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

Tutors Answer Your Questions about Radicals (FREE)

Question 47611: solve:
-9(x-3)^2=-7
I am coming up with a solution of x=1 plus or minus 3 sqrt7 over -3. Is this correct?
Thanks
Click here to see answer by checkley71(8403)

Question 47497: I can not find the perimeter for this problem. Can someone help me?
Find the perimeter of the triangle.

Side = 4
Side = 5 square root sign + 3 square root sign
Base = 5 square root sign - 3 square root sign
Click here to see answer by checkley71(8403)

Question 47637: I need help with this problem and I need all the work shown so I can solve others like it. 2-y / 4+ SQrt(y) (2 minus Y over 4 plus the square root of Y) THANKS!!
Click here to see answer by gsmani_iyer(201)

Question 47785: solve: square root of 2x+5 - square root of 3x-2 = 1
Click here to see answer by checkley71(8403)

Question 47824: Show that each equattion is true by simplifying the following:

a.)
b.)

can someone PLEASE help me with this? any help will be appreciated!!!
Click here to see answer by venugopalramana(3286)

Question 47862: Write a quadratic equation that has roots -5/2 and 3. Could you please show me how to work this problem. Thank you
Click here to see answer by stanbon(75887)

Question 47937: Could someone write a step by step solution for this problem?

19. A certain chain saw requires a fuel mixture of 5.5% oil and the remainder gasoline. How many liters of 2.5% mixture and how many of 9% mixture must be combined to produce 40.0 liters of 5.5% mixture?

A12 4/23 liters of 2.5% and 28 19/23 liters of 9%
B28 19/23 liters of 2.5% and 12 4/23 liters of 9%
C21 liters of 2.5% and 18 liters of 9%
D18 6/13 liters of 2.5% and 21 7/13 liters of 9%
E21 7/13 liters of 2.5% and 18 6/13 liters of 9%
F18 7/13 liters of 2.5% and 21 6/13 liters of 9%

20. Mary can row at the rate of 4 miles per hour in still water. Rowing downstream in a river, she can travel 3 times as far in 1 hour as she can rowing upstream. What is the rate of flow in the river?

A1 miles per hour
B2.5 miles per hour
C4 miles per hour
D2 miles per hour
E3.5 miles per hour
F3 miles per hour

Click here to see answer by stanbon(75887)

Question 47931: solve please. sqrt root x+4=3
Click here to see answer by smath(6)

Question 47996: I need help rationalizing the denominator and simplifying this problem:
sqrt of 3 plus two over sqrt of 7 minus 7
I came up with this answer but it is not one of my options
sqrt of 21 plus 7 sqrt of 3 plus 2 sqrt of 7 plus 14 over -42
It looks like my professor put the negative sign in the numerator, but I am not sure. Would the negative from the 42 distribute through the entire numerator or just the first number?
Click here to see answer by stanbon(75887)

Question 47991: 5 root of 64x^6 I have tried to look in my book but since this is old stuff that I should know how to do already it is not well shown, Please help me!!
Click here to see answer by stanbon(75887)

Question 48055: Convert (45)^(2/3) from exponent to radical form, then simplify (without using a calculator).

Click here to see answer by stanbon(75887)

Question 47936: (sqrt3 + 5)(sqrt3 - 3)
Click here to see answer by checkley71(8403)

Question 48119: I just can't get it in my head
Assignment Name: Unit 3 Discussion Board
Deliverable Length: 2 - 4 paragraphs
Details: Radical and rational exponent notation are two ways to show the same process.
Explain the similarities between radicals and rational exponent notation.
Provide at least two other examples of mathematical notation or wording denoting the same process.

Click here to see answer by tutorcecilia(2152)

Question 48137: how do u simplify 3 radical 2(4-2 radical 2)?
Click here to see answer by stanbon(75887)

Question 48189: Help I don't see a solution because 5 cant be cubed?
3square roon sign 5b^9

Click here to see answer by jake_6233(74)

Question 48500: Simplify. Assume all variables represents positive numbers
sqrt (x^4 y^3)
Thanks
Click here to see answer by AnlytcPhil(1806)

Question 48500: Simplify. Assume all variables represents positive numbers
sqrt (x^4 y^3)
Thanks
Click here to see answer by adamchapman(301)

Question 48678: explain how you solve 2+square root of 3x-2=6

Click here to see answer by longjonsilver(2297)

