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Tutors Answer Your Questions about Square-cubic-other-roots (FREE)
Question 306050: 13sqrt3 + 4sqrt150 - 7sqrt48 + 2 sqrt2. Please help simplify. I got it down to 24sqrt6 + 13sqrt3 -14sqrt6sqrt2. Not sure if you can combine numbers if there are two square roots next to each other. For example, sqrt6 and then sqrt6sqrt2. Can those 6's be combined? Thanks so much!
Click here to see answer by richwmiller(17219)  |
Question 306283: Thanks for your help Alan...I understand who you got to the 2/cuberoot 9, but I don't understand how to got to the next step of 2*(cuberoot 81)/9?
I understand everything after that but was curious to know how you got to that point.
Click here to see answer by Alan3354(69443)  |
Question 307105: Simplify by taking roots of the numerator and the demoninator. Assume that all expressions under radicals represent positive numbers.
The square root of 243x^6/y^20 to the fifth root.
Here is what I have so far: the square root of 243x^6 to the fifth root divided by the square root of 4^20 to the fifth root.
This is the answer that I got but I'm sure it is wrong.
3x^4 x^2 to the fifth root divided by y^4.
Click here to see answer by rapaljer(4671)  |
Question 307135: Good morning!
An interesting radical conundrum for me:
SIMPLIFY: fourth root of (9 / z^5) or (9 / z^5)^(1/4)
I broke it down: (9)^(1/4) / (z^5)^(1/4)
Then I multiplied top and bottom by (z^5)^(1/4)
Result: (9z^5)^(1/4) / z^5
Simplify: z(9z)^(1/4) / z^5
Again: (9z)^(1/4) / z^4
I believe I worked this correctly, but I have doubts when I read the answer sheet in the book with the solution: (9z^3)^(1/4) / z^2
Did I miss a step?
Thanks in advance... George
Click here to see answer by Fombitz(32388)  |
Question 307135: Good morning!
An interesting radical conundrum for me:
SIMPLIFY: fourth root of (9 / z^5) or (9 / z^5)^(1/4)
I broke it down: (9)^(1/4) / (z^5)^(1/4)
Then I multiplied top and bottom by (z^5)^(1/4)
Result: (9z^5)^(1/4) / z^5
Simplify: z(9z)^(1/4) / z^5
Again: (9z)^(1/4) / z^4
I believe I worked this correctly, but I have doubts when I read the answer sheet in the book with the solution: (9z^3)^(1/4) / z^2
Did I miss a step?
Thanks in advance... George
Click here to see answer by CharlesG2(834) |
Question 307135: Good morning!
An interesting radical conundrum for me:
SIMPLIFY: fourth root of (9 / z^5) or (9 / z^5)^(1/4)
I broke it down: (9)^(1/4) / (z^5)^(1/4)
Then I multiplied top and bottom by (z^5)^(1/4)
Result: (9z^5)^(1/4) / z^5
Simplify: z(9z)^(1/4) / z^5
Again: (9z)^(1/4) / z^4
I believe I worked this correctly, but I have doubts when I read the answer sheet in the book with the solution: (9z^3)^(1/4) / z^2
Did I miss a step?
Thanks in advance... George
Click here to see answer by solver91311(24713)  |
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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
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