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

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Question 295979: What is the axis of symmetry and vertex of the graph of the function.
y=4x^2+7
Click here to see answer by nerdybill(6951)

Question 296057: Honestly I do not know where to begin with this question I am really stuck,
Since 1988 basic yacht dimensions for the America’s cup competition have satisfied the inequality
L+1.25√S-9.8^3√D≤16.296
NOTE- after the 9.8 the cubed is above the square root not the 8
Where L is the boat’s length in meters (m), S is the sail area in square meters, and D is the displacement in cubic meters. A team of naval architects is planning to build a boat with a displacement of 21.44 cubic meters (m^3), a sail area of 320.13 square meters (m^2) and a length of 21.22 m. Does this boat satisfy the inequality? If the length and displacement of this boat cannot be changed, then how many square meters of sail area must be removed so that the
boat satisfies the inequality?
Click here to see answer by richwmiller(9135)

Question 296099: how do you work out (3+root 6)squared

Click here to see answer by Alan3354(30983)

Question 296266: Please help...
If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang time function V=48T^2
Click here to see answer by richwmiller(9135)

Question 296299: (5-x)/x+3/4=7/x
Click here to see answer by helpnalgebra(91)

Question 296297: How do I solve 4+ the square root of 47 multiplied by 2?
Click here to see answer by helpnalgebra(91)

Question 296388: Please help me solve this radical equation. Thank you.

Click here to see answer by josmiceli(9662)

Question 296358: rewrite the expresion using radicals.
9x^3/2
and
(9x)^3/2
Click here to see answer by checkley77(12569)

Question 296354: (4 square root of 3 plus 9 square root of 5).(square root 3 plus 6 square root of 5)
Click here to see answer by checkley77(12569)

Question 296543: (-2sqrt3)^4 simplify
Click here to see answer by richwmiller(9135)

Question 296763: how do you simplify the radical (2 times the square root of 3) divided by (three)?
Click here to see answer by JBarnum(2044)

Question 296793: Please help me solve this equation

Click here to see answer by JBarnum(2044)

Question 297001: solve for the radical
X²+50=49
Click here to see answer by nyc_function(2733)

Question 297097: Solve the equation
sqrt3r+2=2sqrt3
I have tried (sqrt3r+2)^2=(2sqrt3)^2
then got 3r+2=12
the i did 3r+2=12
-2 -2
and got 3r=10
then did 3/3 and 3/10
which gave me r=3.33
and when i check the problem it doesnt work.

Click here to see answer by jim_thompson5910(28510)

Question 297087: -x^2+4x=7
Click here to see answer by jim_thompson5910(28510)

Question 297177: Use rational exponents to write x^1/4*y^1/6*z^1/7 as a single radical expression.

Click here to see answer by stanbon(57261)

Question 297225: 2.The equation D=1.2 /h gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.
I have the answer for part A but I am unsure of how to do part B.
Click here to see answer by richwmiller(9135)

Question 297226: 1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr^-2, where C is a constant, and r is the distance that the object is from the center of Earth.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
I am confused about how do to the question.
Click here to see answer by jim_thompson5910(28510)

Question 297301: i need help with 2x^2-6x
_______
6x
Click here to see answer by JBarnum(2044)

Question 297327: Express 5 radical 72 in simplest radical form

Click here to see answer by Fombitz(13828)

Question 297410: 7k^2-5k-1=0
Click here to see answer by TX911(36)

Question 297491: x=sqrt(24-10x)
i tried
x^2=24-10x
Click here to see answer by rpark91(10)

Question 297599: Write the following expression as a radical..
(xy)^2/5
Click here to see answer by user_dude2008(1861)

Question 297597: Write the factors of the following radical with fractional exponents..
^3 sq rt. 2ab^3c^2
Click here to see answer by richwmiller(9135)

Question 297601: Eliminate the imaginary number from the denominator of the following fraction..
3i/7+2i
Click here to see answer by richwmiller(9135)

Question 297967: Remove the radicals and simplify the following equation..

sq rt x-3 + sq rt 2x = 3
Click here to see answer by alex224(8)

Question 298086: I Need Help With This Problem

What i've Gotten so far is..
Click here to see answer by Alan3354(30983)

Question 298086: I Need Help With This Problem

What i've Gotten so far is..
Click here to see answer by rapaljer(4667)

Question 298091: I Need Help With This Problem

What i've Gotten so far is..
Click here to see answer by Alan3354(30983)

Question 298091: I Need Help With This Problem

What i've Gotten so far is..
Click here to see answer by Earlsdon(6287)

Question 298130: Could some one explain to me how to do this problem?

Click here to see answer by edjones(7569)

Question 298257: Need help!

I've gotten this far.. i factored and i got (x-4) (x-4).. but these are non of the answers in my practice test, maybe i didnt something wrong along the way,if anyone could help please.
Click here to see answer by Alan3354(30983)

Question 298304: Rewrite the following fraction without a denominator.
2x^2
______
xy^3
a. 2x^2y^3
b. 2x^3y^3
c. 2xy^-3
d. 2x^3y^-3
Click here to see answer by richwmiller(9135)

Question 298495: square root x=10

Click here to see answer by checkley77(12569)

Question 298507: I need to express the equation in simplest radical form. √50x²
Click here to see answer by user_dude2008(1861)

Question 298694: sqroot{45y^{90}} simplifies to what?
Click here to see answer by user_dude2008(1861)

Question 298723: square root of 3x^3 + 3x square root of x
Click here to see answer by Alan3354(30983)

Question 299122: A rectangular dance floor measures 24 feet by 32 feet. The length and width of the floor will both be increased by x feet. Write an equation that can be used to determine the value of x, in feet, if the area of the new dance floor is 1,174.25 square feet.
What are the dimensions of the new dance floor, in feet, if the area is 1,174.25 square feet?
Click here to see answer by checkley77(12569)

Question 299435: simplify
( 4- radical 5)(2+ radical 5)
Click here to see answer by checkley77(12569)

Question 299610: radical 100ab/ 5 radical 2
Click here to see answer by Alan3354(30983)

Question 299607: the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth.
Solve the equation for r.

Click here to see answer by Alan3354(30983)

Question 299765: I just wanted to know do I need to make corrections to my answers and are they right....?
7√100/√500 = 7√5/5
4/√21 = 4√21
√400/5 = 16√5/5
√10/81 = 10/9
-3√180h^4 = -3h√90
√144 = 12
Click here to see answer by stanbon(57261)

Question 299955: simplify x over radical x
Click here to see answer by JBarnum(2044)

Question 300132: 3x/4=(x+1)/2 how is this solved step by step?
Click here to see answer by Alan3354(30983)

Question 300269: x=square root of 24-10x
Click here to see answer by Fombitz(13828)

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