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Tutors Answer Your Questions about Radicals (FREE)
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(6079)   |
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(3296)  |
Question 146186This question is from textbook Elementary Algebra
: 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!!This question is from textbook Elementary Algebra
Click here to see answer by stanbon(26274)  |
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(3296) |
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(26274) |
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(2446)  |
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(7049) |
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(3296) |
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(2446) |
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(26274) |
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(6079) |
Question 146580: the radical sign over 3x + 2 =
i would think i would just square it to eliminate the radical sign and my answer would be 3x + 2 but i am not completely sure.......
in the Answer booklet it provides me 5 possible answers:
* will symbolize the radical sign
....................................
A. * over 3x and then +2
B. (*3)x + 2
C. 3x + *2
D. *3x + *2
E. None of these
( My answer would be none of these because i think the answer might be 3x +2)
PLEASE HELP AND THANK YOU
Click here to see answer by jim_thompson5910(13794) |
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(3495) |
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(450) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915
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