Tutors Answer Your Questions about Radicals (FREE)
Question 768393: I need help please.
Simplify 4√(16x^4y^5)^4√(243y^7) assuming the variables represent non-negative numbers?
I got 4√243y^7*y^5*16x^4 = 4√3*3*3*3*3*2*2*2*2*y^4*y^4*y^4*x^4 = 6y^3x 4√3 but that's wrong. Answer Options:
A. 6xy^3
B. 2xy 4√y3 4√3y 4√y^3
C. 6x^2y^2 4√3
D. 6 4√3xy^3
Click here to see answer by Alan3354(69443)   |
Question 768404: I need help please.
Simplify 2 sqrrt2(-sqrrt8 + 2 sqrrt6)
I got 2squrrt2*-squrrt8*2squrrt2*2squrrt6 = -2sqrrt16+4squrrt12= 2squrrt4*squrrt4+4squrrt12 = -2(2)(2)=4squrrt12 = -8+4squrrt12 (answer B) but it was wrong?
Answer Options:
A. -2 squrrt16 + 4 squrrt12
B. 4 squrrt12 - 8
C. 8 squrrt3 - 8
D. 8 - 4 squrrt12
Click here to see answer by Alan3354(69443) |
Question 768523: Help would be REALLY REALLY REALLY appreciated!
1. Assume that a surveyor stands at the top of a mountain that is "h" feet tall. If the distance (in feet) that he can see is defined by d = 3200.2 SQRT(h), then answer the following. (a) How far can the surveyor see from the top of a 2000-foot mountain? (b) How tall is the mountain, if the surveyor can see 15 miles? (Note: 1 mile equals 5280 feet.)
2. Suppose the altitude of a rising hot-air balloon is given by h = 0.04 t2 + 2t, where "t" is the time in seconds after the balloon leaves the ground. How long will it take for the balloon to reach an altitude of 200 feet?
3. Devon tosses a horseshoe at a stake 30 feet away. The horseshoe lands no more than 3 feet from the stake. Write an absolute value inequality that represents the range of distances that the horseshoe travels.
How in gods name do you do these problems?
Click here to see answer by Alan3354(69443) |
Question 768971: Please double-check me.
Choose the best description of the radical expression  .
I thought it was in its simplified form, but I'm missing something. Is it A?
Answer Options:
A. It can be simplified, but the result is a complex number.
B. It can be simplified to -3.
C. It is in simplified form.
D. It can be simplified to -
Click here to see answer by solver91311(24713)  |
Question 768976: Hello,
I need help please.
Expand (squrrtC + squrrtD)^2 and simplify. Assume c≥0 and d≥0
It seems simple, but I am not understanding how to work this one.
Answer Options:
A. |c| + 2|cd| + |d|
B. c + 2 sqrrt cd + d
C. c^2 + 2cd + d^2
D. c^2 - d^2
Click here to see answer by solver91311(24713) |
Question 768976: Hello,
I need help please.
Expand (squrrtC + squrrtD)^2 and simplify. Assume c≥0 and d≥0
It seems simple, but I am not understanding how to work this one.
Answer Options:
A. |c| + 2|cd| + |d|
B. c + 2 sqrrt cd + d
C. c^2 + 2cd + d^2
D. c^2 - d^2
Click here to see answer by oscargut(2103)  |
Question 768973: I need help please.
Solve squrrt2x + x = 4 for x.
I got lost, so my answer isn't an option. Not sure where I went wrong.
sqrrt2x + x = 4
sqrrt2x -x = 4 - x
sqrrt2x = 4-x
(squrrt2x)^2 = (4-x)^2
2x = 16-4x-4x+x
2x = 16-8x+x
2x = 16-7x
16-9x
-16/9 = x?
Answer Options:
A. x = 2
B. The two solutions are complex numbers.
C. x = 4 or x = -4
D. x = 2 x = 8
Click here to see answer by oscargut(2103) |
Question 768973: I need help please.
Solve squrrt2x + x = 4 for x.