Question 48689: Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by p(x)= -0.2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Click here to see answer by longjonsilver(2297)

Question 48669: How can you factor this expression:
(1-square root of 2+square root of 5)(1+square root of 2-square root of 5)
Click here to see answer by stanbon(75887)

Question 48890: Simplify {3/(sqrt5 + sqrt3)}-{2/(sqrt5 - sqrt3)} I have gotten so many different answers. Please help.
Thank you!
Click here to see answer by gsmani_iyer(201)

Question 48871: I have a worksheet full of simplifying radicals. One of them is the square root of 9x^12.
Click here to see answer by gsmani_iyer(201)

Question 48828: 5 sqrt11x / sqrt x^3

Click here to see answer by gsmani_iyer(201)

Question 48981: Solve
Click here to see answer by Nate(3500)

Question 48980: Solve
Click here to see answer by Nate(3500)

Question 48979: Solve
Click here to see answer by Nate(3500)

Question 49034: This is a word problem involving radicals. I've answered this type of problem in different ways, but I'm not sure how to do this with squares involved.

Find two consecutive positive integers such that the sum of their squares in 85.
Click here to see answer by Nate(3500)

Question 49078: Write an equivalent expression using radical notation.

I can see how to get to 8 but I am confused about what happens with the 'a'.
Click here to see answer by Nate(3500)

Question 49192:
I am having trouble with the radical equations-this is what I have so far: sqrt of 4x+1,+3=0, I'm sorry I cannot copy & paste equation editor in here

Click here to see answer by AnlytcPhil(1806)

Question 49284: find the square root of 50/32 completely broken down
Click here to see answer by AnlytcPhil(1806)

Question 48636: Please help. These problems look so easy but I just can't seem to get the right answer.
First Problem:
1/√3 + 4/√27 - 2/√12

Second Problem:
2 cubed root of 27x + 2 cubed root 64x
I came up with 2 answers:
14 cubed root of x -OR- 2 cubed root of 91x
Which one is correct??
Click here to see answer by consc198(59)

Question 49290: ((( 5-sqrt(5^2-4{6}{-4})/2(6) )))
Click here to see answer by mszlmb(115)

Question 49365: Can 9 sqrt 7x + 3 sqrt 7x be simplified to 12 sqrt 7x?
Click here to see answer by Nate(3500)

Question 49364: I am doing something wrong here if you could please assist... sqrt 4x + 8, + 8=0
I dropped the zero, and minused (-8)^2 and I came up with 4.
Click here to see answer by Nate(3500)

Question 49411: I am coming up with a decimal answer for these but they need to be in whole number or sq root form. What am I doing wrong? I am trying to simplify sqrt of 500 and sqrt of 108...
Click here to see answer by Earlsdon(6294)

Question 49422: I am trying to figure the distance using d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2 for (-4,0) and (-5,-3); I am getting confused with the negatives. Is this the right formula?
Click here to see answer by Earlsdon(6294)

Question 49405: I need help with this equation please.
5(x-2)^2=3
Click here to see answer by Nate(3500)

Question 49404: could someone please help me solve this equation?
(x-5)^2=6
Click here to see answer by checkley71(8403)

Question 49529: Simplify by rationalizing the denominator. 3/{[(5)^(1/2)]+[(6)^(1/2)]}
Click here to see answer by gsmani_iyer(201)

Question 49794: simplify please.
sqrt 3x/2
Click here to see answer by tutorcecilia(2152)

Question 49943: Did I get the answer right? I believe I did but I just want to make sure.
2*radical12 + 4*radical27= 3*radical3
Click here to see answer by rapaljer(4671)

Question 49946: Is the answer to this problem -27?
evaluate
3*radical27
-3 because (-3)^2 = -27
Click here to see answer by rapaljer(4671)

Question 50108: Here are two problems I have been asked to rationalize and I pray I have done them correctly. Thank you so much. Andrea
(A)
(14 - sqrt x) / (sqrt x)
(14 - sqrt x)(sqrt x)
14 sqrt x - x
(B)
(sqrt x) / (14 - sqrt x)
(14 sqrt x + x) / (196 - x)
Click here to see answer by stanbon(75887)

Question 50333: I am having a lot of trouble solving this problem. It involves factoring. Here it is:
Factor 1/2x^2+x=1
Thank you for your help.
Click here to see answer by AnlytcPhil(1806)

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