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

Tutors Answer Your Questions about Radicals (FREE)

Question 359510: Debbie traveled by boat 5 miles upstream to
fish in her favorite spot. Because of the 4-mph current, it
took her 20 minutes longer to get there than to return. How
fast will her boat go in still water?
Click here to see answer by mananth(16946)

Question 359495: Please help me solve the following
3x^3 √80+ 2√125x^6
Click here to see answer by mananth(16946)

Question 359578: please help me

find the following

exponent of 18sqrt(-10)^18 = ???
Click here to see answer by Alan3354(69443)

Question 359624: i need help in finding the cube root of 16x^5 divided by the cube root of 2X^2
Click here to see answer by Fombitz(32388)

Question 359732: Hello, could you please help me solve this equation. I initially tried solving by squaring both sides but the result seemed to be something awful. When I subtracted 4 from both sides and then squared both sides, my answer was x = 15/4
This is the equation:
4 + sqrt(10-x) = 6 + sqrt(4-x) solve for x
thank you.
Click here to see answer by solver91311(24713)

Question 359870: -x-5+6x=12+2x-5
solve for x please
Click here to see answer by robertb(5830)

Question 359998: Hi, I'm reviewing for a test and I'm having serious problems with radicals. I've
shown my progress thus far, which may or may not be correct.
sqrt(15x + 4) = 4 - sqrt(2x + 3)
square both sides:
15x + 4 = 16 - 8sqrt(2x + 3) + 2x + 3
simplify and gather like terms, then square both sides again (?)
(13x - 15)^2 = (-8sqrt(2x + 3)^2
The teacher gave us the answer of 11/169 and when finishing the problem like this, my answer was far off. Could you please walk me through this problem so I understand the steps? Thank you so much for your help :-)
Click here to see answer by edjones(8007)

Question 360154: how to solve this radical equation(x^2+7)^-3/2=1/64
Click here to see answer by jsmallt9(3758)

Question 360439: Hello, I need help with solving a problem. I am doing rational and radical exponents. The problem is (-27x^9)^1/3. Whoever help me I thank you very much. Because I have tried figuring this problem out since yesterday and no luck. Thanks again so much for your help and time.
Click here to see answer by ankor@dixie-net.com(22740)

Question 360525: 25w^2 - 25w = -3 I need help

Click here to see answer by JBarnum(2146)

Question 360443: I need help with this problem. (-16)^1/4. Thank you very much for your help. I am very confused with this problem. I appreciate the help I get and thank you very much for your help. Thanks very much!
Click here to see answer by robertb(5830)

Question 360651: I must find the distance between these two points P(√5,0);Q(0,2). Im a little thrown off by the radical and I may be nuking it. Help.
Click here to see answer by stanbon(75887)

Question 361328: 1. ^3 sqrt of-64
2. sqrt of 27
3. sqrt of 2/7th
4. sqrt of 5 divided by sqrt of 12
Click here to see answer by edjones(8007)

Question 361584: square root of y+6-3=1
Click here to see answer by solver91311(24713)

Question 362085: Find the vertex, x-intercept(s), and y-intercept of the parabola given by y=7x^2+21x-378. If the parabola does not have any x-intercepts, enter NONE for both coordinates of both intercepts. If it has exactly one x-intercept, enter it as the first intercept and enter NONE for both coordinates of the second intercept. If it has two x-intercepts list them in increasing order.
Click here to see answer by Fombitz(32388)

Question 362081: 5 times the square root of 72 minus 3 times the square root of 98
Click here to see answer by checkley77(12844)

Question 362154: What are the steps in solving the following problem?
2x-1(all under a square root) +2=x
Click here to see answer by HasanSahin(52)

Question 362189: Describe how you would find the decimal equivalent of (3/5)^3
Click here to see answer by Fombitz(32388)

Question 362831: i need help with this one radical
Click here to see answer by robertb(5830)

Question 362945: (16k^4m^-8)^1/3
Click here to see answer by HasanSahin(52)

Question 363519: 5sqrt32 minus 7sqrt8

Click here to see answer by vasumathi(46)

Question 363260: The diagram shows an isosceles right triangle.
The two legs are "x," and the hypotenuse is x radical 2.
A. If its perimeter is 10, find x.
B. If its area is 12, find x.
Click here to see answer by ankor@dixie-net.com(22740)

Question 363597: 16x square root 9 minus 15x square root 9
Click here to see answer by edjones(8007)

Question 363834: how do i express the relation of the cost (c) of a plane trip varies directly as the distance (d) covered?
Click here to see answer by stanbon(75887)

Question 363978: Ron is puzzled. When he uses a graphing
calculator to graph y = [sqrt] x * [sqrt] x Explain why Ron did not get the complete line y1 = x .

