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

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Question 246168: 8 to the power of 2 over 3
Click here to see answer by dabanfield(803) About Me 

Question 246171: Please solve this equation: sqrt(x - 3) => 7
Click here to see answer by oberobic(2304) About Me 

Question 246166: Can you please simplify (9uv)^2(uv)^-3
Click here to see answer by dabanfield(803) About Me 

Question 246705: In this equation w = Cr^-2, (yes the r has the power of -2)I need to solve for r. Can you please help?
Click here to see answer by College Student(505) About Me 

Question 246716: 2.The equation D = 1.2 sqrt h gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet. Solve this equation for h.
Click here to see answer by checkley77(12844) About Me 

Question 246715: Multiply these equations please
(6+ cubed root of 3)(6-cubed root of 3)

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Question 246853: under the square root sign 3x+2=not under square root sign
Click here to see answer by solver91311(24713) About Me 

Question 246816: square root of 245k^7q^8
Click here to see answer by checkley77(12844) About Me 

Question 246712: Rationalize the denominator please
3√4/6
√2divided by 2√6-√2

Click here to see answer by solver91311(24713) About Me 

Question 247478: 26 5squared - 11 5 squared

Click here to see answer by checkley77(12844) About Me 

Question 247475:
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Question 247927: i need to no how to solve this problem can u show me
2(x+5)+3x=3(-2x-1)

Click here to see answer by scott8148(6628) About Me 

Question 247279: How would one go about solving sqrt(2x-1) + sqrt(x) = 2
Click here to see answer by richwmiller(17219) About Me 

Question 248068: How can I simplify the square root of 81 m to the power of 10
Click here to see answer by oberobic(2304) About Me 

Question 248155: Between what two consecutive integers does each of the following lie?
1. square root of 11.
2. square root of 33.
3. square root of 8.
4. cube root of 220.
5. cube root of -80.
6. fourth root of 20.
7. square root of 300.
8. fifth root of -35.
9. square root of 150.
10. cube root of -312.
Thanks a lot. Your answers will be highly appreciated.c:

Click here to see answer by checkley77(12844) About Me 

Question 248264: Virginia's phone has a range of 1000 ft. Her apartment is 180 ft high (where the base of the phone is located). She must go down and walk on a sidewalk that is 600 ft and turn left and walk 400ft to reach the community pool. Will Virginia be able to use her phone at the pool?
(This one was hard to describe because it had a picture showing the directions she is going and how many feet. The last question I answered from this section used the pythagorean equation to figure the answer but in the figure for this question it was not shaped like a triangle... so I do not know what to do?)

Click here to see answer by stanbon(75887) About Me 

Question 248258: A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder?
Click here to see answer by kweeks812(1) About Me 

Question 248679: The following problem was on my final exam last night, and I cannot figure this out. I am trying to simplify this equation:
[3 + b(to power of -1)]
over
[2 + b(to power of -1)]
What I did was turn the b to -1 power into 1 over b. Rewrite equation as
(3 + 1 over b)
over
(2 + 1 over b)
Then I multiplied out to remover the denominator of b in each part of the overall equation. Rewrite equation as
3b+1
over
2b+1
Then i multiplied out to remove the denominator of 2b+1. Rewrite as:
(3b+1) (2b+1) which is also 6b squared + 2b + 3b + 1. Rewrite as:
6b squared + 5b + 1.
Is this correct??

Click here to see answer by jim_thompson5910(35256) About Me 
Question 248679: The following problem was on my final exam last night, and I cannot figure this out. I am trying to simplify this equation:
[3 + b(to power of -1)]
over
[2 + b(to power of -1)]
What I did was turn the b to -1 power into 1 over b. Rewrite equation as
(3 + 1 over b)
over
(2 + 1 over b)
Then I multiplied out to remover the denominator of b in each part of the overall equation. Rewrite equation as
3b+1
over
2b+1
Then i multiplied out to remove the denominator of 2b+1. Rewrite as:
(3b+1) (2b+1) which is also 6b squared + 2b + 3b + 1. Rewrite as:
6b squared + 5b + 1.
Is this correct??

