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

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Question 393787: Find the inverse of each function. Is the inverse a function?
f(x)=3x+2
show me step by step please:)
Click here to see answer by stanbon(57285)

Question 393786: Graph. Find the domain and range of each function. Show me step by step please.
y=-sqrt(x+3)-1
Click here to see answer by stanbon(57285)

Question 393788: The children's park has become very popular since your club built new play equipment. Use the equation f=4sqrt(A) to calculate the amount of fence f you need to buy based on the area A of the playground.
Suppose you want to increase the fenced play area to four times its current area. If you can reuse the fencing already at the park, how much new fencing do you need to buy?
Please show me step by step.
Click here to see answer by ankor@dixie-net.com(15646)

Question 393898: The problem is:

i tried rationalizing the first part of the problem by multiplying it by the conjugate and then i distributed the negative sign and then added but none of the terms were like...
please help me solve this!
Click here to see answer by Edwin McCravy(8893)

Question 393996: 5 divided by square root 2 ( Rationalizing a monomial radical denominator )
Click here to see answer by richard1234(5390)

Question 394409: what do you do when you need to simplify 98 + 18 / 2
Click here to see answer by EricL(29)

Question 394496: Use the Rational Root Teorem to list all possible rational roots. Then find any actual roots.
Please explain step by step.
x^4-7x^2+12=0
Click here to see answer by robertb(4012)

Question 394788: 3 * sqrt(w+1)=6
Click here to see answer by stanbon(57285)

Question 394679: Simplify, assuming that all variables are positive numbers: sqrt(8a^9/b^3 ), Thank you so much in advance!
Click here to see answer by jrfrunner(365)

Question 394896: How do I rationalize a radical denominator consisting of three terms, ie:
1/{1+ sqrt(3)- sqrt(5)}
If it was two terms I would use the conjugate but with three......?
Click here to see answer by edjones(7569)

Question 395241: $\sqrt{10a}+3\sqrt{250}^3$
Simplify be collecting the radical terms if possible. Assuming all expressions under the radicals represent non-negative numbers.
Click here to see answer by ankor@dixie-net.com(15646)

Question 395250: $\sqrt[4]{10,000}\cdot \sqrt[4]{100,000}$ Multiply and simplify by factoring.
Click here to see answer by Earlsdon(6287)

Question 395247: $\sqrt[4]{7}\cdot \sqrt[2]{6}$
Use radical exponents to write $\sqrt[4]{7}\cdot \sqrt[2]{6}$ as a single radical expression.
Click here to see answer by jrfrunner(365)

Question 395243: $\sqrt[4]{7}\cdot \sqrt[2]{6}$
Use radical exponents to write $\sqrt[4]{7}\cdot \sqrt[2]{6}$ as a single radical expression.
Click here to see answer by jrfrunner(365)

Question 395254: Use the laws of exponents to simplify.
$(3^{\frac{3}{14})\frac{2}{11}}$
Click here to see answer by jim_thompson5910(28536)

Question 395434: express 40cm as fraction of 3m
Click here to see answer by MathLover1(6625)

Question 395616: (15y) /( sqrt(8y^5))
Click here to see answer by stanbon(57285)

Question 395654: What is the solution set of the equation ?
[Show work.]
Click here to see answer by jrfrunner(365)

Question 395752: The expression
\frac{\sqrt[3]{8 h^{-2} s^{-4}}} { \sqrt[3]{ h^{6} s^{4}}}
equals kh^rs^t
where r, the exponent of h, is:
and t, the exponent of s, is:
and k, the leading coefficient is: 2
I have worked it out and keep getting k as 2, which is correct, but I am also getting 2 as answers for r and t with the cubed root of hs left over. I can't seem to get it in the right format that they want.
Click here to see answer by richard1234(5390)

Question 395798: Simplify each radical expression.
5sqrt(32)-7sqrt(8)
and
2sqrt(15xy^3)*3sqrt(30x^3y^2)
Click here to see answer by MathLover1(6625)

Question 395745: simplify the expression
5 squareroot of 605 times squareroot of 55
Click here to see answer by ankor@dixie-net.com(15646)

Question 396018: I have been trying to help my son with his Alg. homework, but its been a long time since I took it. Would you help me solve please. His teacher provided the answer of -2, but I don't get that answer. Thanks.
Click here to see answer by richard1234(5390)

