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Question 35615: multiply. write the answer in the form a+bi:
(2+i)^2
show work
Click here to see answer by rapaljer(4671)

Question 35625: sqrt25x^4 over sqrt81y^2
please show work
Click here to see answer by elima(1433)

Question 35803: 5^Square root of 160

Click here to see answer by stanbon(75887)

Question 36039: (6-3x)-2(1+x)=6x
Click here to see answer by Cintchr(481)

Question 36038: cube root xsquare -1=2
Click here to see answer by benni1013(206)

Question 36111: Rationalize the Denominator of the fraction.
2 over the square root of 5?
Click here to see answer by benni1013(206)

Question 36155: ok here is my problem me and my friend michael have the whole problem solved, we would just like to know if our math is correct and if not why isnt it? please help us out we dont quite understand how to do our homework!

Problem::One Leg of a right triangle is 7 yards longer than the other leg. The hypotenuse is 1yard longer than the longer than the longer leg. find the lengths of the sides of the triangle.
our teacher gave us most of the problem and i will provide my work along with this... here it is (x+7)(squared)(x sqaured)= (x+8)(squared)
x(squared)+ x(squared)+49=(x+8)(squared)
2x(squared)+14x(squared)+49= x(squared)+16x+64
-x(squared)-16x-64
x(squared)-2x-15=0
and thats about as far as my teacher helped us on it. i did figure out that the x=5 and when you plug that into the problem and square it that the three answers are hypotenuse= 169yards One leg= 144yards and the other leg = 25yards
so could someone please answer this for me cuz i have a bad grade in math right now and im trying to pull it up, thanks and peace

Click here to see answer by stanbon(75887)

Question 36343: please help us figure this problem out! we worked it but not sure if correct> problem:2x(squared)=14 thx! our answer was square root of 7/2, -square of 7/2.
Click here to see answer by ilana(307)

Question 36410: Please help me simplify this question
9(sqrt3x) + (sqrt27x)
A)18(sqrt3x)
B)9(sqrt3x) + 3(sqrt9x)
C)9(sqrt6x)
D)12(sqrt3x)
Click here to see answer by vidhyak(98)

Question 36436: hello,
this problem is driving me crazy. It is,in paranthesis, (3 sqrt 5)^5
Could you please show me how it is worked?
Thank you
Click here to see answer by stanbon(75887)

Question 36362: (a): Find the equation of the line joining the points
(─5, 2, 3) and (5, ─ 2, 3)
(b) Find the equation of the sphere, which contains the circle
x^2 + y^2 + z^2 = 9, 3x + 3y + 3z = 5 and
passes through the origin.

Click here to see answer by khwang(438)

Question 36358: 1.If α, b, g are the roots of the equation

x^3─7x^2 + x + 5 = 0

Find the equation whose roots are

α^2 + b^2, b^2 + g^2, g^2 + α^2.

2.Find all the fifth roots of (2+i).

Click here to see answer by khwang(438)

Question 36357: 1.If α, b, g are the roots of the equation

x3─7x2 + x + 5 = 0

Find the equation whose roots are

α2 + b2, b2 + g2, g2 + α2.

2.Find all the fifth roots of (2+i).

Click here to see answer by khwang(438)

Question 36542: Simplify (2sqrt3x)^4
Click here to see answer by vidhyak(98)

Question 36536: Simplify (16)^3/2
Click here to see answer by vidhyak(98)

Question 36544: Simplify (8/27)^-2/3
Click here to see answer by rapaljer(4671)

Question 36541: Simplify 7/sqrt 3
Click here to see answer by rapaljer(4671)

Question 36605: Simplify 2sqrt12 +3sqrt48 - 3sqrt3
Click here to see answer by checkley71(8403)

Question 36365: (b) Find the equation of the sphere, which contains the circle
x^2 + y^2 + z^2 = 9, 3x + 3y + 3z = 5 and
passes through the origin.
Click here to see answer by venugopalramana(3286)

Question 36707: Please help, I am having trouble with this simple problem, I cant seem to come up with the answer
Find the largest perfect square factor of 56.
I am thinking it is 7.4833147
but I dont think that is right, I dont understand the question
Thank you

Click here to see answer by checkley71(8403)