I got lost, so my answer isn't an option. Not sure where I went wrong.
sqrrt2x + x = 4
sqrrt2x -x = 4 - x
sqrrt2x = 4-x
(squrrt2x)^2 = (4-x)^2
2x = 16-4x-4x+x
2x = 16-8x+x
2x = 16-7x
16-9x
-16/9 = x?
Answer Options:
A. x = 2
B. The two solutions are complex numbers.
C. x = 4 or x = -4
D. x = 2 x = 8
Click here to see answer by lwsshak3(11628) |
Question 768973: I need help please.
Solve squrrt2x + x = 4 for x.
I got lost, so my answer isn't an option. Not sure where I went wrong.
sqrrt2x + x = 4
sqrrt2x -x = 4 - x
sqrrt2x = 4-x
(squrrt2x)^2 = (4-x)^2
2x = 16-4x-4x+x
2x = 16-8x+x
2x = 16-7x
16-9x
-16/9 = x?
Answer Options:
A. x = 2
B. The two solutions are complex numbers.
C. x = 4 or x = -4
D. x = 2 x = 8
Click here to see answer by solver91311(24713) |
Question 768979: Please help.
Rationalize the denominator of √x+√y/√x-√y assuming x ≥ 0 and y≥0.
I'm not sure how to work this one, so I'm getting stuck.
√x+√y/√x-√y * √x+√y/√x+√y
x^2+xy+yx+y^2/x^2+xy-yx-y^2
yx+y^2/-yx-y^2 then I'm stuck as I'm obviously going down the wrong path.
Answer Options:
A. x+y/x-y
B. x+2√xy+y/x-y
C. √x-√y/√x+√y
D. x^2+y^2/x^2-y^2
Click here to see answer by mananth(16946)  |
Question 769619: Select the equation of the line that passes through the given two points. Note that the correct equation may not be in slope-intercept form (solve for y to get the slope-intercept form).
11. (-6,8),(10,-56)
A y = -4 - 16x
By = - 16
C4x + y = -16
D2x + y = 16
E y = -6 - 8x
F y = -16 + 4x
12. (4,5), (19,-7)
A -12x = -123 + 14y
B-12x = -123 + 15y
C-6x = 19 + 5y
D4x + 5y = 41
E 5x + 5y = 10
F -16x = 312 - 19y
Click here to see answer by KMST(5328)  |
Question 770578: What is the simplified form of the square root of the quantity 72 times n to the thirteenth power.?
8nthe square root of the quantity 3 times n to the sixth power.
3n6the square root of the quantity 8 times n.
8n6the square root of the quantity 3 times n.
6n6the square root of the quantity 2 times n.
Click here to see answer by stanbon(75887) |
Question 770818: How do i go about factoring: sqrt(128)
I looked online on how to solve radicals and i found a simple tutorial, i looked for questions and found the one above, what i did was:
sqrt (128)
sqrt (128)= sqrt(64 x 2)
sqrt (128)= sqrt(64) x sqrt(2)=sqrt(16 x 4) sqrt (2)
sqrt (128)= sqrt(64) x sqrt(2)=sqrt(16) x sqrt (4) x sqrt (2)
~sqrt(16) x sqrt(4) x sqrt(2)-> sqrt(4x4) x sqrt(4x1 or 2x2?) x sqrt(2)
Some questions i have:
1: Would i divide the "sqrt (4) by 4 because it is a perfect square to make it "sqrt (4 x 1), or by 2 because 2x2 is 4? and sqrt(4) is 2?
2: I get confused as to what it means as to multiplying the numbers that stay out to the outside number, if you understand this question, could you explain it?
3: Is there a simpler way to solve this? i know of a tree/branching format but it looks confusing.
4: Which method sets me up better to factor, Box or F.O.I.L, why? My teacher had said F.O.I.L but i am not sure as to why. I prefer the Box method because it seems to involve less steps and gets me to an answer right away.
Any feedback is appreciated.
Click here to see answer by oscargut(2103) |
Question 772909: The time in seconds that it takes for an object to fall from rest is given by t=1/4 sqrt(s), in which s is the distance fallen (in feet). Find the time required for an object to fall from the ground from a building that is 800 feet high. Round your answer to the nearest hundredth of a second.
Click here to see answer by stanbon(75887) |
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