# 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 145403: The distance in miles that can be seen on the surface of the ocean is given by d=1.4√h where h is the height above the surface of the water. How many feet high above the water (to the nearest tenth) would a pirate have to climb to see 16 miles? Click here to see answer by Alan3354(30993)

 Question 145513: 4y^2-2y _______ 5y^2-5y how do i solve this equation? Click here to see answer by stanbon(57352)

 Question 145789: I am trying to find out how to solve the square root of 72 + 3y square root of 2 Click here to see answer by jim_thompson5910(28595)

 Question 145986: What is a equation equivalent to : x over x-2 divided by 4 over x squared - 4 Click here to see answer by ankor@dixie-net.com(15652)

 Question 146097: (x-6x sq root x)=0 Solve for x In response to an inquiry -I was told to "use the conjugate". After yet another inquiry, I was given: (x-6x sq root x)(x+6x sq root x)=0(x+6x sq root x) = x squared -36xsquaredx and told to solve by factoring it out. I understand the conjugate part (kind of) but I've never seen -36xsquaredx! How do I factor this out? By the way, I know the answer is {0,1/36} and I still can't figure it out. This is an online course. I have searched the book and cannot find a sample of this problem anywhere. Click here to see answer by edjones(7569)

 Question 146090: what is 3513 divided by 5 with remainders not decimal Click here to see answer by edjones(7569)

 Question 146186: Thank you for allowing me to ask a question. My instructions say: Simplify What I've tried: I broke 4 square root 8 down to 4 square root 2 times 2 times 2, multiplied 6 over the square root 2 by square root 2 over square root 2, this gave me 8 square root 2 minus 2 times 3 square root 2 over 2, which I then croseed out the 2 over 2 and am left with 8 square root 2 minus 3 square root 2. I believe my answer is 5 square root 2. Thanks for any input!! Click here to see answer by stanbon(57352)

 Question 146249: how do you solve √v-4 = 3 i know that the answer is 13.. but i don't understand how. i keep on getting -2.5/4 Click here to see answer by jim_thompson5910(28595)

 Question 146301: The expression (Sqrt of x + Sqrt of y)^2 is not equal to x+y for every nonnegative x and y. 1. Why is this? 2. How do I find a value of x and y for which this is true, that is (sqrt of x + sqrt of y)^2 = x + y. (Also, what is this value?) Thank you for your time and help with this question, I hope it is clear enough to understand.) This question is not from a text book, it is from a worksheet. Click here to see answer by edjones(7569)

 Question 146393: Problem: The owner of a health foods store determines that the demand equation for selling a nutritional supplement is p=18-0.5√(x-4) where p is the price in dollars and x is the number of bottles demanded per week. How many bottles are demanded per week if the price of the supplement is \$13.50? Help So confused!! Click here to see answer by stanbon(57352)

 Question 146485: Invisible numbers...Perform indicated operation. Write results in the form of a+bi 6 / 5-2i Six divided by five minus 2i. I started this problem by mutiplying the numerator and the denominator by five minus 2i. I obtained the answer of 30 -12i for the numerator...and I do not know what to do after that. Thanks! Click here to see answer by nerdybill(6959)

 Question 146486: Use quotient rule to divide and simplify. Sqrt (128x^9) / sqrt (2x) Sqrt of 128x^9 divided by sqrt of 2x. I solved the problem but I am unsure how to write the solution. The sqrt of 128x^9 = 8x^4..... and the sqrt of 2x = 2x. I do not know how to write the solution. Thanks! Click here to see answer by checkley77(12569)

 Question 146481: Mutiply and simplify sqrt (5) +2 * sqrt(5)- 2 I did this problem using the foil method. I do not know what to do after I used the foil method. I took an estimated guess of 5-2 sqrt (2). Thanks! Click here to see answer by checkley77(12569)

 Question 146483: Rationalize the numerator and simplify. 5 sqrt (x) / sqrt (7y) Five sqrt of x divided by sqrt of 7y. I started this problem by mutiplying the numerator of 5 sqrt (x) to the numerator and the denom. Not sure what to do after that. Thanks! Click here to see answer by edjones(7569)

