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

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Tutors Answer Your Questions about Radicals (FREE)


Question 87483: Solve the radical equation (2x-1)^1/2=x-2
Click here to see answer by rapaljer(4667) About Me 

Question 87648: I'm not really good at word problems, so if someone could help I would appreciate it.
How would I solve this.
One eighth of the square root of seven less than a number is 2. What is the number?
Thank you

Click here to see answer by longjonsilver(2297) About Me 
Question 87648: I'm not really good at word problems, so if someone could help I would appreciate it.
How would I solve this.
One eighth of the square root of seven less than a number is 2. What is the number?
Thank you

Click here to see answer by stanbon(57399) About Me 

Question 87661: I'm supposed to put this in simplest radical form.
6square of 7*3square root of 5
could you explain how would I do this.
Thanks

Click here to see answer by rapaljer(4667) About Me 

Question 87806: We are suppose to express this in simplest radical form.
3square root of 2 plus square of 50.
Please help!

Click here to see answer by bucky(2189) About Me 

Question 87805: I'm supposed to express this in simplest radical form.
(square root of 2 minus 3)(square root of 2 plus 3)
I'm not sure how you are supposed to do that or is it in simplest form already?

Click here to see answer by bucky(2189) About Me 

Question 87858: I need to solve the following and I know the answer is 8x^3 but I can't seem to figure it out. Please help.
Square root of 2x multiplied by square root of 32x^5.. THANK YOU!

Click here to see answer by Earlsdon(6287) About Me 

Question 87950: I'm supposed to express in simpest radical form.
(square root of 3 minus square root of 5)(square root of 3 minus square root of 5).
Would you use the problem solving technique of (a-b)*(a+b)=asquare-bsquarePlease help!!
Thanks!!!

Click here to see answer by stanbon(57399) About Me 

Question 87951: Solve this please: -/25 (the / is the radical sign)
Click here to see answer by tutorcecilia(2152) About Me 

Question 88001: find the midpoint of lm if m(3,7) and l(1,1)
a- (2,3)
b- (2,4)
c- (2,6)
d- (4,8)

Click here to see answer by uma(370) About Me 

Question 88000: find the distance between (-2,9) and (-5,15)
a- 6.71
b- 18.67
c- 45.02
d- 24.18

Click here to see answer by jim_thompson5910(28598) About Me 

Question 88003: find the distance between (2/3,4) and (5/3,7)
a- 10.06
b- 3.16
c- 3.46
d- 4.24

Click here to see answer by checkley75(3666) About Me 

Question 88216: I need to find the solution for: radical (2y + 7) + 4 = y
I've started my solution by getting the radical by itself creating: radical (2y+7) = y - 4. Then I square both sides so I can remove the radical and end up with: 2y + 7 = y^2 - 8y + 16 from here on out I'm lost. Thanks.

Click here to see answer by rapaljer(4667) About Me 

Question 88217: This problem was already answered on this site, but I'm still confused and need clarification.
radical (4x + 1) + 3 = 0 First I get the radical by itself radical (4x + 1) = -3; next square both sides to remove the radical: 4x + 1 = 9; next I get the "x" by itself: 4x = 8; divide by 4 therefore x = 2 which when you put back into the equation leaves radical (4(2) + 1) + 3 = 0; radical (9) + 3 = 0; 3 + 3 does not equal zero. Although both my answer and that of the tutors is that equation has no solution, my answer is 2 and his was 0. What am I doing wrong?

Click here to see answer by rapaljer(4667) About Me 

Question 88215: I need to find the solution for: radical (2y + 7) + 4 = y
I've started my solution by getting the radical by itself creating: radical (2y+7) = y - 4. Then I square both sides so I can remove the radical and end up with: 2y + 7 = y^2 - 8y + 16 from here on out I'm lost. Thanks.

