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

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Question 170720: Hi,
I am having doubts that I solved this problem correctly. Here is my work.
(square root of x + 2) - 2 = (square root of x + 9)
i squared both sides.
x + 9 = x + 2 - (14square root of x + 2) + 49
9 = 51 -(14square root of x + 2)
-42= square root of x + 2
1764 = x + 2
x = 1762
when I substitute 1762 into the original equation and found it to be extraneous. Is this correct?

Click here to see answer by Alan3354(31505)

Question 170820: Hi again. I found another problem that is confusing.
square root of 2x = the square root of x/4
i tried to break the square root of x/4 into (sqr x/ sqr 4). then i squared both sides
= 2x = x / 4
then i multiplied both sides by 1/x.
=2x/x = 1/4
2x/x = x
so x = 1/4
Is this the correct way to approach this problem?
Thank you.
Click here to see answer by stanbon(57953)

Question 170854: Given F(x) = 3x-2, evaluate the following.
a. F(-4)
b. F(-1)
c. F(0)
Show your work here:

Click here to see answer by jim_thompson5910(28699)

Question 170884: Rationalize the denominator
sqrt 16a^4b^6/sqrt 128a^6b^6
Click here to see answer by Mathtut(3670)

Question 170996: 16 w/ a square root of 2 divided by 2 w/ a square root of 7
Click here to see answer by Mathtut(3670)

Question 171500: I need help simplying radicals by factoring.
Click here to see answer by solver91311(17070)

Question 171470: 3x-2square root x - 5= 0
I tried squaring to get rid of the root and got stuck.
Click here to see answer by solver91311(17070)

Question 171508: can somebody help solve this problem :
Click here to see answer by Alan3354(31505)

Question 171508: can somebody help solve this problem :
Click here to see answer by nerdybill(7003)

Question 171618: Add or subtract as indicated
3/5sqrt 24 + 2/5sqrt 150 - sqrt 96
Click here to see answer by stanbon(57953)

Question 171619: Solve.
12/sqrt 5x + 6 = sqrt 2x + 5
Click here to see answer by stanbon(57953)

Question 171616: Multiply and then simplify by factoring.
sqrt 2^109 sqrt x^306 sqrt x^11
Click here to see answer by stanbon(57953)

Question 171629: x^(5/4)+1=33 solve
Click here to see answer by Alan3354(31505)

Question 171704: Having problems figuring this one out. x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled. Thanks.
Click here to see answer by josmiceli(9817)

Question 171705: Not sure what is being asked. This is a homework assignment.
y=x^2 - 5x + 6
and y=-x^2 + 2x-1
Thanks.
Click here to see answer by stanbon(57953)

Question 171705: Not sure what is being asked. This is a homework assignment.
y=x^2 - 5x + 6
and y=-x^2 + 2x-1
Thanks.
Click here to see answer by josmiceli(9817)

Question 171801: i can not figure this problem out:
sqrt 2^109 x sqrt x^306 x sqrt x^11
Click here to see answer by jim_thompson5910(28699)

Question 171826: Rationalize the denominator. I am not quite sure what this means and I am not understanding what the book says.
4-sqrt3/6+sqrt4
Click here to see answer by Mathtut(3670)

Question 171819: The problem asks us to simplify this problem but I'm not sure what happens to the 2.
sqrt 2-4/z^2+2/z^4
Any advice would be greatly appreciated.
Click here to see answer by Edwin McCravy(8999)

Question 171844: I asked for help with this problem earlier but I entered it wrong.
Rationalize the denominator.
4 - sqrt3/6 + sqrty
Click here to see answer by Alan3354(31505)

Question 171858: simplfy the spuare root of __125__
80
Click here to see answer by jim_thompson5910(28699)

Question 171878: how do you simplify -2 the square root of 16x^2?
Click here to see answer by jim_thompson5910(28699)

Question 171817: Solve for Z
38. √z + 10 = √6z + 12
Click here to see answer by edjones(7569)

Question 171974: Find all square roots of the number 256.
Click here to see answer by stanbon(57953)

Question 171997: Give an exact answer and an approximation to the nearest tenth. Below is a diagram of a water slide. How far is it along the ground from the end of the slide back to the base of the ladder that leads to the slide?
a = 16 ft (height)
c = 23 ft (hypotenuse)
b =
Click here to see answer by KnightOwlTutor(293)

Question 171996: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.
a = 1, b = 6
Click here to see answer by KnightOwlTutor(293)

Question 171995: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
leg a = 27
hypotenuse = 30
leg b =
Click here to see answer by Alan3354(31505)

Question 171994: The distance d in miles that can be seen on the surface of the ocean is given by d = 1.3 sqrt h, where h is the height in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 13.5 miles?
Click here to see answer by Alan3354(31505)

Question 171993: Solve the equation.
sqrt 10 + x = -1 - sqrt 11 - 5x
Click here to see answer by Alan3354(31505)

Question 171989: Solve the equation.
y = sqrt 3y + 10
Click here to see answer by Alan3354(31505)

Question 171987: Simplify
sqrt 5/sqrt 180
Click here to see answer by Alan3354(31505)

Question 171990: Solve the equation.
sqrt 2x + 5 - sqrt x - 2 = 3
Click here to see answer by Alan3354(31505)

Question 171975: Simplify
sqrt 64
Click here to see answer by KnightOwlTutor(293)

Question 171988: Rationalize the denominator and simplify.
sqrt 81/40
Click here to see answer by KnightOwlTutor(293)

Question 171978: The distance in miles that can be seen on the surface of the ocean is given by d = 1.4sqrt h where h is the height above the surface of the water. How many feet high above the water (to the nearest tenth) would a pirate have to climb to see 16 miles?
Click here to see answer by jojo14344(1512)

Question 172240: Solve.
(y + 5)(y - 1) = 27
Click here to see answer by nerdybill(7003)

Question 172235: Simplify by factoring.
sqrt (x + 5)^12
Click here to see answer by nerdybill(7003)

Question 172236: Multiply and then simplify by factoring, if possible.
sqrt 2x sqrt 16y
Click here to see answer by nerdybill(7003)

Question 172247: Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16
Click here to see answer by nerdybill(7003)

Question 172237: Rationalize the denominator and simplify.
49 sqrt 14/21 sqrt 3
Click here to see answer by nerdybill(7003)

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