 Question 146482: Rationalize the denominator and simplify. 3 / sqrt (x+5) Three divided by sqrt of x plus five. I started this problem by multiplying the denominator of Sqrt (x+5) by the numerator and the denominator. Not sure where to go after that..not even sure how to mutiply the sqrt and 3. Thanks! Click here to see answer by nerdybill(6959)

 Question 146480: Using properties of exponents to simplify-write with positive exponents. x^3/7 - x^1/5 divided by x^-1/2 I have no clue where to start, but I thought I would start by trying to get a common denom of the exponents which I thought would be 35. I am lost! Thanks so much! Click here to see answer by stanbon(57352)

 Question 146575: Rationalize the denominator an simplify. 3 / sqrt (x) + 5 three divided by sqrt (x) plus five. I started by mutiplying the demoninator of sqrt (x) + 5 to the numerator and the denominator. Next I distributed the numerator and squared the denominator. Not sure where to go after that. Thanks! Click here to see answer by Alan3354(30993)

 Question 146586: one fourth equals 3 subtract twox subtract 1 divided by x plus two 1/4=3-2x-1 divide by x+2 I am having a problem getting the x on one side Click here to see answer by jim_thompson5910(28595)

 Question 146670: Cuberoot(x-4)=2 Don't understand what to do with this problem? Click here to see answer by jim_thompson5910(28595)

 Question 146673: squareroot x+20-x=0 not sure what to do for this problem. Which x do you get ride of first the positive or negetive? Click here to see answer by Alan3354(30993)

 Question 146707: Simplify the rational expression the first set is over the bottom i dont know how to draw a line here and didnt want to use "/" in case that would cause some confusion so its x^2 – 7x + 12 over x^2 – 16 thanks x^2 – 7x + 12 x^2 – 16 Click here to see answer by Nate(3500)

 Question 146709: again these are over each other for example x^2 - 3x + 2 is over 7x - 14 Divide: x2 – 3x + 2 7x – 14 ÷ x^2 – 1 7x + 7 Click here to see answer by jim_thompson5910(28595)

 Question 146715: Perform the indicated operations: 3sqrt[3] + 2sqrt[27] –sqrt[12] Click here to see answer by edjones(7569)

 Question 146734: x minus the square root of -2x+21 = 9. What does x equal? Im not sure how to write the radical sign but -2x+21 is whats under the radical sign. Click here to see answer by nabla(475)

 Question 146736: 4-x/x-2=-2/x-2 I am not sure where to start in this problem? I am thinking that the both x-2 will cancelle out but i am not to sure if that is correct. Click here to see answer by jim_thompson5910(28595)

 Question 146895: Simplify the radical: sqrt50xy^15 is the numerator sqrt2xy is denominator. sqrt50xy^15 ___________ sqrt2xy Assume that all variables represent positive numbers. thanks Click here to see answer by Fombitz(13828)

 Question 146943: Please explain the steps for each example Here's my first example: (8/7) divided by (16/35) = (8 / 7) * ( 35 / 16) = (8 / 7) * ( 7 * 5 / 8 * 2) = (== / ==) * ( ==* 5 / ==* 2) = 5/2 Here's my second example: (x - 8)/(x + 2) divided by (x^2 - 9x + 8)/(x^2 - 4) = (x - 8) / (x + 2) * (x^2 - 4) / (x^2 - 9x + 8) = (x - 8) / (x + 2) * (x - 2)(x + 2)/(x - 8)(x - 1) = ( === ) / ( === ) * (x - 2)( === )/( === )(x - 1) = (x - 2) / (x - 1) what is similar between the two examples. Thank you very much Click here to see answer by mangopeeler07(462)

 Question 147372: square root of 5-x =x-3 How do i solve this. I've tried squaring both sides but when it comes to figuring out the two possibilities it never comes out understandable...can u please help and show some steps for me. Click here to see answer by jim_thompson5910(28595)