What is the square root of x^3 = 8?
413500
2.8284271. For that to equal 8, x would have to be 2. 2 cubed is eight and the square root of that is 2.8284271. Another way to express that is 2^(3/2) = 2.8284271, or the "square root of two cubed".
339722
when X vries inversely as the square root of Y,\nX = k/sqrtY for some constant k\nX, when Y=3, is\nX = k/sqrt3\nX = ksqrt3/3\nand Y, when X=6, is\nk/sqrtY = 6\n6 sqrt Y = k\n36Y = k^2\nY = k^2/36\n\n^_^
904855
The square root of 8 is just below 3 since this is the square root of 9.  The smallest integer required is therefore 3.  The square root of 72 is between 8 and 9 since 8 squared is 64 and 9 squared is 81.  8 is therefore the highest value.\n\nThere are therefore 6 positive integers...3,4,5,6,7,8
875144
you have to take the square root of each side, then just simplyfy\n\nx = 1.2472191289247
541116
3=2 did get a correct answer...maybe you need to review your rules of square roots.
187606
A number squared is that number multipled by itself (3 squared = 9, 8 squared = 64 etc).\n\nIf a number is cubed it is multipled by itself 3 times (3 cubed = 27, 8 cubed = 512 etc).\n\nA number multiplied by itself X number of times is often referred to as the number to the power X so 10 to the power 5 is the same as 10 x 10 x 10 x 10 x 10.\n\nDont get squared and cubed confused with square root or cubic root.  A square root of a number is the number which when multiplied by itself returns you to the original number.  E.g. the square root of 36 is 6, the square root of 81 is 9.\n\nLikewise cubic root is a number which when multiplied by itself and multipled again returns you to the original number, e.g. the cubic root of 27 is 3 (3 x 3 x 3 = 27)
228116
The easiest way to find a square root is to use a calculator, but you can do it without one. Here’s one way, using 12 as an example of the squared number:\n\n   1. Pick a number that when squared, comes close to (but is less than) the number whose square root you’re finding: 3 × 3 = 9. This is a better choice than 4: 4 × 4 = 16\n   2. Divide the number you’re finding the square root of (12) by the number you squared (3) in step 1: 12 ÷ 3 = 4\n   3. Average the closest square root (3) and the answer of step 2 (4): 3 + 4 = 7. 7 ÷ 2 = 3.5\n   4. Square the average to see how close the number is to 12:\n\n3.5 × 3.5 = 12.25—Close, but not close enough!\n\nRepeat steps 2 and 3 until the number squared is very close to 12:\n\nDivide: 12 ÷ 3.5 = 3.43\n\nAverage: 3.5 + 3.43 = 6.935\n\n6.935 ÷ 2 = 3.465\n\n3.465 × 3.465 = 12.006, close enough!
786830
a(sqrt)8-3(sqrt)2a^2 =2a(sqrt)2-3a(sqrt)2                                      =(sqrt)2(2a-3a)=- a(sqrt)2
825419
x^3 - 6x^2 - 3x + 18 \n= x^2 (x -6) - 3(x-6) \n= (x^2 - 3)(x - 6)
404426
sqrt(81) = 9\n\nso take 9 x 3 = 27\n\nthen 27 plus 17 = 44\n\nfinaly 44 - 12 = 32\n\nso your final answer is 32.
1060817
Square Root:\n\nSQRT(1839472)=1356.271\n\nSQRT(75639)=275.0255\n\nSum:\n\nSQRT(1839472) + SQRT(75639)\n\n= 1631.2964 (ans)
460242
ur answer is [sqrt(3) - sqrt(7)].it can written as sqrt[x +/- 2*sqrt[y]] when x=a^2 + b^2 and y=a*b is equal to sqrt(a) +/- sqrt(b)
896780
Sqrt[8]=Sqrt[4x2]=\nSqrt[4]xSqrt[2]=\n2xSqrt[2]=\n2Sqrt[2]
693019
8(16) = 128\n\nx^29squared) + 10x\n\nmove all terms to same side x^2 + 10x -128 = 0\n\nuse quadratic equation: -b +/- (plus or minus) the square root of b^2 - 4ac.\n\nThis would make x equal to 7.3693168.... it is an irrational number- i had to take the square root of 612. but if you round x is equal to about 7 or -7
528657
x^4 - 8x^2 + 15 = 0\n(x^2 - 5)(x^2 - 3) = 0\nSo x^2 = 5 or x^2 = 3.\nSo x = sqrt(5) or x = -sqrt(5) or x = sqrt(3) or x = -sqrt(3).\n\nTo purdue_engineer:\nIf it makes you feel any better, I've been screwed a bit lately.  One person copied my answer and he ended up getting best answer.  Another person was wrong but bashed my answer and so she got best answer instead of me!\n\nBut anyway, sorry!  I'm a teacher, and I just can't help myself.
885710
it is approximately 2.64943586\nI figured it out by trial and error in excel !!!\nfrom question it is evident that X^3-4X =8 so I put following formula in worksheet cell = (A1^3)-(4*A1), and started from 1 in the A1. first approximation revealed that it must be between 2 and 3 and then using successive approximation I kept on trial and got the answer. It may be a little erroneous but what I could do it was all this.
793181
sqrt(x+4)=3\nx+4=9\nx=9-4\nx=5\n\ns