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

Tutors Answer Your Questions about Radicals (FREE)

Question 532586: how do you solve (2radical3-5)raised to the 2nd power???
Click here to see answer by stanbon(57347)

Question 532580: My homework says to rationalize the denominator. I've tried another problem similar to this and I ended up getting it wrong. This is another one I'm stuck on. Cube root of 35 over the cube root of 21. I thought you had to break the top as cube roots of 5 and 7 and break the bottom as cube roots of 3 and 7 and cancel out, then multiply the top and bottom by the cube root of three. Is that the correct way to rationalize? Please and thank you!
Click here to see answer by Alan3354(30993)

Question 533908: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by solver91311(16885)

Question 533908: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by fcabanski(874)

Question 534268: Can you show me the steps for calculating 8 (divided by) cube root 4 and get the answer of 2 cube root 2?
Thanks,
Click here to see answer by stanbon(57347)

Question 534282:
Click here to see answer by oberobic(2304)

Question 534443: change to simplest radical form:
square root of (a + 3) divided by 2+ 3 times the square root of (a+3)
√(a+3)÷2+3√(a+3)
Click here to see answer by fcabanski(874)

Question 535479: I am stumped. Please help me solve this equation...

I'm not sure if I am supposed to multiply the left expression by a power of ^3/2 to get rid of the power and then also do the same to the right.I know the left expression can be rewritten as the third root of z/4-5 to the second power.
Click here to see answer by Alan3354(30993)

Question 535560: The scale of a map is 0.25 cm : 15 mi. Determine the distance between two
cities that are 6.8 cm apart on the map.
Click here to see answer by fcabanski(874)

Question 535741: Cannot seem to wrap my head around this one ^16sqrt(-5)^16 Thank you for any help
Click here to see answer by KMST(1868)

Question 535755: I have to add the expression, if possible. And assume that the varables are positive real numbers. The problem is 2 square root of 12 + square root of 48. I have to simplify this.
Click here to see answer by Earlsdon(6287)

Question 536294: The square root of 5 more than twice a number is 7. Find the number
Click here to see answer by fcabanski(874)

Question 536294: The square root of 5 more than twice a number is 7. Find the number
Click here to see answer by MathTherapy(1424)

Question 536414: The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x)=3x^2 - 24x + 144. Find the number of automobiles that must be produced to minimize the cost
Click here to see answer by josmiceli(9678)

Question 536651: 3+sqrt(z-7)=sqrt(z+8)
Click here to see answer by nyc_function(2733)

Question 536829: Express in terms of i.
- SQRT -496
Click here to see answer by fcabanski(874)

Question 536888: how do you solve this math problem 1/4=3-2x-1 over x+2 I know that you rewrite it like this but lost after this 2x-1 over x+2 = 3-1/4

Click here to see answer by mananth(12270)

Question 537000: Solve using the square root property
(x+6)^2=14
Click here to see answer by jim_thompson5910(28595)

Question 537004: solve the following equation:
x+1=sqrt7x-5
Click here to see answer by mananth(12270)

Question 537418: Hello tutor,
please help me with this problem. sqrt(5) / 5 sqrt(45)
i solved it down to sqrt(5) / 15 sqrt(5) i just dont know how to finish it off.

thank you
Click here to see answer by mananth(12270)

Question 537567: please help me solve this: is this number rational, irrational or not a real number? -√122
Click here to see answer by Tatiana_Stebko(1326)

Question 537554: (1/32)^x-7=(sqrt 2)^8x-2
Click here to see answer by Tatiana_Stebko(1326)

Question 537720: how to solve: .1=1/sqr root of n
Click here to see answer by jim_thompson5910(28595)

Question 537735: sqrt(2)+3sqrt(2)
Click here to see answer by jim_thompson5910(28595)

Question 537955: sgrt (-4+v)=-2
Click here to see answer by jim_thompson5910(28595)

Question 538347: What are all rational numbers x which satisfy the equation: x + sqrt(x) divide by (81x (x-1))/ 4?
Click here to see answer by Edwin McCravy(8909)

Question 538436: I am having trouble simplifying cube roots:
(5xy^2)^1/3 * (25x^10y^12)^1/3
Click here to see answer by Alan3354(30993)

Question 538564: -5x^2=-225
Click here to see answer by Mathpassionate(25)

Question 538685: help me solve
Click here to see answer by jim_thompson5910(28595)

Question 538704: help me solve
Click here to see answer by jim_thompson5910(28595)

Question 538707: help me solve
Click here to see answer by KMST(1868)

Question 538874: help me simplify 7 square roots of 3 divided by 2
Click here to see answer by MsRedz123(24)

Question 538928: (2x-5)^2= 81
Click here to see answer by jim_thompson5910(28595)

Question 539044: sq rt 7260 / sq. rt 3960=

Thanx.
Click here to see answer by Alan3354(30993)

Question 539258: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ?
Click here to see answer by Alan3354(30993)

Question 539247: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ?
Click here to see answer by josmiceli(9678)

Question 539264: h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
List ordered pairs (t,h)
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ?
Click here to see answer by Alan3354(30993)

Question 539322: When dividing the two complex numbers 5+8i
----
1+2i
then the first step is?
I said 5+8i 1-2i
------ * ----
1+2i 1-2i
Click here to see answer by Alan3354(30993)

Question 539323: Hello
Find the distanct between (-7,-4) and (-5,2)
I thought 108 sqrt 3
Click here to see answer by Alan3354(30993)

Question 539475: Please help me factor the radical expression: √(x^2-x-2) thank you.

Click here to see answer by stanbon(57347)

Question 540355: Hello, I was reviewing radicals for a test tomorrow and had trouble with one question on the bonus worksheet.
It was.....
√16x^2
This would be a simple problem, but I'm dreadful at factoring and cant remember what to do with the 16x^2 or how to solve it.
Thank you so much for your time, work, and effort!!
Click here to see answer by jim_thompson5910(28595)

Question 541045: I feel like I should know this. But I'm drawing a blank. How do I "Change the following expression to an equivalent expression in radical notation. Assume that the variable is postive"?
x^2/3
Thank youu
Click here to see answer by josmiceli(9678)

Question 541279: Please help me solve and explain so I can help my son understand.
3 - 2 radical 11 / 2 + radical 11
Write the equation in simplified radical form.
Click here to see answer by AnlytcPhil(1277)

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