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

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Algebra: Radicals -- complicated equations involving roots

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Question 170700: Solve: 2x+2=5 square root of x
Click here to see answer by Mathtut(3670)

Question 170720This question is from textbook

: 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?
This question is from textbook

Click here to see answer by Alan3354(6097)

Question 170720This question is from textbook

Click here to see answer by stanbon(26297)

Question 170820This question is from textbook

: 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.This question is from textbook

Click here to see answer by stanbon(26297)

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

Click here to see answer by jim_thompson5910(13794)

Question 170884This question is from textbook Introductory Algebra
: Rationalize the denominator
sqrt 16a^4b^6/sqrt 128a^6b^6This question is from textbook Introductory Algebra

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 171500This question is from textbook
: I need help simplying radicals by factoring. This question is from textbook

Click here to see answer by solver91311(5072)

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(5072)

Question 171508This question is from textbook college algebra
: can somebody help solve this problem : This question is from textbook college algebra

Click here to see answer by Alan3354(6097)

Question 171618This question is from textbook Introductory Algebra
: Add or subtract as indicated
3/5sqrt 24 + 2/5sqrt 150 - sqrt 96This question is from textbook Introductory Algebra

Click here to see answer by stanbon(26297)

Question 171619This question is from textbook Introductory Algebra
: Solve.
12/sqrt 5x + 6 = sqrt 2x + 5This question is from textbook Introductory Algebra

Click here to see answer by stanbon(26297)

Question 171616This question is from textbook Introductory Algebra
: Multiply and then simplify by factoring.
sqrt 2^109 sqrt x^306 sqrt x^11This question is from textbook Introductory Algebra

Click here to see answer by stanbon(26297)

Question 171629: x^(5/4)+1=33 solve
Click here to see answer by Alan3354(6097)

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(3013)

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(26297)

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(3013)

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(13794)

Question 171826This question is from textbook intro algebra
: Rationalize the denominator. I am not quite sure what this means and I am not understanding what the book says.
4-sqrt3/6+sqrt4This question is from textbook intro algebra

Click here to see answer by Mathtut(3670)

Question 171819This question is from textbook intro algebra
: 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.This question is from textbook intro algebra

Click here to see answer by Edwin McCravy(2922)

Question 171844This question is from textbook intro algebra
: I asked for help with this problem earlier but I entered it wrong.
Rationalize the denominator.
4 - sqrt3/6 + sqrtyThis question is from textbook intro algebra

Click here to see answer by Alan3354(6097)

Question 171858: simplfy the spuare root of __125__
80
Click here to see answer by jim_thompson5910(13794)

Question 171878: how do you simplify -2 the square root of 16x^2?
Click here to see answer by jim_thompson5910(13794)

Question 171817: Solve for Z
38. √z + 10 = √6z + 12
Click here to see answer by edjones(3299)

Question 171974This question is from textbook Introductory Algebra
: Find all square roots of the number 256.This question is from textbook Introductory Algebra

Click here to see answer by stanbon(26297)

Question 171997This question is from textbook Introductory Algebra
: 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 = This question is from textbook Introductory Algebra

Click here to see answer by KnightOwlTutor(292)

Question 171996This question is from textbook Introductory Algebra
: 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 = 6This question is from textbook Introductory Algebra

Click here to see answer by KnightOwlTutor(292)

Question 171995This question is from textbook Introductory Algebra
: 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 = This question is from textbook Introductory Algebra

Click here to see answer by Alan3354(6097)

Question 171994This question is from textbook Introductory Algebra
: 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?This question is from textbook Introductory Algebra

Click here to see answer by Alan3354(6097)

Question 171993This question is from textbook Introductory Algebra
: Solve the equation.
sqrt 10 + x = -1 - sqrt 11 - 5xThis question is from textbook Introductory Algebra

Click here to see answer by Alan3354(6097)

Question 171989This question is from textbook Introductory Algebra
: Solve the equation.
y = sqrt 3y + 10This question is from textbook Introductory Algebra

Click here to see answer by Alan3354(6097)

Question 171987This question is from textbook Introductory Algebra
: Simplify
sqrt 5/sqrt 180This question is from textbook Introductory Algebra

Click here to see answer by Alan3354(6097)

Question 171990This question is from textbook Introductory Algebra
: Solve the equation.
sqrt 2x + 5 - sqrt x - 2 = 3This question is from textbook Introductory Algebra

Click here to see answer by Alan3354(6097)

Question 171975This question is from textbook Introductory Algebra
: Simplify
sqrt 64This question is from textbook Introductory Algebra

Click here to see answer by KnightOwlTutor(292)

Question 171988This question is from textbook Introductory Algebra
: Rationalize the denominator and simplify.
sqrt 81/40This question is from textbook Introductory Algebra

Click here to see answer by KnightOwlTutor(292)

Question 171978This question is from textbook Introductory Algebra
: 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?This question is from textbook Introductory Algebra

Click here to see answer by jojo14344(1483)

Question 172240This question is from textbook Introductory Algebra
: Solve.
(y + 5)(y - 1) = 27This question is from textbook Introductory Algebra

Click here to see answer by nerdybill(2448)

Question 172235This question is from textbook Introductory Algebra
: Simplify by factoring.
sqrt (x + 5)^12This question is from textbook Introductory Algebra

Click here to see answer by nerdybill(2448)

Question 172236This question is from textbook Introductory Algebra
: Multiply and then simplify by factoring, if possible.
sqrt 2x sqrt 16yThis question is from textbook Introductory Algebra

Click here to see answer by nerdybill(2448)

Question 172247This question is from textbook Introductory Algebra
: 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 + 16This question is from textbook Introductory Algebra

Click here to see answer by nerdybill(2448)

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