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

Tutors Answer Your Questions about Radicals (FREE)

Question 68716: What is the square root of 306 using the factor tree method rahter than comong out with decimals
Click here to see answer by rmromero(383)

Question 68656: my equation is s= x radical 2g over x+y solve for y
Click here to see answer by jim_thompson5910(28545)

Question 68803: what is the the square root of 28n squared?
Click here to see answer by jim_thompson5910(28545)

Question 68801: What is the answer to -3 on the outside of the square root of 120?
Click here to see answer by jim_thompson5910(28545)

Question 68806:
Click here to see answer by Nate(3500)

Question 69394: Could someone please help me simplify
^4(sqrt)z^4
Thanks so much for your help! I have really struggled with this one!
Click here to see answer by jim_thompson5910(28545)

Question 69470: How do you simplify a radical?
Click here to see answer by stanbon(57290)

Question 69505: what is the answer to radical 12
Click here to see answer by Nate(3500)

Question 69555: Simplify: ^3(sqrt)48
a.16
b.4 ^3(sqrt)4
c.2 ^3(sqrt)6
d.8 ^3(sqrt)6
Thanks
Click here to see answer by funmath(2925)

Question 69554: simplify ^4(sqrt)z^4
a.4
b.z
c.z^2
d.2^4
Thanks
Click here to see answer by funmath(2925)

Question 69624: Simplify. I have come up with . Is this correct???? I think that I have done something wrong, but I am not sure.

Click here to see answer by Edwin McCravy(8903)

Question 69797: (6+ sqrt-16) + (2-sqrt16)
Click here to see answer by checkley75(3666)

Question 69921: my question is:
What is the sqrt of 75 and I ma trying to simply radicals. My teacher has told me that at least one the numbers must be a perfec5rt square. Example:
sqrt 27 = sqrt9 sqrt3 or something like that. Help please
Click here to see answer by jim_thompson5910(28545)

Question 70005: What does radical two over radical seven equal?
Click here to see answer by bucky(2189)

Question 70057: square root of 3 + the square root of 27
Click here to see answer by rapaljer(4667)

Question 68805:
Click here to see answer by jim_thompson5910(28545)

Question 70146: square root 3 * square root x + 1 = square root 3x - 5
Click here to see answer by ankor@dixie-net.com(15646)

Question 70601: the squareroot of ten times the squareroot of sixteen over the squareroot of five
Click here to see answer by checkley75(3666)

Question 70575: x^2+x+ the square root of (x^2+x) -2 =0. I know to iscolate the radical one one side of the equation and then square both sides. I'm supposed to get a quadratic equation, set it equal to zero and solve. But instead I'm getting x^4+2x^3-4x^2-5x+4=0. As this is not in standard ax^2+bx+c form and the degree is 4, I have no idea now to solve it for x. Please help.
Click here to see answer by Earlsdon(6287)

Question 70774: The square root of x^3 equals 8. Solve.
Click here to see answer by terbear1963(43)

Question 70971: I need help with this three problems i've tried them every way possible but i don't get the answer. I have the answers but i don't know how to get to them.
so i can understand them and do my own homework. please help.
Problem# 30 for chapter 9.5
Solve each of the equaitons . Be sute to show how to check the solutions.
inside of the square root it has : 2y+7 then space +4 = y

Problem # 16 from chapter 9.6
Geometry. For the home described in exercise 15, if the roof is 7m from peak to eave and the attic space is 3m high at the peak, how long does each of the pieces of insultaion need to be? round to the nearest tenth.

Click here to see answer by Earlsdon(6287)

Question 70993: How can I solve radical 360 divided by radical 6?
Click here to see answer by stanbon(57290)

Question 71298: Need help solving these two problems;
. Simplify:
[81x8y12z20]
. Perform the indicated operations:
3√[48] + 7√[12] –√[75]

Click here to see answer by checkley75(3666)

Question 71578: The cube root of x^2 equals 4. Solve.
Click here to see answer by stanbon(57290)

Question 71579: Is the square root of x^2 an identity (true for all values of x)? Explain.
Click here to see answer by mathman409(67)

Question 71746: The volume of a cube is given by V=s^3. Find the length of a side of a cube if the volume is 729cm^3.
Click here to see answer by checkley75(3666)

Question 71911: Find the solution set for (radical 3x+7)+(radical x+6)=3.