Click here to see answer by rapaljer(4667) About Me 

Question 88233: I am trying to solve by using quadratic formula
x^2-9x-4=6
I am confused on what to do with =6, do I rule it out when I begin simplifying?
Please help

Click here to see answer by jim_thompson5910(28598) About Me 

Question 88235: I have to simplify this radical equation: 8sqrt.2 - 6sqrt.7, but am I right in thinking that this radical equation CANNOT be simplified? So, there's no solution? Or am I way off track? Any help you can provide would be very much appreciated!
Thank you!!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 88280: Need help solving this problem:
2 square root 3 (square root 27 minus Square root 3)

Click here to see answer by tutor_paul(490) About Me 

Question 88325: I am trying to solve a word problem, this is asking to to find the two integers such that the sum of their squares is 85.
Am I doing this correctly would I begin by
x^2 +85+ 1/2=
Please help

Click here to see answer by stanbon(57399) About Me 

Question 88348: This is a word problem, using the quadratic formula to solve an equation.
A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft , what is the width of the path?

please help

Click here to see answer by ankor@dixie-net.com(15661) About Me 

Question 88420: I'm really bad at story problems, so if you could help it would be great.

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 88419: could you please help me figure this 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?
Thank you for your help!!

Click here to see answer by stanbon(57399) About Me 

Question 88438: 3square of 27 + square root of 8 - 2square root of 75
Click here to see answer by stanbon(57399) About Me 

Question 88552: I think this particular problem cannot be solved by I need verfify I'm doing it correctly. First I remove the radical from the equation by squaring both sides = x - 1 = x^2 - 6x + 9. Next I need to make the equation equal to zero = 0 = x^2 - 7x + 10. Then I need to factor (x - 2)(x - 5). When I plug -2 back into check I end up with radical -3 = -5 and when I plug -5 I end up with radical -6 = -8. Therefore is it true this equation has no solution?
Click here to see answer by stanbon(57399) About Me 

Question 88565: Find the distance between (-3,-2) and (1,4), simplify form
Click here to see answer by stanbon(57399) About Me 

Question 88560: solve and check:
SQRT of x-1 =x-3

Click here to see answer by Nate(3500) About Me 

Question 88561: solve and check:
SQRT of 3x+3 -9=0

Click here to see answer by Nate(3500) About Me 

Question 88518: Hi
I am trying to solve this equation: (((x-215)*52)/x)=15
i have tried simplifying the problem: (52x-11180)/x=15
i'm unsure of the "steps" needed to solve x in this equation
if you can offer any help it would be much appreciated thanks

Click here to see answer by bucky(2189) About Me 

Question 88562: Find the distance between (-3,-2) and (1,4), simplify form
Click here to see answer by ankor@dixie-net.com(15661) About Me 

Question 88934: Could someone show me step by step how to figure out the answer to this problem? Thank you
Find the length x. Express your answer in simplified radical form. The measurements are of a triangle:Left side (longer than right side) 51ft. Right side (shorter than left side) x. The bottom 45ft.

Click here to see answer by checkley75(3666) About Me 

Question 88998: I need to solve this where the x- intercepts
please help
y=-x^2+6x-2

Click here to see answer by jim_thompson5910(28598) About Me 

Question 89019: The equation gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.

I begin by h=-16t+180+2
I am not sure could I get some help, please.

Click here to see answer by ankor@dixie-net.com(15661) About Me 

Question 89023: Good evening can you please help me with these problems?
Simplify:
√[81x^12y^8z^10]
Perform the indicated operations:
2√[48] + 7√[12] –√[27]
Rationalize the denominator:
2____
√[3] + √[2]
I apologize for sending so many but these are the ones that I do not understand.
Thank you so much, I really appreciate your help.
Chocolatechrrys

Click here to see answer by scott8148(6628) About Me 

Question 89202: square root 4/11
Instructions are to simplify. I am not sure if the way I have this problem typed is clear or not. It is the sq. root symbol with the fraction 4/11 under it. I know that it has to do with rationalizing the denominator, but I do not understand how to do it. Please help.

