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

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Tutors Answer Your Questions about Radicals (FREE)


Question 147400: State the domain of m(x)= 5/x^2-9
Help???

Click here to see answer by mangopeeler07(450) About Me 

Question 147401: State the domain of l(x)=5x-4
what is the case here??

Click here to see answer by stanbon(26297) About Me 

Question 147444: Consider the equation 4x^2 – 4x + 5 = 0.
(i) Compute the discriminant, b2 – 4ac, and then state whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.
(ii) Use the quadratic formula to find the exact solutions of the equation.


Click here to see answer by Nate(3495) About Me 

Question 147445: 6/2-x +6/x+7=61/2-x
how do i figure this out..... i have a quiz soon on questions like these and I'm not getting it..... can you please show me the steps?

Click here to see answer by jim_thompson5910(13794) About Me 
Question 147445: 6/2-x +6/x+7=61/2-x
how do i figure this out..... i have a quiz soon on questions like these and I'm not getting it..... can you please show me the steps?

Click here to see answer by vleith(1977) About Me 

Question 147677: Simplify
Click here to see answer by jim_thompson5910(13794) About Me 

Question 147680: Multiply:
(8√[6] + 3√[2])(4√[6] – 5√[2])

Click here to see answer by jim_thompson5910(13794) About Me 

Question 147682: Rationalize the denominator:


Click here to see answer by jim_thompson5910(13794) About Me 

Question 147665: 1/2√8-1/3√27+4√50
Click here to see answer by mangopeeler07(450) About Me 

Question 147668: 3√27-3√81+3√75-1/2√36
Click here to see answer by stanbon(26297) About Me 

Question 147667: 4√50/5-2√27/3+3√48-2√18/3
Click here to see answer by stanbon(26297) About Me 

Question 147666: -1/4√48+√32-3/4√48
Click here to see answer by stanbon(26297) About Me 

Question 147655: (1/x)*square root of (1/z (raised to the 5th power))
Click here to see answer by edjones(3298) About Me 

Question 147866: 4x+34x+42 it says factor completely can u show me how
Click here to see answer by checkley77(7072) About Me 

Question 148006: How many integers are there between 5 and 14?
Click here to see answer by nerdybill(2448) About Me 

Question 148082: What is x in the equation:
=

Click here to see answer by stanbon(26297) About Me 

Question 148091: the directions are: Simplify. Assume that varibles represnt positive real numbers.
can you please help me with. ^3 inside the square root symbol is (27y^3/z^4)
I blieve that the top number is 3y, but I don't know how you take the fourth power when the radital is rasied to a 3.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 148103: please explain how to solve
2x+(x+1)^=8

Click here to see answer by jim_thompson5910(13794) About Me 

Question 148158: Simplify
Click here to see answer by jim_thompson5910(13794) About Me 
Question 148158: Simplify
Click here to see answer by stanbon(26297) About Me 

Question 148156: simplify: the square root of 72x^5y^6
Click here to see answer by stanbon(26297) About Me 

Question 148369: Will you please help me solve square root of 36 + the square root of 54.
I tottally forgot how to do this, it is part of my summer assignment.
Thanks,
Holly

Click here to see answer by mangopeeler07(450) About Me 

Question 148439: y=ax^2-8x-3 x=2
Click here to see answer by checkley77(7072) About Me 

Question 148682: How do I calculate the square root of 14,641 and how do I calculate the 6th root of 46,656,000,000. These are part of my summer assignment.
Click here to see answer by stanbon(26297) About Me 

Question 148689: The problem is stated as such: 255 is what root of 16,581,375.
How do I go about solving this?

Click here to see answer by stanbon(26297) About Me 

Question 148770: I am having a difficult time with Quadratic coefficients like:
trying to find x1_____ and x2_______
x2 = 1.5x + 0.5
a=__________ b=______________ c=______________

x2 = 4.41x
a=_______________ b=_______________ c=____________
I have six problems like this, I just can't wrap my brain around this.

Click here to see answer by stanbon(26297) About Me 

Question 148836: simplify:
Click here to see answer by Alan3354(6097) About Me 

Question 148835: Can this equation be solved? If so, solve for x.
^/¯x + 7 = x + 7
(x + 7 is in the radical sign on the right)

Click here to see answer by Alan3354(6097) About Me 

Question 148696: ???Multiply the square root of 361 by the 4th root of 625. Can you please break down by step? Along the the bottom 2 questions?

