)squared?

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