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

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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) About Me 

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(26297) About Me 

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


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

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(26297) About Me 

Question 47991This question is from textbook Precalculus A graphing Approach
: 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!! This question is from textbook Precalculus A graphing Approach

Click here to see answer by stanbon(26297) About Me 

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

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Question 48059: Somebody please help me solve this problem. I tried and got a very weird high number.
Question: Convert(45)^(3/2) from exponent form to radical form, then simplify (without a calculator).
what I got:
sqr rt of (45^3)
= sqr rt of ((9*3)(5*3))
= sqr rt of ((9*9*9)(5*5*5))
= (3*3*3)sqr rt of (5*5*5)
= 27 sqr rt of (125)
= 27 sqr rt of (25*5)
= (5)27 sqr rt of (5)
= plus or minus 135 sqr rt of (5)
Is this right?
Thank you!

Click here to see answer by stanbon(26297) About Me 

Question 47936: (sqrt3 + 5)(sqrt3 - 3)
Click here to see answer by checkley71(8405) About Me 

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(2042) About Me 

Question 48137: how do u simplify 3 radical 2(4-2 radical 2)?
Click here to see answer by stanbon(26297) About Me 

Question 48099: I am having problems with my order...please help me.
SOLVE EACH OF THE EQUATIONS. BE SURE TO CHECK YOUR SOLUTIONS.
2y+7 (square root sigh) + 4 = y
I am confused as to what to do with the Y.

Click here to see answer by tutorcecilia(2042) About Me 

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) About Me 

Question 48500: Simplify. Assume all variables represents positive numbers
sqrt (x^4 y^3)
Thanks

Click here to see answer by AnlytcPhil(958) About Me 
Question 48500: Simplify. Assume all variables represents positive numbers
sqrt (x^4 y^3)
Thanks

Click here to see answer by adamchapman(301) About Me 

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

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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) About Me 

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)

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Question 48770: I can't understand this topic. So... I would like to ask if you can teach me about this. I really need your help right now. I have an exam tommorrow about algebra. By the way, I'm now in first year.

Click here to see answer by tabi(3) About Me 

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(161) About Me 

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(161) About Me 

Question 48828: 5 sqrt11x / sqrt x^3

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Question 48981: Solve
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Question 48980: Solve
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Question 48979: Solve
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Question 49034This question is from textbook Beginning Algebra
: 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.
This question is from textbook Beginning Algebra

Click here to see answer by Nate(3495) About Me 

Question 49078This question is from textbook intermediate algebra; graphs and models
: 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'.
This question is from textbook intermediate algebra; graphs and models

Click here to see answer by Nate(3495) About Me 

Question 49193This question is from textbook
: I am not sure how to simplify this: x sqrt18 - 3 sqrt8x squared
This question is from textbook

Click here to see answer by AnlytcPhil(958) About Me 

Question 49192This question is from textbook
:
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
This question is from textbook

Click here to see answer by AnlytcPhil(958) About Me 

Question 49284: find the square root of 50/32 completely broken down
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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) About Me 

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

Question 49365This question is from textbook Beg Algebra
: Can 9 sqrt 7x + 3 sqrt 7x be simplified to 12 sqrt 7x? This question is from textbook Beg Algebra

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Question 49364This question is from textbook
: 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.
This question is from textbook

Click here to see answer by Nate(3495) About Me 

Question 49411This question is from textbook
: 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...This question is from textbook

Click here to see answer by Earlsdon(4900) About Me 

Question 49422This question is from textbook
: 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? This question is from textbook

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Question 49405: I need help with this equation please.
5(x-2)^2=3

Click here to see answer by Nate(3495) About Me 

Question 49404: could someone please help me solve this equation?
(x-5)^2=6

Click here to see answer by checkley71(8405) About Me 

Question 49529This question is from textbook College Algebra
: Simplify by rationalizing the denominator. 3/{[(5)^(1/2)]+[(6)^(1/2)]}This question is from textbook College Algebra

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Question 49771: simplify please.
sqrt 3x/2

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Question 49794: simplify please.
sqrt 3x/2

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Question 49943This question is from textbook Beginning Algebra
: Did I get the answer right? I believe I did but I just want to make sure.
2*radical12 + 4*radical27= 3*radical3
This question is from textbook Beginning Algebra

Click here to see answer by rapaljer(3625) About Me 

Question 49946This question is from textbook Beginning Algebra
: Is the answer to this problem -27?
evaluate
3*radical27
-3 because (-3)^2 = -27
This question is from textbook Beginning Algebra

Click here to see answer by rapaljer(3625) About Me 

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(26297) About Me 
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 tutorcecilia(2042) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960