Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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Question 1016549: True or False: For the set of integers, √x^n can be simplified when x>=0 and n >= 2. Justify your answer.
Click here to see answer by richard1234(7193) About Me 

Question 1014928: Please explain how to teach multiplying negative numbers with a visual?
Click here to see answer by fractalier(6550) About Me 

Question 1016708: I'm utterly confused by this question...
The length of a golden rectangle is equal to x+x√5. If x = √5, what is the length of the golden rectangle?
Thanks to anyone who can help :)

Click here to see answer by ikleyn(52785) About Me 

Question 1016749: +sqrt%284%2Bsqrt%284-+sqrt%28+4%2B+sqrt%284-%22%22%2A%22%22%2A%22%22%2A%22%22%29%29%29%29
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Question 1017143: How do you simplify
3/4 square root 125

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Question 1017143: How do you simplify
3/4 square root 125

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Question 1017150: how do you find the product:
(7 CUBED ROOT 6)(3 CUBED ROOT 9)

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Question 1017245: How many roots do the following equations have? -12x^2 -25x+5+x^3=0
Click here to see answer by ikleyn(52785) About Me 

Question 1017266: Sorry i gave the wrong questions.. what is quartic function with only the two real zeros given.x=-4and x=-1
Click here to see answer by richard1234(7193) About Me 

Question 1017364: how the valve of square roots is equal to 1/2

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Question 1017549: How can i rationalise this surd
+1%2F%28sqrt%282%29%2Bsqrt%283%29%2Bsqrt%285%29%29+

Click here to see answer by ikleyn(52785) About Me 

Question 1017954: (-5 square root 3)(4 square root 5)
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Question 1017969: What is the square root of 93x
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Question 1018059: how shall i find the square root of 289
without using calculator?

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Question 1018348: What the square root of 3226694416
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Question 1018616: Solve the formula for R. You don't have to "simplify" anything.
H=sqrt(2R+1)-3
The 2R+1 is under the sqrt symbol in the question.

Click here to see answer by Boreal(15235) About Me 

Question 1019035: find the real solution of x^3+x-1=0

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Question 1019035: find the real solution of x^3+x-1=0

Click here to see answer by fractalier(6550) About Me 

Question 1019036: find the real solutions of x to cube root plus x minus 1 equal 0
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Question 1019036: find the real solutions of x to cube root plus x minus 1 equal 0
Click here to see answer by fractalier(6550) About Me 

Question 1019628: The formula for the slant height of a right circular cone is
s = r^2 + h^2,
where r is the length of a radius of the base, and h is the altitude of the cone. Find the altitude of a cone whose slant height is 30 inches and whose radius is 24 inches.

Click here to see answer by addingup(3677) About Me 

Question 1019655: A number is called a perfect square if it is the square of an integer. How many pairs of perfect squares differ by 495? (Order does not matter. So, the pair "16 and 9" is the same as "9 and 16".)
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1019746: Simplify ... ^3sqrt((8x^3)^2)
Click here to see answer by Alan3354(69443) About Me 

Question 1019811: A container has a square base. The area is 800 cm^2. The size of a book is 25 cm by 30 cm. Can the book lie flat on the base of the container?
====================================================
a. Find the side length of the container.
b. Compare the side length with the dimensions of the book.
c. Use the comparison to determine if the book will fit.

Click here to see answer by ikleyn(52785) About Me 

Question 1020358: simplify the square root of 512k2
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1020491: How do you graph k(x)=x^2-6 with 5 points?
&
How do you graph h(x)= square root x-2 with 5 points?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1020491: How do you graph k(x)=x^2-6 with 5 points?
&
How do you graph h(x)= square root x-2 with 5 points?

Click here to see answer by Fombitz(32388) About Me 

Question 1020772: Complete the folowing number patern and describe any number patterns#triangle 1 2 3 4 5 6 7 8 9 10...100 #matches 3 5 7 9 11 13 15 17 19 21 ...201
Click here to see answer by ikleyn(52785) About Me 

Question 1020913: If x= 5-4√6, find the values of 1/x, x+1/x and x^2 + 1/x^2
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Question 1020910: Simplify
7^n-3×7^(n+1) / 20×7^(n-2)×7^(n+1)

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1021519: 3x^2-4x-6=0
Click here to see answer by Alan3354(69443) About Me 

Question 1021312: The larger square has an area of 216x^2 and the smaller square has an area of 125x^2. What is the combined perimeter of the two squares?
Click here to see answer by Alan3354(69443) About Me 

Question 1022092: Hi! Please help me with this question.
Differentiate y= sqrtx / (x^2+1) using the quotient rule
My work:
f'(x) =((x^2+1)(x^(1/2))' - (x^(1/2))(x^2+1)')/(x^2+1)^2
= ((x^2+1)(1/2x^(-1/2)) - (x^(1/2))(2))/ (x^2+1)^2
= (1/2x^(5/2) + 1/2x^(-1/2)-2x^(1/2))/ (x^2+1)^2
I can't seem to get the answer which is (1-3x^2)/((2sqrtx)(x^2+1)^2)
Thank you!


Click here to see answer by Boreal(15235) About Me 

Question 1022235: simplify: 4√400/ 4√5. Show your work(i need to know how to work this problem out.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1022365: A kids karate match is held on a square mat that has an area of 361 ft squared. What is the length of each side?
Click here to see answer by macston(5194) About Me 

Question 1022561: how do u find the 10th term and the nth term of a sequence

Click here to see answer by fractalier(6550) About Me 
Question 1022561: how do u find the 10th term and the nth term of a sequence

Click here to see answer by ikleyn(52785) About Me 

Question 1023197: How to find the smallest four digit number which is a perfect square.?
(without hit and trial method)

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Question 1023197: How to find the smallest four digit number which is a perfect square.?
(without hit and trial method)

Click here to see answer by Alan3354(69443) About Me 

Question 1022785: Please Me With This: Use Binomial Theorem To Evaluate Sqrt%2899%29 To Five Significant Figures
Click here to see answer by Fombitz(32388) About Me 

Question 1023671: simplify
\sqrt{-24} * \sqrt{-6}}

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Question 1023671: simplify
\sqrt{-24} * \sqrt{-6}}

Click here to see answer by MathTherapy(10552) About Me 

Question 1023826: What is the [(5-2x)1/4]2
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Question 1023959: A square with side length s has an area of 361 centimeters, what is the side length of the square in centimeters

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Question 1022768: What is the cube root of -9x^2y^4 times cube root of 12xy
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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