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

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Question 1059401: 1.How many x-intercepts does the graph of the function have?
List them out.
f(x)=-(x^2+1)(x-4)
2.How many complex zeros are there to the function?
List them out.
f(x)=(2x-1)(x^2+7)

Click here to see answer by Fombitz(32388)

Question 1059404: Where does the 4 come from in
sqrt(3)+sqrt(3)/3
=4/3sqrt(3)
Click here to see answer by Edwin McCravy(20054)

Question 1059675: Cube root of (8x^3)^2
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Question 1060059: Simplify each radical expression. Assume all variables represent positive numbers.
A.) Sqrt 81x^6y^12
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Question 1060171: what is 117 in simplest radical form?
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Question 1060217: (square root of z square root of y square root of x) ^8
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Question 1060398: (3+2 sqrt(5))^2
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Question 1060744: What is the distance between each pair of points:
1.(0,5) and (0,8)
2.(7,0) and (2,0)
3.(4,14) and (4,9)
4.(1,171) and (11,171)
5.(6,-2) and (6,3)
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Question 1060871: Can you help me please . Express radical 84 over 2 radical 3 in simplest radical form
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Question 1060871: Can you help me please . Express radical 84 over 2 radical 3 in simplest radical form
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Question 1061294: write an expression equivalent to ^5sqrt(9^4)?
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Question 1061612: The relationship between the mass (m) in kilograms of an organism and its metabolism P in calories per day can be represented by P = 73.3 (the 4th square root of m to the third power). Find the mass of an organism that has a metabolism of 586.4 calories per day.
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Question 1061844: (4x-3)^2=-81,Solve for x
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Question 1061971: 1 + sqrt(1/2)
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Question 1062518:

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Question 1062518:

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Question 1062519:
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Question 1062519:
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Question 1062524: Use an appropriate area formula to find the area of the triangle with the given side lengths.
a = 16 m, b = 10 m, c = 9 m
What is the area of the triangle? ____ m^2 (Round your answer to the nearest tenth.)
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Question 1062582:
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Question 1062970: Find the distance between the points with the given coordinates
(-2, -5) and (-2, 4).
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Question 1063109: Can you help me please. Simplify by adding or subtracting. Radical 13 + 3 radical 13 - 9 radical 13
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Question 1063109: Can you help me please. Simplify by adding or subtracting. Radical 13 + 3 radical 13 - 9 radical 13
Click here to see answer by stanbon(75887)

Question 1063292: Simplify:
(sqrt)3y^4u^9 (sqrt)15y^2u^4
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Question 1063432:
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Question 1063432:
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Question 1063610: what is 1/2 divided by -sqrt of 3/2
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Question 1063624: t=t�/1-v^2/c^2
what is the proof of this equation?
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Question 1064102: sqrt(t+3+7=9 then t=
Click here to see answer by Fombitz(32388)

Question 1064138: Can you help me please. Express radical 25 - two radical three + radical 27 plus two radical nine.
Click here to see answer by Alan3354(69443)

Question 1064234: True or false: the equation is too complicated to use the "isolate the radical, then square both sides" method to simplify
square root (x+3)/ square root (x-1)=3
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Question 1064496: what is radical 4 multiplied by 3 radical 2
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Question 1064494: what is 3 radical 5 multiplied by 4 radical 5
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Question 1064492: what is 4 radical 20 multiplied by radical 10
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Question 1064979: Solve for a in 4^√5a+3=4^√6a−5
Click here to see answer by Alan3354(69443)

Question 1065097: Solve the equation by using the square root property. Simplify all radicals.
z^2= 2.25
A.) The solution set is ___
B.) Empty set
Click here to see answer by josmiceli(19441)

Question 1065223: Which of the following could be simplified without first simplifying the individual radical expressions?

Click here to see answer by ikleyn(52776)

Question 1065098: Solve the equation by using the square root property. Simplify all radicals.
(3k+1)^2-45=0
The solution set it ____
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Question 1065334: Solve for the indicated letter.
R=vB^2+mB, for B
B=___
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Question 1065333: The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $3000 to grow to $3307.50 in 2 years?
The interest rate is ___ %
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Question 1065332: The area of a circle with radius r is given by the formula A=πr^2. If a circle has area 100π square inches, what is the radius?
The radius ___ inches.
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Question 1065365: Express ratio of 8cm to 3:8cm
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Question 1065501: If p - q = 5 and pq = 3, find the value of p² + q².

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I've successfully solved a similar problem:
r² + s² = 15 and rs = 5, find the positive value of r + s.
r² + s² = 15
rs = 5
2 ⋅ rs = 5 ⋅ 2
2rs = 10
r² + 2rs + s² = 25
(r +s)² = 25
r + s = 5

Click here to see answer by noname9900(1)

Question 1065509: If (a - b)² = 5 and ab = 1, find the positive value of a + b.
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I've successfully solved similar problems with addition of squares, but not a difference of squares.
Click here to see answer by Fombitz(32388)

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