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

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Question 288293: Give the prime factorization of 450.
A. 9 • 52 • 2
B. 32 • 52 • 2
C. 3 • 5 • 2
D. 15 • 5 • 3 • 2

Click here to see answer by stanbon(57242)

Question 288293: Give the prime factorization of 450.
A. 9 • 52 • 2
B. 32 • 52 • 2
C. 3 • 5 • 2
D. 15 • 5 • 3 • 2

Click here to see answer by richwmiller(9135)

Question 288292: Give the GCF of 25p^2q^3, 45p^5q^2, 75p^4q^3.
A. 5p5q3
B. 5pq
C. 5p2q2
D. 45p4q3

Click here to see answer by Alan3354(30982)

Question 288439: How do I solve this equation (1 - sqrt x)^2?
Click here to see answer by checkley77(12569)

Question 288439: How do I solve this equation (1 - sqrt x)^2?
Click here to see answer by Alan3354(30982)

Question 288676: (the square root of X+2) = x? How do I solve this?
ALSO: (the square root of 2-x) = 2-x How do I solve this?
Click here to see answer by jim_thompson5910(28503)

Question 288888: I need help with this problem: The formula in Exercise 109 accounts for the effect of gravity only on a falling object. According to that formula, how long would it take a sky diver to reach the earth when jumping from 17,000 feet? (A sky diver can actually get about twice as much falling time by spreading out and using the air to slow the fall.)
The formula is t = sqrt. h/sqrt 16
Click here to see answer by Alan3354(30982)

Question 288904: SQRT 2 + SQRT 6 divided by SQRT 8 + SQRT 6
Click here to see answer by stanbon(57242)

Question 288904: SQRT 2 + SQRT 6 divided by SQRT 8 + SQRT 6
Click here to see answer by mananth(12270)

Question 288951: Please help me solve 1570536900 times 3966.84845^-2
Click here to see answer by Alan3354(30982)

Question 288951: Please help me solve 1570536900 times 3966.84845^-2
Click here to see answer by unlockmath(1599)

Question 288897: 6√45 + 2√80
Please, help me solve this.
Click here to see answer by scott8148(6628)

Question 289055: Solve b^4+b^2-20=0
thanks
...by any chance, is this answer correct: -2,2,-i radical 5, i radical 5?

These are my steps...please tell me if I found out the correct answer, and if I didn't, please show me the correct answer....thanks
b^2=x
b^4+b^2-20=0
x^2+x-20=0
x^2+5x-4x-20=0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
{b^2+5}{b^2-4}=0
(b^2+5)(b+2)(b-2)=0
b=2,-2
b^2=(-1)(5)
b= radical (-1)(5)
b= +/- i radical 5
b^2+b( i sqrt 5)- b( i sqrt 5)- (i^2)(sqrt 5^2)
b^2-(-1)(5)
i^2=-1
=b^2+5
So, is it correct that the answers are: -2,2,-i radical 5, i radical 5?
Click here to see answer by nerdybill(6948)

Question 289126: Sqrt(3)+ Sqrt(x-2)=Sqrt(x+3)
Click here to see answer by jim_thompson5910(28503)

Question 289118: Under square root(3-x) + under square root(x+5)=4
Click here to see answer by CharlesG2(828)

Question 289122: Sqrt(5x+1)=Sqrt(x-2) +3
Click here to see answer by jim_thompson5910(28503)

Question 289537: sqrt(x)+ sqrt(x-5)=sqrt(2x+7)
Click here to see answer by Fombitz(13828)

Question 289803: what is the square root of -2 =7
Click here to see answer by Fombitz(13828)

Question 289933: What is the simplified form of 3 the sqrt of 3 the sqrt of 6 over the sqrt of 9?
Click here to see answer by Fombitz(13828)

Question 290056: I need steps for simplifying 6(sqrt7/sqrt4)+3(sqrt28)-10(sqrt1/sqrt7).
Thanks so much!
Click here to see answer by dabanfield(803)

