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

Tutors Answer Your Questions about Radicals (FREE)

Question 28449: Solve the equation: Square root of x^3=27. Do you get rid of the cube for both sides so you get 9? what am I suppose to be looking for?
Click here to see answer by longjonsilver(2297)

Question 28394: I need to solve this equation: x^(1/4)-10x^(1/8)+21=0 for x.
I totally forgot how to do this. My instructor mentioned something along the lines of this: t=x^(1/8) in this equation: at^2+bt+c=0
Still lost... Thanks!
Click here to see answer by venugopalramana(3286)

Question 28204:
Click here to see answer by allie8(1)

Question 28556: (a)square root of x-2 = 1
(b) square root of x to the 3rd power = 27
(c) square root in the 3rd power of x to 2nd power = 9
Click here to see answer by stanbon(57984)

Question 28755: If(x+2) is one factor of 9x^3+10x^2-17x-2, use synthetic division to find all roots?
I attempted to do it but, I am not able to find a answer that will work?
Click here to see answer by stanbon(57984)

Question 29056: To estimate how long a thunderstorm will last, meteorologist can use the formula t= square root of d^3 over 216, where t is the time in hours and d is the diameter of the storm in miles.
1) A thunderstorm is 8 miles in diameter. Estimate how long the storm will last. Give your answer in simplified form and as a decimal(homework asked this, not me)
2) Will a thunderstorm twice this diameter last twice as long?Explain.
Click here to see answer by josmiceli(9819)

Question 29115: square root 2x-5 = 1+ square root x-3
I understand I have to square both sides. Where I lose it is here:
squaring 1 + square root x-3. My textbook has: 2times square root x-3 (end square root) + (x-3)
Thanks
Click here to see answer by longjonsilver(2297)

Question 29173: x^1/3 multiplied by x^5/2, divided by x^-1/5
-- the directions on the problem say "simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive when they appear."
Thank you! Kim
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29186: Help me pls.. Multiplying Radicals

Click here to see answer by Nate(3500)

Question 29134: To estimate how long a thunderstorm will last, meteorologist can use the formula: t= square root of d^3 over the square root of 216, where t is the time in hours and d is the diameter of the storm in miles.
1) A thunderstorm is 8 miles in diameter. Estimate how long the storm will last. Give your answer in simplified form and as a decimal(book asked this, not me)
2)Will a thunderstorm twice this diameter last twice as long?Explain
Click here to see answer by Nate(3500)

Question 29221: Please help me:
If f(x)=square root of x-2 minus square root of 4x+1, find a such that g(a)= -3
Click here to see answer by Nate(3500)

Question 29284: (sqrt7-sqrt11)(2sqrt7+3sqrt11)
I tried to foil but I don't understand the square root equality. I keep trying but I can't help thinking that I keep on getting the wrong answer.
Thanks!
Click here to see answer by longjonsilver(2297)

Question 29360: Someone please help me by Solving Equations With Radicals, thanks!
1.

2.

3.
4.
Click here to see answer by askmemath(368)

Question 29360: Someone please help me by Solving Equations With Radicals, thanks!
1.

2.

3.
4.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29360: Someone please help me by Solving Equations With Radicals, thanks!
1.

2.

3.
4.
Click here to see answer by josmiceli(9819)

Question 29403: 9^3/2=

Click here to see answer by Bb(19)

Question 29403: 9^3/2=

Click here to see answer by stanbon(57984)

Question 29489: For all x > 0 and y > 0, the radical expression _ Öx ---------- 3Öx - Öy is equivalent to ____?

Click here to see answer by AnlytcPhil(1278)

Question 29617: how do you fin the lgs of an isosceles triangle when te hypotenuse is 41.
i really need help on 45-45-90 tiangles and 30-60-90 triangles
Click here to see answer by askmemath(368)

Question 29608: What is the square root of 2x+5 (both under the square root symbol) equals 2+the square root of x-2 (also both under the square root symbol)?
Click here to see answer by longjonsilver(2297)

Question 29836: The function f(x)= 29x to the 1/3 models the number of plant species, f(x), on the islands of the Galopagos in terms of the area, x, in square miles, of a particular island. Use the function to solve:
What is the area of a Galapagos Island that has 58 species of plants.
Can you get me started here? I have no idea of even where to begin.
Thanks in advance.
Click here to see answer by longjonsilver(2297)

Question 29886: Oh lord, please help!!
Simplify the expression. Include absolute bars where necessary.
6√g to the 6th power
Thank you in advance.
Click here to see answer by askmemath(368)

Question 29890: Solve the equation
√2x + 5 - √2x – 4 = 3
Help!!! Please expalin this!!

