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

Tutors Answer Your Questions about Radicals (FREE)

Question 338767: simplify by factoring:
4th root of √96x^8y^10
Click here to see answer by jim_thompson5910(28476)

Question 338768: simplify by factoring:
5th root of √288x^17y^15
Click here to see answer by jim_thompson5910(28476)

Question 339040: Prove that the square root of any perfect square number is equal to positive (+) and negative (-).
Click here to see answer by Alan3354(30935)

Question 339111: A baseball diamond is actually a square, 90 feet on each side. What is the distance from third base to first base
Click here to see answer by Earlsdon(6287)

Question 339277: Solve and check.
√(27-3x)=x-3

Click here to see answer by stanbon(57203)

Question 339289: i have done over 50 problems and i have 4 that i do not understand at ALL.
here is one of the problems and i hope u will help me with it.

please help me simplify it.
Click here to see answer by Edwin McCravy(8879)

Question 339263: 5x^2 + 21x + 4 over x^2 - 16 divided by 5x + 1 over x-2
these are fractions
perform the indicated operations and simplify your answer
Click here to see answer by jrfrunner(365)

Question 339331: Rewrite with rational exponents
Click here to see answer by mananth(12270)

Question 339403: Please help by rewriting with rational exponents:
(√5mn) to the power of 5
Click here to see answer by stanbon(57203)

Question 339405: Please solve using the laws of exponents to simplify:
6 to the power of 7/6 over 6 to the power of 5/6
Click here to see answer by stanbon(57203)

Question 339405: Please solve using the laws of exponents to simplify:
6 to the power of 7/6 over 6 to the power of 5/6
Click here to see answer by Edwin McCravy(8879)

Question 339402: Please help by subtracting and then collecting like radical terms if possible:
4³√5-2³√5
Click here to see answer by stanbon(57203)

Question 339869: Can you please show me the correct graph for the following equation:
y=log_4(x+2)
thank u
Click here to see answer by solver91311(16868)

Question 339867: i do not understand how to simplify this problem:
sqrt(75x^3)*sqrt(5x^3)
please and thank u
Click here to see answer by jrfrunner(365)

Question 339868: i have tried to simplify this problem and each time i come up with a different answer. please show me the steps how to do it. thank you.
2sqrt(48)-3sqrt(27)
Click here to see answer by jrfrunner(365)

Question 339930: I'm asked to factor the polynomial:
x^4 + x^2 + 1
but I can't see how it fits into one of the patterns.
If I try grouping to pull x^2 from the first two, I get:
x^2(x^2 + 1) + 1
but that's not factoring, is it?

Click here to see answer by jim_thompson5910(28476)

Question 340013: Please help by multiplying:
(6+√7)(6-√7)
Click here to see answer by solver91311(16868)

Question 339892: Solve
The square root of x+1, Under the square root of 3=the square root of 3x-5
Click here to see answer by edjones(7569)

Question 340008: Please help solve the following:
³√3 * ³√9
Click here to see answer by edjones(7569)

Question 340011: Please help by using rational exponents to simplify:
³√x^15
Click here to see answer by edjones(7569)

Question 340427: What is the simplified radical form of 3087?
I factored this number by three two times but I am stuck on 343 becuase I don't know what numbers it is divisible by.
3087
3 1029
3 343

Click here to see answer by jim_thompson5910(28476)

Question 340456: √432 in lowest radical form
Click here to see answer by jim_thompson5910(28476)

Question 340737: How do I solve this √36?
Click here to see answer by jim_thompson5910(28476)

Question 340708: is 1/3 greater or less than the square root of 1.25

Click here to see answer by Johnny Depp(1)

Question 341224: (sqrt x+7)-2=(sqrt x-9)
Click here to see answer by edjones(7569)

Question 341334: Hello!
I have this problem and not quite sure if I did it right.
Write the expression in lowest terms. Assume that all variables represent positive real numbers:
54+36√21
--------
45
Will this equal:
6+4√21
------
5

or can √21 be factored more with √3 and √7?
Thank you!
Click here to see answer by mananth(12270)

