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

Tutors Answer Your Questions about Radicals (FREE)

Question 624701: Graph the equation.
y = sqrtx-3
Click here to see answer by ewatrrr(10682)

Question 624758: Help please.
Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent non-negative number.
√10a + 8√250a^3
Thank you.
Click here to see answer by ewatrrr(10682)

Question 624707: (3x+1)^(1/2)-(x+4)^(1/2)=1
Click here to see answer by jsmallt9(3296)

Question 624825: (16) ½ describe how to simplify each expression?
Click here to see answer by ewatrrr(10682)

Question 624871: simplify in a paragraph 〖16〗^1/2

Click here to see answer by shalon(2)

Question 624906: Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer.
Part 1: Using complete sentences, explain what Nakim did wrong.
Part 2: Show all your work to simplify the expression.
(You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )
Click here to see answer by ewatrrr(10682)

Question 624840: ((5x)((3y^2)/2)^(1/2))-((3y)((8x^2)/3)^(1/2))+((2)((3x^2y^2)/2)^(1/2))
Click here to see answer by jsmallt9(3296)

Question 625046: simplify the following expressions
[(4a^4)+(16a^3)+(16a^2)]^(1/2)
Click here to see answer by opeodu(24)

Question 625094: simplify
(3+root6)/(5*root3-2*root12-root32++root50)
Click here to see answer by jsmallt9(3296)

Question 625044: [((x^100)((z^225)^(1/2)))/y^200]^1/50
simplify the following expressions..
Click here to see answer by Alan3354(30937)

Question 625295: Can anyone please help me with rationalizing, please?
I just can't seem to understand the Exponent/Radical lessons.
Only this lesson makes me slumped :( ANY HELP I WOULD BE GRATEFUL<3
^3sqrt|2a^9b^5c^4
(The sqroot sign goes all the way to c^4.)
(The 3 in the beginning, is written as an exponent before the sqroot)
THANK YOU!
Click here to see answer by stanbon(57211)

Question 625288: divide then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. square root 28xy^3 divide square root 4x =
Click here to see answer by lynnlo(4155)

Question 625449: (√a- √b)/(√a+ √b)
This is in fraction form. Simplify.
Click here to see answer by oscargut(891)

Question 625627: Hello, looking for a check on my work. Not sure how the negative works with the root.
5th root of (-(1)/(1024)) <--- fraction form
I came up with -1/4 <--- also fraction form
Any help is greatly appreciated!
Click here to see answer by josmiceli(9645)

Question 625739: Find the domain of the function g(x) = cuberoot of 3x-15.
I know if you have f(x)= , you do 30-5x >= 0, and solve from there, but I don't know how to do it if there is a cube root.
Click here to see answer by solver91311(16868)

Question 625847: what is the sum of the roots of equation x^4 -1=0
a) -2i
b) -1
c) 0
d) 4i
e) 6i
Click here to see answer by richwmiller(9135)

Question 625881: how would i multiply and simplify this expression? square root of 5+4 multiplied by square rott of 5-1
Click here to see answer by Alan3354(30937)

Question 626072: (4x+4)^(1/3) +6 ≥ 8
Click here to see answer by babs1010(6)

Question 625975: Write the square root of 75y^7 z^10 in simplified radical form
thanks
Click here to see answer by ankor@dixie-net.com(15622)

Question 626250: what is 2 squared over 3 squared?
Click here to see answer by jim_thompson5910(28476)

Question 626185: (-7√3)(-4√10) i need to know how to multiply and simplify with the work shown
Click here to see answer by nerdybill(6948)

Question 626502: 8x2 - 2x = 1 and root1 = , root2 = - 1/4
root1 x root2 = ( 1/2)(1/4 ) =
Click here to see answer by jim_thompson5910(28476)

Question 626504: 8x2 - 2x = 1 and root1 = , root2 = -1/4
Identify a, b, and c. (Hint: you may have to arrange the equation in the form ax2+ bx + c = 0 .)
a = , b = , c =
Click here to see answer by jim_thompson5910(28476)

Question 626503: Multiply and simplify.(-7sqrt3)(-4sqrt10)
Click here to see answer by jim_thompson5910(28476)

Question 626760: Please help me evaluate this equation: -(-3)^-2
Click here to see answer by jim_thompson5910(28476)

Question 627279: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
3-√a/5+√a
Click here to see answer by stanbon(57211)

