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

Tutors Answer Your Questions about Radicals (FREE)

Question 197864: could you please show me steps for solving these following questions
√2(10-3√2)
and
(2√7=4)^2
Click here to see answer by stanbon(57356)

Question 197865: I really need help with these following problems;
It says to compare these problems to y=√x
y=-2√x+1+4* *the square root line covers x+1+4
also
y=2/3√x-5* *the square root line covers x-5
Click here to see answer by stanbon(57356)

Question 197859: I need help simplifying √4x^2/4b
and solving (2+√5)(4-√10)
thanks!!

Click here to see answer by Alan3354(30993)

Question 197974: 104.Can you help? I need to simplify the expresion. answers with positive exponents. Assume that all variables represent positive real numbers.
(-27x^9)exponent1/3. Thank you angel
Click here to see answer by jim_thompson5910(28595)

Question 198008: Find the value of square root of 17 to the nearest tenth.
Click here to see answer by solver91311(16890)

Question 198199: 6 to the square root of 2 times 3 to the square root of 5
Click here to see answer by Alan3354(30993)

Question 198217: When 2 radical 3 is added to radical 27 the sum is
1. 2 radical 30
2. radical 39
3. 5 radical 6
4. 5 radical 3
Click here to see answer by solver91311(16890)

Question 198223: square root of x^3 over cube root x^2
Click here to see answer by arallie(162)

Question 194570: simplify
the square root of -25
Click here to see answer by checkley77(12569)

Question 198436: i dont understand how the fractional exponets work for example in the book theey have an example that looks like... 2(x-2)2/3=50 and the steps goes like this 2(x-2)2/3=50 (x-2)2/3=25 [(X-2)2/3]3/2=25 3/2 /x-2/1=25 3/2 x-2=125 but idk how u get 125? and the problem i worked was 2(x+4) 3/2 = 54 and my teach. thght us to do it like this [2(x+4)3/2]2=(54)2 2(x+3)=2916 2(+3)3/2=54
_______ __
2 2 =
(x+3)=27 and now i dont know if im on the right path or what the next step is im soo confused my teach. shows me different fromthe book but when i go to do my h.w i cant ask her cause she not there all i have is the book and she hasnt taught us from the book she thought us from what she knows. so please HELP ME!!! its on page 386 ex 2 i need help on this whole section really!
Click here to see answer by Earlsdon(6287)

Question 198527: Help me to factor it
12m^2+27m^3-3m-6
Click here to see answer by Edwin McCravy(8909)

Question 198595: 5 the square root of 3 times 2 the square root of 3
Click here to see answer by arallie(162)

Question 198667: please answer this question:
36^1/2
Click here to see answer by solver91311(16890)

Question 198714: Simplify (9x^3/64y^3)^(1/3)
I know the answer is 3^(2/3)x/4y
What i don't know is how to get the 3^(2/3) out of 9^(1/3)
Click here to see answer by solver91311(16890)

Question 198817: One person says that numbers in radicals are useless because they do not have any real world relevance. Give a convincing practical example to show this person that they are very practical and we need them.
Click here to see answer by jim_thompson5910(28595)

Question 199005: how do you simplify the radical 54/14 if it is under the square root symbol?
Click here to see answer by stanbon(57356)

Question 199016: Which is equivalent to 4 and square root of 3?
1)square root of 16
2)square root of 19
3)square root of 48
4)144
Click here to see answer by jim_thompson5910(28595)

Question 199113: square root of 128 Divided 81
Click here to see answer by solver91311(16890)

Question 199133: how do you do 4 square root of 45 - square root of 75
Click here to see answer by rfer(12660)

Question 199133: how do you do 4 square root of 45 - square root of 75
Click here to see answer by Alan3354(30993)

Question 199133: how do you do 4 square root of 45 - square root of 75
Click here to see answer by MathTherapy(1424)

Question 199141: America’s Cup. Since 1988 basic yacht dimensions for the
America’s Cup competition have satisfied the inequality
L 1.25+ radical symbol over S- 9.8 radical symbol with 3on the side and D under the sign this < underline, and 16.296 after underline< sign
where L is the boat’s length in meters (m), S is the sail area
in square meters, and D is the displacement in cubic meters
(www.sailing.com).Ateam of naval architects is planning to
build a boat with a displacement of 21.44 cubic meters (m3),
a sail area of 320.13 square meters (m2), and a length of
21.22 m. Does this boat satisfy the inequality? If the length
and displacement of this boat cannot be changed, then how
many square meters of sail area must be removed so that the
boat satisfies the inequality?
Click here to see answer by ankor@dixie-net.com(15652)