Question 290056: I need steps for simplifying 6(sqrt7/sqrt4)+3(sqrt28)-10(sqrt1/sqrt7).
Thanks so much!
Click here to see answer by checkley77(12569)

Question 290054: I need steps for simplifying 10/(sqrt7+sqrt2)
Thank you!!
Click here to see answer by jsmallt9(3296)

Question 289695: -4√112-3√128+3√63-2√7 simplify
Click here to see answer by jsmallt9(3296)

Question 290237: Square root 2y+1=5
The solution for y =
Click here to see answer by checkley77(12569)

Question 290236: Simplify
4 ^5/2
Click here to see answer by checkley77(12569)

Question 290267: what is the solution for square root of 2/3 times square root 5/6

Click here to see answer by richwmiller(9135)

Question 290171: Please help and if possible try to explain 2/3 radical 14 multiplied by 12 radical 7
Thank you very much!
Click here to see answer by jsmallt9(3296)

Question 290456: how do u solve question 26 page 595
Click here to see answer by richwmiller(9135)

Question 290613: 3a^2/a-b minus 3b^2-6ab/b-a
Click here to see answer by ankor@dixie-net.com(15634)

Question 290713: how do solve the radicand of 32 divided by 4 or the radicand of 32 over 4?
Click here to see answer by Earlsdon(6287)

Question 290713: how do solve the radicand of 32 divided by 4 or the radicand of 32 over 4?
Click here to see answer by richwmiller(9135)

Question 290738: how do you do the problem of
square root of 90 times the sqaure root of 40 (simplified)
Click here to see answer by Earlsdon(6287)

Question 290994:
Click here to see answer by superhardstone(1)

Question 291156: The formula t=square root of d over 16, describes the amount of time t,in seconds, that an object falls a distance of h feet.
a) write an expression in simplest form for the exact amount of time an object falls a distance of 64 feet.
b)Find the distance an object falls in 9 seconds.
Please help me I'm a 32 year old stay at home mom that has gone back to college
I can't figure this one out please help.
Click here to see answer by jim_thompson5910(28503)

Question 291195: I need to simplify for the following equation. Can I have a step by step?
∜36√5
Click here to see answer by Edwin McCravy(8882)

Question 291615: I need help with this problem ∛-24x10y8 * ∛18x7y4 this is how far I got:
∛-24x10y8 * ∛18x7y4
= ∛-24x10y8 *18x7y4
=∛-432x17y12
=

Click here to see answer by stanbon(57242)

Question 291866: how do i solve the square root of y to the 4th power diveded by 25
Click here to see answer by checkley77(12569)

Question 291890: x=square root 35+2x
Click here to see answer by Earlsdon(6287)

Question 291928: Please help solve me solve this problem
(-16)1/4 Evaluate the expression
Radical and rational exponents

Click here to see answer by stanbon(57242)

Question 291933: how would you simplify large radical such as radical:3237
Click here to see answer by richwmiller(9135)

Question 292392: Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero.
7
____
9- (3 under a radical)

So it's 7 divided by 9 minus the square root of 3.
I think. I'm trying to write this so it makes sense.
Click here to see answer by solver91311(16868)

Question 292605: Please help me to solve this so I can understand the process of solving radical expressions. I am using this one as an example for me to go by.
√X − 2 + 1 = 6

Click here to see answer by Theo(3458)

Question 292630: Im not sure how to write this epression, but ^3 15/ ^3 3 the 15 and the 3 have the radical signs
Click here to see answer by Fombitz(13828)

Question 292772: The ratio of the length of the hypotenuse to the length of the shorter leg in a right triangle is 8:5. The hypotenuse measures 144 meters. Find the length of the longer leg.
Click here to see answer by richwmiller(9135)

Question 292388: Write the quotient in the form a + bi
6+2i
_____
9-3i
Click here to see answer by Fombitz(13828)

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