Click here to see answer by stanbon(75887) About Me 

Question 248888: Hi. My question is how do I write the following in simplified radical form by rationalizing the denominator?
2sqrt2+1
________
-5sqrt2+3
I've been at it for 2 hours. I've tried using the conjugate but it's confusing because it seems to be written in a different form than the textbook. I've gotten 2 different answers, the latest one being:
-3-21sqrt2
__________

41
I'm not sure if I doing this right. If someone could help me, it would be greatly appreciated. Thank you.

Click here to see answer by Theo(13342) About Me 

Question 248971: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
-√(25/12)

Click here to see answer by checkley77(12844) About Me 

Question 249343: 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 tutorcecilia(2152) About Me 

Question 249392: how to simplify the expression (sqrt8) and write it in radical form.
Click here to see answer by oberobic(2304) About Me 
Question 249392: how to simplify the expression (sqrt8) and write it in radical form.
Click here to see answer by College Student(505) About Me 

Question 249706: how do you simplify the 8th root of 16x^4 y^12
Click here to see answer by jsmallt9(3758) About Me 

Question 249850: What is the cube root of 150 simplified?
Click here to see answer by solver91311(24713) About Me 

Question 249979: 7x under the root over 12x under the root

Click here to see answer by richwmiller(17219) About Me 

Question 250096: A natural number decreased by 30 times its reciprocal is 1. Find the natural number.
Click here to see answer by stanbon(75887) About Me 

Question 250099: what number can be subtracted from the numerator and denominator of the fraction 14/17 so that the value of the new fraction will 9/11?
Click here to see answer by checkley77(12844) About Me 

Question 250283: In order for two radicals to be like radicals, what should they have in common?


Click here to see answer by richwmiller(17219) About Me 

Question 250311: How would you simplify this problem?
radical 3 over radical 21
Would you divide numerator and denominator by 3, getting: 1 over radical 7?
Then would you multiply both the numerator and denominator by radical 7? Resulting in: radical 7 over 7 as the final answer?

Click here to see answer by richwmiller(17219) About Me 

Question 250468: a(square root 25a)+ (square root 64a) + (sqaure root a). if a = 4.

Click here to see answer by MRperkins(300) About Me 

Question 250634: Radical Equation.
The square root of 110-n = n.
I keep getting stuck here because there ends up being a squared n and a single n. I am not sure what to do here.

Click here to see answer by lbmore@yahoo.com(1) About Me 
Question 250634: Radical Equation.
The square root of 110-n = n.
I keep getting stuck here because there ends up being a squared n and a single n. I am not sure what to do here.

Click here to see answer by solver91311(24713) About Me 

Question 250704: solve: sqrt(6) + sqrt(16)

Click here to see answer by richwmiller(17219) About Me 

Question 250959: I have 2 math problems that I am stuck on. I would appreciate any help available. Thank you!!!
Simplify by removing factors of 1 (for both problems).
m^2 - 49 /(m+7)^2
and
6q^2 + 6q / 30q^2 + 36q

Click here to see answer by stanbon(75887) About Me 

Question 250978: This really has me confused!!!
(x+5)(x-20)(x+3) > 0
Thank you for all your help!!!

Click here to see answer by vksarvepalli(154) About Me 
Question 250978: This really has me confused!!!
(x+5)(x-20)(x+3) > 0
Thank you for all your help!!!

Click here to see answer by Fombitz(32388) About Me 

Question 251059: Write a narrative description of what you would do to simplify (16)^1/2
Click here to see answer by richwmiller(17219) About Me 
Question 251059: Write a narrative description of what you would do to simplify (16)^1/2
Click here to see answer by solver91311(24713) About Me 

Question 251080: simplfy Sqrt(14) * Sqrt(6)
Click here to see answer by MRperkins(300) About Me 

Question 251084: simplify:
8^2/8
8^1/8

Click here to see answer by checkley77(12844) About Me 

Question 251082: sq rt (32x^5y^2)
Click here to see answer by checkley77(12844) About Me 

Question 251107: Simplify the Radical
The square root of x to the 7th power

Click here to see answer by vleith(2983) About Me 

Question 251081: Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide a third expression to simplify that includes rational (fractional) exponents.

Click here to see answer by richwmiller(17219) About Me 

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