Click here to see answer by galactus(183)

Question 71909: 1. I need to figure out the soultion set for radical(3x+7)+ radical(x+6)=3. The number in parenthesis are actually supposed to be under the radical, I just don't have a button for that. So radical + a radical.
2. Find the domain of: x-2/radical(x+2)

Thank you,
Nikki
Click here to see answer by ankor@dixie-net.com(15646)

Question 72005: I need help solving, -2square root of 5 +5 square root of 5 -3 square root of 5
Click here to see answer by Earlsdon(6287)

Question 72094: find all roots of the polynomial x3 - x2 +16x -16
possible answers:
1, 4, -4
-1, 4, -4
-1, 4i, -4i
1, 4i, -4i
what does the i come from? please explain equation and solution.Thank you
Click here to see answer by rmromero(383)

Question 72193: I did the first two but i need to know if i am correct and then i need help in the third one.
Directions for all three: Evaluate, if possible
Problem #6
sqrt121 = my answer is 11
Problem #12
sqrt (4)/(25) = my answer is (2)/(5)
Problem #3
3sqrt - (8)/(27)
This one i have no idea....

Click here to see answer by pradhyumna.kumar@gmail.com(62)

Question 72198: Problem #32
Directions: simplify by combining like terms.
sqrt 63 - 2sqrt 28 + 5sqrt7
Problem # 50
Directions: Find the perimeter of the triangle shown in the figure.
the triangle has for the hypotenuse leg= 4
height leg = sqrt 5 - sqrt 3
base leg = sqrt 5 + sqrt 3
Click here to see answer by pradhyumna.kumar@gmail.com(62)

Question 72196: Directions for both problems: Use property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers.
Problem #2
sqrt 50
Problem #24
sqrt 72x^3
Click here to see answer by rmromero(383)

Question 72199: Problem#4
directions: Perform the indicated multiplication. Then simplify each radical expression.
sqrt3 Multiplied by sqrt 5

Problem#28
directions: Perform the indicated multiplication. Then simplify each radical expression.
sqrt7 (2sqrt3 + 3 sqrt7)
Problem#50
Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression.
(18+sqrt567)/(9)
Click here to see answer by rmromero(383)

Question 72254: Write in simplified form
the square root of 5/the square root of 2b
Click here to see answer by bucky(2189)

Question 66873: Please help: find product and show work
(5x-y√3) (5x+y√3)
From Algebra 1: explorations and applications
practice 42 for use with section 6.5
Thank-you!!
Click here to see answer by terbear1963(43)

Question 72412: 2) Is √x^2 = x an identity (true for all values of x)?
Answer:
Explain your answer in this space.

Click here to see answer by pradhyumna.kumar@gmail.com(62)

Question 72473: x2-2x+3=0
Click here to see answer by jim_thompson5910(28545)

Question 72578: The directions say "Use product property to simplify the expression".
1.) Radical 240
Click here to see answer by checkley75(3666)

Question 72577: I need help solving this problem:
3^√x^2 = 4
"^" it means it's an exponent.... so it is 3 cubed to the square root of X squared = 4"
Click here to see answer by stanbon(57290)

Question 72601: I am kind of stuck on this problem... maybe someone can assist me! any help would be greatly appreciated!

For the equation x - √x = 0, perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space

b) Graph the functions y = x and y = √x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:

Click here to see answer by Edwin McCravy(8903)

Question 72588: (125/8X to the 12 power ) all that raised to a -2/3 power. So 125 over 8X to the 12th power and all of that raised to the -2/3 power
I tried 125 to the -2/3 over 8 to the -2/3 (times) 8X to the -8 and got 125 over 8X to the -8.then fliped it because it is a negative exponent which would be 8X to the 8th over 125 which reduces to 2X to the 8th over 5? I really don't understand this at all.
Click here to see answer by bucky(2189)

Question 72640:
x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Graph
Graph Type
Explanation
Domain
Range

Click here to see answer by stanbon(57290)

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