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

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 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)

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

 Question 582193: 3square root of 2 plus 3 square root of 18 Click here to see answer by dfrazzetto(277)

 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)

 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)

 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)

 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)

 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)
 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)

 Question 584198: simplify and rewrite it in an equivalent form with positive exponents 24x^3y^-3/72x^-5y^-1 Click here to see answer by JBarnum(2044)

 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 Click here to see answer by Alan3354(31538)

 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)

 Question 584997: Simplify. Remember to use absolute-value notation when necessary. If a root cannot be simplified, state this. 5 √-1/32 Click here to see answer by lwsshak3(6770)

 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)

 Question 585272: Rationalize the denominator and simplify. 12 ---- √7+2 Click here to see answer by lwsshak3(6770)

 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)

 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)

 Question 586369: Find the domain of: f(x)= the 4th root of x-1 Click here to see answer by Tatiana_Stebko(1326)

 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(31538)

 Question 587585: I dont know how to do this? 4/√11 Click here to see answer by Alan3354(31538)

 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)

 Question 587718: 2 over the square root of 5???? as in a fraction of 2/ (square root) 5 Click here to see answer by stanbon(57984)

 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)

 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)

 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(15747)

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