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

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

## Tutors Answer Your Questions about Radicals (FREE)

 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 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 stanbon(57953)

 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 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 Alan3354(31505)

 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 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 KnightOwlTutor(293)

 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 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 KnightOwlTutor(293)

 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 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 KnightOwlTutor(293)

 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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