Click here to see answer by Nate(3500) About Me 

Question 89271: Please help. I'm really confused --I'm trying to simplify these radicals, but I'm lost as to what steps to take. My instructor gives a different method then I learned (I din't even have that down. We have a test and I don't think I'll pass this section unless I get some help.
I'm not sure how to key the radical sign on my computor keyboard. Here's a few of the problems (sorry there's more than one, but I need to know the formulas, because I notice that not all problems can be solved just the same way, so here's one of every kind of problem I'm simplifying:
The square root of 27x^3y^5
The cubed root 125x^9y^5/8x^3z^12
1/the square root of 5xy^2
2x/the 4th root of 3xy^2
x/3- the square root of x


Click here to see answer by stanbon(57399) About Me 

Question 89329: I don't know how to do these. I just figured out how to simplify radical expressions, now I need to know how to add, subtr, mult, and divide them.
These are example problems:
3 and the sqrt of 8 + 4 and the sqrt of 50
sqrt of 12^2y^3 - the sqrt of 27x^4y
5th root of 4x^3y^4 * 5th root of 8x^2y^3
Sqrt of 3x^3/4y^2 * sqrt of 9x^2/2y^4
sqrt of 3x^4 divided by the sqrt of 9xy^5

Click here to see answer by stanbon(57399) About Me 

Question 89352: Hi Everyone, I was supposed to solve x^2+10=19....I came up with the solution of +(w/a line under it)3 Am I correct??? I would appreciate anyone reviewing this problem for me...Thanks
Click here to see answer by jim_thompson5910(28598) About Me 

Question 89354: Okay, I am completely confused here....x^2+18x+81 is a perfect square because (x+9)(x+9), However, I need help with figuring out if x^2-2x-1 is a perfect square, so far I am thinking that it's not? But is it? Please help...Thanks
Click here to see answer by stanbon(57399) About Me 

Question 89353: I need someone to please review my assignment solutions...I would greatly appreciate it....I was supposed to solve for (x-5)^2=6 MY ANSWER:5+sqrt of 6....Next problem is 5(x-2)^2=3 MY ANSWER:10+sqrt of 15 over 5 Am I correct with my solutions??? If not could someone please help in explainimh where I went wrong...Thanks ;0)
Click here to see answer by stanbon(57399) About Me 

Question 89472: Simplify. Express your answer in simplified radical form.
sqrt108x^6/sqrt3

Click here to see answer by funmath(2925) About Me 

Question 89519: I am trying to complete the square for this equation
x^2=5x+2
Options on my test are
a.)5+sqrt20/2
b.)5+sqrt29/4
c.)5+sqrt33/4
d.)5+sqrt33/2
I am not even close to any of these options. please help

Click here to see answer by scott8148(6628) About Me 

Question 89521: The length of a rectangle is 2cm more than 5 times its width. If the area of the rectable is 65cm^2, find the dimensions of the rectable to the nearest thousandth.
Do I use a pythagorean theorem to form an equation, I do not understand. please help

Click here to see answer by scott8148(6628) About Me 

Question 89520: I am asked to find the equilibrium for demand and supply equations
d=-5p+40
S=-p^2+30p-8
so far I have
-p^2+30p-8=-5+40
0=p^2-30p+48
so,
p=35+ sq rt(-35)^2-4(48)/2
=35+ sqrt701/2
4 options
a.)$1.43
b.)$1.57
c.)1.71
d.)$1.29
how do I simplify this? please help

Click here to see answer by stanbon(57399) About Me 

Question 89827: Hi, good afternoon.
Can you please help me with these two problems.
I do not seem to understand how to:
Divide and simplify: %283x%5E2%2B13x%2B4%29%2F%2816-x%5E2%29÷%283x%5E2-5x-12%29%2F%283x-12%29
Simplify by rationalizing the denominator:
%28sqrt%2811%29-sqrt%285%29%29+%2F+%28sqrt%2811%29%2Bsqrt%285%29%29
Thank you so much,
Chocolatechrrys

Click here to see answer by Edwin McCravy(8912) 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, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145