Click here to see answer by user_dude2008(1862)

Question 363971: A student incorrectly claims that
5+ [sqrt] 2 / [sqrt] 18 = 2
How could you convince the student that a mistake has been made? How would you explain the correct way of rationalizing the denominator? Using the equation editor, correctly show how to work this problem.

Click here to see answer by edjones(8007)

Question 363976: 1.explain why 3[sqrt] x^6=x2 for any value of x, but x[sqrt^6]= x3 only when x ≥ 0.
Click here to see answer by robertb(5830)

Question 364113: how do I solve the following?
u(square root of (75uy^2)) + 8y (suare root of (48 u^3))
Click here to see answer by amoresroy(361)

Question 364203:
1 divded by the square root of 2 over 2
Click here to see answer by ankor@dixie-net.com(22740)

Question 364383: Please help me solve this equation:
Let f(x)=x^2+2x-1 and g(x)=2x-4. Find 2f(x)-3g(x).
What I have tried was:
2(x^2+2x-1)-3(2x-4)
(2x^2+4x-2)-(6x+12)
2x^2-2x-14
The answer is supposed to be 2x^2-2x+10, but I don't see how you get that.
Click here to see answer by scott8148(6628)

Question 364377: Use synthetic division to show that x is a solution of the third- degree polymonial equation, and use the result to factor the polymonial completely.
List all real zeros of the function.
x^3 - x^2 - 13x -3 =0
Value of x = 2 - square root 5

Click here to see answer by Edwin McCravy(20055)

Question 364498: 11/(5^14) 2/9
Click here to see answer by Alan3354(69443)

Question 364567:
_x^2_ + ___7___ = 1
X^2-4 x+2
Hope this makes sense.
Click here to see answer by edjones(8007)

Question 364929: Find solution to :
[sqrt](2k-1) - [sqrt](k-1) = 1
So far I have added [sqrt](k-1) to both sides of equation in order to isolate one radical.
Now I have to square both sides
([sqrt](2k-1))squared = ([sqrt](k-1) +1)squared
2k-1= ([sqrt](k-1)+1))*([sqrt](k-1)+1))
Somewhere later in my problem I think I am not simplifying correctly. I ended up with :
(k-1)/2 = [sqrt]k-1
so then I was back to squaring both sides of my equation

Click here to see answer by amoresroy(361)

Question 364969: i need help with radicals. here is a question i need help on. on going to type out the word radicals and squares when needed.
6 radical 50xsquare y - 3x radical 8y
Click here to see answer by Alan3354(69443)

Question 365116: I need help. Find all numbers in which the rational expression is undefined.
p^3-2p/p^2-49
Click here to see answer by ewatrrr(24785)

Question 365114: solve (x+3)(x-16)(x+2)>0 The solution set is {x ⎹ }
Click here to see answer by Fombitz(32388)

Question 365082: I am struggling with a distance formula problem that has radicands in the points. I am ok with doing the distance formula d=square root of (x2-x1)sq +(y2-y1)sq.
the points I am trying to find the distance between are:
(4 square root of 2, 3 square root of 5) and (-2 square root of 2, 5 square root of 5)
Click here to see answer by Alan3354(69443)

Question 366539: 4/x-4/y divided by 4/x+4/y
Click here to see answer by amoresroy(361)

Question 366541: on a map of the united states, the distance between Reno and Phoenix is 2.5 inches. the two cities are actually 768 miles apart. on this same map, what would be the distance between St.Louis and Jacksonville, two cities that are actually 919 miles apart?
Click here to see answer by amoresroy(361)

Question 366549: solve
-7X - 23= -25 1/3
x=what

Click here to see answer by ewatrrr(24785)

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