What is the 3rd root of 64x13y3 and what is the 4th root of 4,096x4y10?

Click here to see answer by Alan3354(6097) About Me 

Question 148837: rewrite the exponential expression as a radical expression:
-3x^1_3x^2_3

Click here to see answer by Alan3354(6097) About Me 

Question 148951: I need to simplify: -5+ the square root of 3 divided by 1 - the square root of 2. I believe the first step would be to elimate the radical from the denomenator so I would multiply by square root of 2 on the bottom and top. From there I am stuck.
I thought it would be: -5+ square root of 3 times the square root of 2, divided by 1 - the square root of 2 time the square root of 2. Which equals: -5square root of 2 + square root of 6 divided by -1. Where am i going wrong?

Click here to see answer by Alan3354(6097) About Me 

Question 148973: My homework question is:
The diagonal of a square measures 10 inches. What is the length of the sides?
I understand the Pythagorean theorem should be used here. Which would be 10^2=a^2+b^2
10^2 = the hypotenuse and
a^2 and b^2 would be the legs
the solutions I have to choose from are:
10Square root of 2 inches
5 inches
5square root of 2 inches
and 5 square root of 3 inches
The only one that seems reasonable would be 5 inches but I can't solve to find the legs.
Please help

Click here to see answer by mangopeeler07(450) About Me 

Question 148978: My homework question is:
Solve (z+2)^-2/3=4
This is what I did:
2^-z/3 + 2^-2/3 = 3
[1/(z+2)^2/3]^3 = 3^3
1/(z+2)^2 = 27
1/2^2+4z+4 = 27
1= 27(z^2+4z+4)
1= 27z^2+108z+108
-1 from each side
27z^2+108z+107=0
From here I think Im supposed to factor but dont know what to do?
Help?

Click here to see answer by stanbon(26297) About Me 

Question 148986: Solving for :
3square root of z-2 =4
Is the first step raising to the power of 3?

Click here to see answer by mangopeeler07(450) About Me 
Question 148986: Solving for :
3square root of z-2 =4
Is the first step raising to the power of 3?

Click here to see answer by stanbon(26297) About Me 

Question 149080: going skiing. Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 149079: installing a dishwasher. A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice, the job takes 40 minutes. How long would it take the apprentice working alone to install the dishwasher?
Click here to see answer by ankor@dixie-net.com(6693) About Me 
Question 149079: installing a dishwasher. A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice, the job takes 40 minutes. How long would it take the apprentice working alone to install the dishwasher?
Click here to see answer by solver91311(5072) About Me 
Question 149079: installing a dishwasher. A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice, the job takes 40 minutes. How long would it take the apprentice working alone to install the dishwasher?
Click here to see answer by Electrified_Levi(103) About Me 

Question 149243: Rationalize the denominator:
Rationalize the denominator:
____5____
√[3] + √[5]

Click here to see answer by nerdybill(2448) About Me 

Question 149357: Two ranchers sold a herd of cattle and received as many dollars for each animal as there are animals in the herd. If there were two animals, they received $2 per animal; if there were three animals, they received $3 per animal; etc. As an example, if there were eight animals in the herd, the value of the herd would be $64 ($8 per animal times 8 animals in the herd). We’re told that they started with no more than 20 cattle.

With the money, they bought as many sheep as they could at $10 per head, and a goat with the remainder (less than $10). Finally they divided the animals between them. There was however, an odd number of sheep. So, one rancher took the extra sheep and the other the goat. The rancher who got the goat was given his friends new pocket knife as compensation. If this was to be an equal monetary division, what was the value of the pocketknife.

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 149709: perform & simplify:
3√2-2√3
_______
3√2+2√3

Click here to see answer by josmiceli(3013) About Me 

Question 149710: simplify:
5√9a³b³ + 4a√36ab³ - 2b√81a³b

Click here to see answer by checkley77(7072) About Me 

Question 149813: This problem is from a chapter dealing with Quadratic Equations and Inequalities
The members of a travelling club plan to share equally the cost of a $150,000 motor home. If they can find 10 more people to join and share the cost, the cost per person will decrease by $1,250. How many members are there originally in the club?

Click here to see answer by scott8148(3385) About Me 

Question 149817: Is sqrt of a + sqrt of b = sqrt a+b for all values of a and b?
Click here to see answer by jim_thompson5910(13794) About Me 

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