Question 199143: Sailboat speed. The sail area-displacement ratio S provides
a measure of the sail power available to drive a
boat. For a boat with a displacement of d pounds and a
sail area of A square feet S is determined by the formula
S = 16Ad-2/3.(-2/3 is the power or exponent whatever they want to call it)
a) Find S to the nearest tenth for the Tartan 4100, which
has a sail area of 810 square feet and a displacement of
23,245 pounds.
b) Write d in terms of A and S.
Click here to see answer by ankor@dixie-net.com(15652)

Question 199232: (-5[radical]6) to the second power
Click here to see answer by RAY100(1637)

Question 199252: solve a= squareroot of 1+a^2 over b^2 for b.
what does that even mean???
Click here to see answer by Alan3354(30993)

Question 199278: solve a= squareroot of 1+a^2 over b^2 for b.
Click here to see answer by jim_thompson5910(28595)

Question 199251: solve. x= (x-2)squareroot x

im not good at square roots!!
Click here to see answer by jim_thompson5910(28595)

Question 199277: solve. x=(x-2)squareroot of x
Click here to see answer by RAY100(1637)

Question 199612: How would you simplify this problem, when all variables are positive? cbrt=cube root. it didn't come out of a text book.

Click here to see answer by vleith(2825)

Question 199805: 7i/4-6i give answer in a+b form
Click here to see answer by vleith(2825)

Question 199880: Please show step by step. For all x>0 and y>0, the radical expression √x/3√x-√y is equivalent to
Click here to see answer by jim_thompson5910(28595)

Question 200218: Please help me solve this equation I can not figure it out!
solve the radical equation. the problem is written below.

x=~(3x+7-3)
Click here to see answer by rfer(12660)

Question 200252: what is the solution for square root of x6 over y5? thanks!
Click here to see answer by Alan3354(30993)

Question 200252: what is the solution for square root of x6 over y5? thanks!
Click here to see answer by tutorcecilia(2152)

Question 200354: I need you help with Evaluate. Ö[25a^12b^8c^12]
Click here to see answer by edjones(7569)

Question 200354: I need you help with Evaluate. Ö[25a^12b^8c^12]
Click here to see answer by jim_thompson5910(28595)

Question 200506: squareroot of negative w then subracting 6=w
Click here to see answer by jim_thompson5910(28595)

Question 200687: Please help me solve this problem. They say the answer is: 4 times the sqare root of 2 (sorry cannot make the root box)
Simplify by factoring: Square root of 32

Click here to see answer by ankor@dixie-net.com(15652)

Question 200828: Please walk me through each step in solving this problem:
Simplify by collecting like radical terms, if possible:
3times the cube root of y^5 + 4 times cube root of y^2 + cube root of 8y^6.
They say the answer is (3y+4)times cube root of y^2 + 2y^2.
Sorry I cannor provide the symbol for square root.
Click here to see answer by jim_thompson5910(28595)

Question 200827: Please walk me through each step in solving this problem:
Square root of 25x - 25 minus square root of 9x-9. (Sorry, I cannot product the square root symbol). They say the answer is 2times square root of x-1
Click here to see answer by jim_thompson5910(28595)

Question 200932: Please walk be thru each step: Rationalize the denominator:
The square root of 4a divided by square root of 3b. They say the answer is 2 times the square root of 3ab divided by 3b. I do not understand the top part. Isn't it square root of 12ab divided by 3b???
Click here to see answer by ankor@dixie-net.com(15652)

Question 200934: what if the radical expression is not a rational expression, for example what if I had √12 + √108? How would I begin on simplifying it? Afterall, there is no denominator other than 1.

Click here to see answer by jim_thompson5910(28595)

Question 200938: This is 5 different problems I've been having problems with for a while.
4/sqrt5
4sqrtx^12/24sqrtx^12
15sqrt8x^16/5sqrt2x^4
(3sqrt5)(2sqrt10)
(2sqrtx)(5sqrtx^3)
Click here to see answer by jim_thompson5910(28595)

Question 200941: Please walk me through each step: Rationalize the denominator:
3x divided by index 5 root of 2x^2y^3. They say answer is 3 times index 5 root of 16x^3y^2 divided by 2y
Click here to see answer by stanbon(57356)

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