Tutors Answer Your Questions about Radicals (FREE)
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(16946)   |
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?
Click here to see answer by Alan3354(69443)  |
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(16946) |
Question 588089: Problem: Find the inverse of  .
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(22740)  |
Question 590827: QUESTIONS:
1. The density of a cube is given by: d=ms^-3
where m is the mass of the cube (in grams) and s is the length of a side (in centimeters).
1(a) Solve the equation for s.
1(b) A cube of ice has a mass of 7.336 grams and a side length of 2 centimeters. Use the equation to find the density of the ice.
1(c) Use the value of d you found in 1(b) to determine the side length for a cube of ice with mass 24.759 grams.
1(d) Use the value of d you found in 1(b) to determine the mass of a cube of ice with side length of 4 centimeters.
MY ANSWERS:
1(a) I'm not exactly sure how to solve this one.
1(b) d=0.917
1(c) s=3
1(d) m=58.688
Click here to see answer by jim_thompson5910(35256) |
Question 590884: I am completely lost on this one,I know how to do the equations except for when it comes to the square root part. Can you give me an example or show me how to work it out please?
2. The time (in seconds) it takes a pendulum on a grandfather clock to swing back and forth once is given by T=6.28√(l/32)
Where l is the length of the pendulum in feet.
2(a) Solve this equation for l.
2(b) Suppose it takes 2 seconds for the pendulum to swing back and forth once. How long is the pendulum?
2(c) Suppose a pendulum is 1.5 feet long. How long will it take the pendulum to swing back and forth once?
2(d) How many times will the pendulum in 2(c) swing back and forth in one minute?
Click here to see answer by mananth(16946) |
Question 592147: For some reason I am drawing a complete blank on how to begin this:
Can you add sqrt(5) + sqrt(20)? Hint: simplify the sqrt(20) to a multiple of sqrt(5). Also need an example of a radical expression for others to solve.
I would greatly appreciate any help. It's been 34 years since I have had Algebra.
Click here to see answer by nerdybill(7384)  |
Question 592344: Simplify and evaluate the following expression:
(sqrt 450)* (sqrt 128)/ (sqrt 1/9)
I tried multiplying the first two square roots and then dividing by the last, but i didnt get any of the answer chouces. The answer choices are
A.80
B.240
C.360 sqrt 2
D. 720
I also tried usinng my TI-84 calculater but it was no help.
Click here to see answer by scott8148(6628)  |
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