Question 36912: How do I Divide and simplify the square root of 4 over the square root of 27?
Click here to see answer by checkley71(8403)

Question 36931: hello, i need more help on these problem is factor out perfect squares ?
1)18
2)24
3)147
Click here to see answer by checkley71(8403)

Question 37314: xsquared+4x=-3
Click here to see answer by fractalier(6550)

Question 37505: i dont understand how i can use the square root. when you answer my question if you can put a few exersise and explain how i can do that, maube i can understand better
thanks
michelle

Click here to see answer by mszlmb(115)

Question 37641: I have a problem understanding this equation and the solution process to get it. Can you help me understand it? It is; sqrt of x^2=27
Click here to see answer by Earlsdon(6294)

Question 37837: if a^b=b^a and a=2b then find the value of a^2+b^2
Click here to see answer by fractalier(6550)

Question 37838: Prove that if x^y=y^x then (x/y)^(x/y)=x^((x/y)-1)
Click here to see answer by ilana(307)

Question 38140: What is 3 (square root 5) - 5 (square root 3)
Click here to see answer by fractalier(6550)

Question 38298: If I want to have a day care center of 20 children what would be the square feet?
Click here to see answer by hellyeah(21)

Question 38357:
_ For the equation x - �x = 0, perform the following: Solve for all values of x that satisfies the equation.

Click here to see answer by AnlytcPhil(1806)

Question 36649: what is 5 radical 2 squared?
Click here to see answer by checkley71(8403)

Question 38825: Simplify.
Square root of 2xy^5 �Square root of 10x^8y^2
Assume that all variables represent positive real numbers.
Click here to see answer by checkley71(8403)

Question 38816: Rewrite the following in simplified radical form:
Square root of 27z^6
Click here to see answer by checkley71(8403)

Question 38823: Simplify the following expression as much as possible:
3square root of 48 x square root of 12
Click here to see answer by longjonsilver(2297)

Question 38829:
Write in simplified radical form by rationalizing the denominator. _ �3 - 2 �� -5�3 + 8

Click here to see answer by AnlytcPhil(1806)

Question 39021: Solve where x is a real number.
square root of x + 4 = 1 + square root of x - 1
Click here to see answer by fractalier(6550)

Question 39246: Show EACH step in solving each of the following equations. State if any solution is extraneous.
a. sqrt(3x + 1) = 4
b. 2x - sqrt(3x - 2) = 8
c. sqrt(2x - 1) = x - 8

Click here to see answer by stanbon(75887)

Question 39247: can you please show me and explain EACH step in setting up and solving the following application problems. Give answers to the nearest thousandth if rounding is needed.
c. The length of a rectangle is 2 cm longer than its width. If the diagonal of the rectangle is 10cm. What are the dimensions (length and width) of the rectangle?
Click here to see answer by Earlsdon(6294)

Question 39245: Explain the process and show EACH step in the process of simplifying the following problems:
a.(sqrt2 + 5)(sqrt2 - 3)
b. sqrt5/sqrt8
c. (6 - sqrt20)/2

Click here to see answer by stanbon(75887)

Question 39372: Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.I am having a hard time coming up with an example for this problem.

Click here to see answer by Nate(3500)

Question 39403: three-quarters times the square of a positive integer number is 3 less than fives times the integer. find the integer
Click here to see answer by fractalier(6550)

Question 39403: three-quarters times the square of a positive integer number is 3 less than fives times the integer. find the integer
Click here to see answer by Earlsdon(6294)

Question 39429: Please Help!
The length of a rectangle is 3 more than the width. If the length is doubled and 4 is added to the width, a new rectanlge is formed with an area of 104 square units larger than the area of the original rectangle. find the dimensions of the original rectangle.
Click here to see answer by Paul(988)

Question 39405: I'm not sure if I answered this problem right:
The square of the first consecutive integer plus the square of the third consecutive integer equals 486 more than the square of the consecutive integer. find the integers.
Here's my work:

x^2 +x^2 +4X + 4 = 486 + x^2 +2x +1
2x^2 + 4x +4 = 487 + x^2 + 2x
Subtract x^2 + 2x + 487 from each side
x^2 + 2x - 483 = 0
(x+23) (x-21)
x = -23 x=21
Click here to see answer by venugopalramana(3286)

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