Click here to see answer by Cintchr(481)

Question 29889: Add or subtract as indicated
5√75x³ + √3x
thanks for your help. I don't know what to do here.

Click here to see answer by Cintchr(481)

Question 29889: Add or subtract as indicated
5√75x³ + √3x
thanks for your help. I don't know what to do here.

Click here to see answer by sdmmadam@yahoo.com(530)

Question 29888: Multiply and simplify. Assume that all variables in a radicand represent positive real numbers. The 3 here is the cube root.
3√50x10γ * 3√25x16γ to the 7th power
Can you tell me how to get started.
Thanks so much!!!

Click here to see answer by Cintchr(481)

Question 30005: Rationalize the denominators and simplify are the instructions from my instructor
3w over square root of y
i came up with 3w as a solution is this correct and could u show me how u came to get a solution

Click here to see answer by Cintchr(481)

Question 30019: O.K My instructions were " for each function, find the specified function value, if it exists." The problem is
f(t)= square root of 5t-10; f(6), f(2), f(1), f(-1)
I can't figure out how to get the answers and what is "Does Not Exist"?
PLease help and thanks
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30007: Add or Subtract
2 root of 18 minus 6 root of 18
please show me steps on how you solved the problem

Click here to see answer by ikdeep(226)

Question 30047: 6 root 6 over 3 root 6 - 5 root 2
Click here to see answer by longjonsilver(2297)

Question 30069: Multiply and Simplify.
3(radical sign)50x^10y * 3(radical sign)25x^16y^7
The three's here are the cube root not multiplied. I hope this is understandable. I can't figure out how to get the radical sign in this text box. Thanks for all your help.
Click here to see answer by Cintchr(481)

Question 30186: hi,
i need help on simplifying radical expressions with sqaure roots. They're are three different types of problems on my homework and i dont know how to solve them. I'm wondering if they are solved the same way and how to solve them...some examples on my homework are.... .... ....and ...it will be very appreciated if you help me...thanks
-kelsey larue
Click here to see answer by Cintchr(481)

Question 30306: I am asked to simply this problem:
6^3a+2 multiplied by 6^2-2a over 6^a+5
(6 to the 3a+2 power multiplied by 6 to the 2nd power minus 2a power over 6 to the A power plus 5th power
6^3a+2 multiplied by 6^2-2a
---------------------------
6^a+5
Thank you
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30302: My homework assignment asks to REWRITE THE EXPRESSION using RADICAL NOTATION.
72x^3/4 (72x raised to the 3/4 power) over 8x^1/4 (8x raised to the 1/4 power)
72x^3/4
------- Im not sure where to begin. Thank you
8x^1/4

Click here to see answer by longjonsilver(2297)

Question 30326: Please tell me how to approach this; the lesson in the textbook does not give an example even remotely close to this.
f(x) = square root (4 - 3x) find the domain of the function
Thanks very much.
Click here to see answer by mukhopadhyay(490)

Question 30441: Ok, it just looks like all the help I've seen is too advanced to help me with this... here's the problem... (a^3 b^-6)^1/2.. I know this has to be simple, but I've been wracking my brain trying to figure it out.
Thanks!
Charity
Click here to see answer by Cintchr(481)

Question 30507: When I try to graph or solve for (x)^(1/3) or other odd roots, I get a complex number when x is negative. I know that (-2)^3 = -8, so why isn't (-8)^1/3 =-2? I am trying to learn how to do the basics on a TI-89 T.
Thanks, Bruce
Click here to see answer by Earlsdon(6294)

Question 30579: I need help soving the following equation. When I do it, IT SEEMS UNSOLVABLE! (w+1)^4=48

Click here to see answer by Cintchr(481)

Question 30583: How do I simplify a radical expression?
Click here to see answer by Nate(3500)

Question 28902: how do you simplify the squre root of 200
Click here to see answer by checkley71(8403)

Question 30637: x^2+4x=32
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30811: How do you find the answer to (3 root 2)/(2 root 75)? Thanks a bunch!
Click here to see answer by longjonsilver(2297)

Question 30856: Whats the answer to this problem the square root of 108 and it has to be in its symplified form well it would be good if u gave me both answers the radical expression and it simplified
Click here to see answer by checkley71(8403)

Question 30814: (radical 6+radical 8)(radical 24+radical2)
Click here to see answer by Cintchr(481)

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