Question 396228: what is the fifth root of the number 3.46? How can I figure this on the calculator? I can do square root and cubes, but can't figure 5th root out.
Click here to see answer by ankor@dixie-net.com(15646)

Question 396535: 27X^2/25 = 1/3
Click here to see answer by jsmallt9(3296)

Question 396176: solve the radical equation sqrt 2x+8=x+4. I have no idea where to start
Click here to see answer by jsmallt9(3296)

Question 396715: I am having trouble with a problem I cannot seem to figure out the next step on it. The problem goes as follows:
Rationalize the denominator and simplify.
The nth root is 7 radical 8x^29/243x^8
I split the radical up betweent the top and bottom and then multiplied both sides by the bottom. I know those steps are correct, however, I do not know how to solve it from there.
nth root 7 radical 8x^29/nth root 7 radical 243x^8 times the top and bottom by the nth root 7 radical 243x^8.
Where do I go from here?

Click here to see answer by Edwin McCravy(8893)

Question 397086: find the x-intercepts and y-intercepts
f(x) = -x^2 +4x +12
need x-intercepts and y-intercepts

Click here to see answer by robertb(4012)

Question 397091: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.1x^2-0.5x+6.47, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycles.
Click here to see answer by josmiceli(9667)

Question 397101: find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)= -(x+9)^2-4
the vertex is?
Click here to see answer by robertb(4012)

Question 396776: 4x^(8/3)-7x^(4/3)+3=0
Click here to see answer by jsmallt9(3296)

Question 397322: How could I find the general form of the equation of this circle: Center at the origin and containing the point (-2,3)
Click here to see answer by Earlsdon(6287)

Question 397677: I'm stuck could you please help me here.
Find f(2a) if f(x) =2-x^3 + 2x-5.
I'm reviewing for a test tomorrow.
thanks, Pete
Click here to see answer by Fombitz(13828)

Question 397677: I'm stuck could you please help me here.
Find f(2a) if f(x) =2-x^3 + 2x-5.
I'm reviewing for a test tomorrow.
thanks, Pete
Click here to see answer by richard1234(5390)

Question 398020: I took a pre-test but I have no answer sheet was just wondering if I've done these right or not! Thanks for your time, I appreciate it!
Simplify:
1: √9√4 My answer: 6
2: √56/√8 My answer: √7
3: √9ab^4 My answer: 3b^2√a
4: √50x^2 My answer: 5|x|√2
5: √100y^2z^4 My answer: 10yz^2
6: 2√5+2√5 My answer: 4√5
7: 6√7-√7 My answer: 5√7
8: -3√2+2√2 My answer: -√2
9: 2√7+3√7+√7 My answer: 6√7
Solve the equation:
10: √x=9 My answer: x=81
11: √z=-1 My answer: no solution
12: √2a=2 My answer: a=2
13: p=√2p-1 My answer: p=1
Click here to see answer by Alan3354(30993)

Question 398236: I need help with using the multiplication property of radicals to simplify the expression.
-4 square root 112
Click here to see answer by stanbon(57285)

Question 398236: I need help with using the multiplication property of radicals to simplify the expression.
-4 square root 112
Click here to see answer by MathLover1(6625)

Question 398237: How do you simplify the following radical √9a^2/49b^4?

Click here to see answer by MathLover1(6625)

Question 398384: Simplify each expression. (1-√x)^2
Click here to see answer by MathLover1(6625)

Question 398484: How would you simplify the radical: -2 times y to the 4th power times the square root of 25 times y to the 5th power?
Click here to see answer by stanbon(57285)

Question 398823: Please help, I am soooo lost with 2 problems:
1: Cube Root of 270x divided by cube root of 10xy^2
2: Cube root of x^2 divided by cube root of 4
Thank you so much!
Click here to see answer by josmiceli(9667)

Question 398810: simplify and rationalize the denominator 7radical 8x^29/243x^8

Click here to see answer by jsmallt9(3296)

Question 398753: The radical of sqaure root 270
Click here to see answer by jsmallt9(3296)

Question 398498: find the following 18 as the index square root of (-8)^18
Click here to see answer by jsmallt9(3296)

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