Question 627289: Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent non-negative numbers.
√10a+6√250a^3
Click here to see answer by solver91311(16868)

Question 627294: Use the laws of exponents to simplify.
5/4
9.1
________
2/3
9.1

Click here to see answer by Alan3354(30937)

Question 627353: (radical sign)2x +11= x + 7
Click here to see answer by Bunni(2)

Question 627353: (radical sign)2x +11= x + 7
Click here to see answer by jim_thompson5910(28476)

Question 627368: √25x - 25
Click here to see answer by jim_thompson5910(28476)

Question 627390: The function f(x)=6.75 X+12 models the amount, F(x), in billions of dollars of new student loans x years after 1993. According to the model, in what year is the model is the amount loaned expected to reach $45.75 billoin?

Click here to see answer by jim_thompson5910(28476)

Question 627206: solve x= sqrt (x-2) + 2
Click here to see answer by ankor@dixie-net.com(15622)

Question 627665: Please help me solve and put in lowest terms;

Click here to see answer by solver91311(16868)

Question 627666: Please help me solve an put in lowest terms:

Click here to see answer by ewatrrr(10682)

Question 627666: Please help me solve an put in lowest terms:

Click here to see answer by solver91311(16868)

Question 627664: Please help solve and put in lowest terms:

Click here to see answer by ewatrrr(10682)

Question 627663: Please help simplify and write in lowest terms:
3 sqrt 343
Click here to see answer by ewatrrr(10682)

Question 627685: Consider the three points A=(-6,6), B=(-4,10), and C=(-2,9). Find the length of each side of the triangle ABC.?

Click here to see answer by ewatrrr(10682)

Question 627878: How can you plug your answer in to check your work?
Click here to see answer by ankor@dixie-net.com(15622)

Question 628044: i dont understand how to add and subtract radicals for example
sqrt(96)+sqrt(150)-sqrt(54)
Click here to see answer by reviewermath(500)

Question 628188: What is the simpliest form of √ 567w^12
Click here to see answer by jim_thompson5910(28476)

Question 628226: I have a test that is coming up this Sunday and I need to know how to solve these type of Radical word problems. Can someone please help me with these questions and scenarios?
Note: For any decimal answers, please round to two decimal places.
The speed of a tsunami approaching land depends on the depth of the water the tsunami is in. So, the speed of the tsunami changes as is approaches the shore. The speed (in meters per second) of a tsunami in water that is d meters deep is given by s=3.13 square root d.
PROBLEM SHOW YOUR SOLUTIONS HERE
1. Solve this equation for d
2. By looking at the equation, would you expect tsunamis to travel faster or slower as they get closer to the shore (in shallower water)?

3. Find the speed of a tsunami in a depth of 500 m

4. Find the speed of a tsunami in a depth of 100 m
5. Do the answers to problems 3 and 4 confirm your expectation from problem 2? Do Tsunami’s travel faster or slower in shallow water?

Click here to see answer by ewatrrr(10682)

Question 628251: Can someone please help me to solve these radicals. I'm confused as to how these should be set-up.
I have a test that is coming up this Sunday and I need to know how to solve these type of Radical word problems. Can someone please help me with these questions and scenarios?
Note: For any decimal answers, please round to two decimal places.

If a satellite is orbiting earth, it’s distance from the center of earth is dependent upon it’s orbital velocity (speed at which it orbits the earth). The distance, r, that the satellite is from the center of the earth can be found using this equation: r=Kv^-2 for v , where K is a constant and v is the satellite’s orbital velocity.
1. Solve the equation for v. (Remember to use the negative exponent rule to write the expression with positive exponents before solving for v)

2. Suppose that a satellite orbiting at a velocity of 4.93 km/s has an altitude such that the distance from the center of the earth to the satellite is 16378 km. Find the value of K that makes the equation true.

3. Use the value of K you found in the previous problem to determine the altitude of a satellite orbiting at a velocity of 5.4 km/s
Note: The altitude of the satellite is its height above the surface of the earth. The radius (distance from the center to the surface) of the earth is 6378 km, you will need this number to find the altitude of the satellite once you have found a value for r.
4. Find the orbital velocity of a satellite with an altitude of 15,000 km above the surface of the earth.

[Be sure to calculate r before plugging it into the equation]

Click here to see answer by richwmiller(9135)

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