Question 341000: If I have a number example: 243 with an exponent that's the fraction 5/3, how do I work that? I know how exponents work but not when they are fractions. Thank you
Click here to see answer by Fombitz(13828)

Question 341816: sqrt 5 +4 (not under ratical) divided by sqrt 2 +3sqrt7 numerator needs to be rationalized
Click here to see answer by edjones(7569)

Question 341839: the cubed root of (2x+3) + 5= 2. I was told the answer is -15, but can't figure out how to get there. This is what I have tried.
(2x+3)^3+5^3=2^3. Put both sides to the 3rd power to undo the cubed root.
8x^3+125=8. Simplified.
8x^3= -117 Subtract 125 from both sides.
x^3= -117/8 Divide both sides by 8.
x^3= -14.625
x= cubed root of (-14.625)
x= i(2.445)
As you can tell I'm doing something totally wrong because I am WAY off.
Click here to see answer by Fombitz(13828)

Question 342182: What is the radical form of 8/3/5 (8 and 3 fifths)
I was told that it is 24/5 but I can't understand the steps to the answer
Click here to see answer by Alan3354(30935)

Question 342399: How do i solve: h(x)=3x^2+5 if h(4b)?
Click here to see answer by jim_thompson5910(28476)

Question 342424: how do i find the domain of: f(x) = x+[3/(5-x)]
Click here to see answer by Fombitz(13828)

Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x?
Click here to see answer by edjones(7569)

Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x?
Click here to see answer by Fombitz(13828)

Question 342903: The question is the CUBE ROOT of this : 22(x+1)^2
The answer in the back of my book is 2(x+1) THE CUBE ROOT 9(X+1).
PLEASE HELP.
Click here to see answer by Fombitz(13828)

Question 342906: The question is THE SQUARE ROOT of (128a^2b^4) DIVIDED BY
THE SQUARE ROOT of (16ab).
I know you have to multiply by the conjugate. After that, I get lost. Please help.
Click here to see answer by Fombitz(13828)

Question 342910: The question is 2 times the square root of 32 PLUS 3 times the square root of 8 MINUS 4 times the square root of 18.
Please help.
Click here to see answer by nyc_function(2733)

Question 342898: elana begins with a large square sheet that is 169 square inches. how many squares can she cut out the paper that are 4 inches on each side?
Click here to see answer by nyc_function(2733)

Question 342895: for college wrestling competitions the ncaa requires that the wrestling mat be a square with an area of 1764 square feet. what is the length of each side on the mat?

Click here to see answer by kcanil08(11)

Question 342970: Find the third root of 4/9x^2
Click here to see answer by Fombitz(13828)

Question 342902: Simplify and assume that the variables can represent any real number.
the question is the SQUARE ROOT of this: (x^2+16x+64). The answer given in the back of my book is the ABSOLUTE VALUE of (x+8). I guess I'm missing a step. Please help.
Click here to see answer by jsmallt9(3296)

Question 343280: Graph f(x) = (x - 6)^5 -5
Click here to see answer by Fombitz(13828)

Question 343346: simplify complex rational fractions
(a/b+c/d)/e
(3*x^-2*y-2*a*b^-1)/x
((x+2)*1/2(x+1)^-1/2(x+1)^1/2)/(x+2)^2
((3*x-1)^1/2*2-(2*x+3)*1/2*(3*x-1)^-1/2)/3*x-1
((x+2)^1/3*3-(3*x-1)*1/3(x+2)^-2/3)/(x+2)^2/3
Click here to see answer by haileytucki(390)

Question 343375: Solving Radical Equations: Solve the following equation:
(The square root is over the 8-x)
√8-x + 6 = 4 I tried but it doesnt work is it no real solution?

8-x=4-6
8-x=-2
-8 -8
-x=-10 when you plug it in it doesnt work help me
lease what am I doing wrong.

Click here to see answer by stanbon(57203)

Question 343413: If √(x+5)- 3 = 1, then what is the value of x?
Click here to see answer by Fombitz(13828)

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