What is the square route of infinity?
607462
Its infinity of course
725561
Oh Dear! lots of dodgy maths out there!\nWelcome to Mr Cantor's infinity paradise hotel!\nWe got infinite rooms, but they're all full just now.\nDon't worry!.. we'll squeeze you in!..I'll just get every guest to move one room along\nNow you can get in room1\nHey there's an infinite stretch limo arrived with an infinite number of guests..no probs just get all our guests to move from room n to 2n!\nYes infinity is an uncountable number, but you can still do mathematical ops with it\nHope that helps, you can work out the rest foor yourselves. PS always agree with your wife- she's right even when she's wrong-now that's a true paradox
1136716
2r<22\nr<11\nAnswer= (-infinity,11)\n\n* don't have the infinity symbol on computer
870318
infinity could be ANY number\n\nif infinity(1) is 32,767 and infinity(2) is 868, the division does not equal one.  I just chose random numbers for that example.
205641
a) is just sum of an infinite geometric sequence with a=180 and r = (1/3) so thats 180/(1-1/3) = 180*(3/2)=270\nbut it also bounces back so 270*2-180 = 540 - 180 = 360\n\nyou guys remembers the zeno's pardox: a person need to walk from A to B.  But in order to do that he needs to walk to C, where C is midpoint of A and B.  But then he will again need to walk to the midpoint of B and C... etc.  It is inappropriate to say that the person does not ever arrive at B.  This is the same case as part a)
564541
I would say infinite.\n\nBECAUSE...\nSome square roots are irrational numbers e.g. root 2.\n\nThe bases which give a root between 0 and 1, lie between 0 and 1.\n\nThere are an infinite amount of numbers between 0 and 1 because you can go to infinite numbers of decimals.\n\nHope you get what I'm saying!
6015
intgral(from - infinity to infinity) of e^(-x^2)= sqrt(pi)\n\nThis is the area under the bell curve. It comes up very often in statistics.
387617
If you "plug" in infinity you get infinity/infinity, which is an indeterminant form\nUse L'Hospital's rule\n6/(5e^x/(2+5e^x))\n= 6(2+5e^x)/(5e^x)\n= (12+30e^x)/(5e^x)\nWrite as two separate fractions\n= 12/(5e^x) + 30e^x/(5e^x)\n= 12/(5e^x) + 6\nAs x goes to infinity, 12/(5e^x) goes to 0\nThus, the limit is 0 + 6\n= 6
1043703
The ... implies an endless continuation of the series.  So the answer is \n\nINFINITY.
1062497
What everyone has said is correct, but look at it this way: Consider a square. We know from the theorem of pythagoras that the ratio of the hypotenuese to the length of one side = sqrt(2) or, if you like, the ratio of one side to the hypotenuese = 1/sqrt(2). These constant ratios are independent of the size of the square. We have the ratio of the perimeter of the square to the hypotenuese = 4/sqrt(2) = 2*sqrt(2), which is independent of the size of the square.  Similarly the ratio of the circumference of a given circle to the longest chord(the diameter) has an exact value, and similarly this value is independent of the size of the circle. As has been mentioned, for any regular n-gon(square, pentagon, hexagon etc) the ratio of the perimeter to the length of the longest line segment that can be drawn within the n-gon will have a specific value depending on n, and this value can be determined. As we let n approach infinity, the n-gon approaches a circle and the ratio of the perimeter of the n-gon to the longest "chord" approaches a specific limit and this limit is pi, the ratio of the circumference to the diameter.  And, as mentioned above, analytic techniques can (and have) determined the value of the constant pi to a trillion or so digits.\n\nFootnote: SK, determining the limit of a series or even that the limit exists does not necessarily require calculus.\nFor example, the sum of a geometric series such as Sum[1/(2^n)] = 1/2 + 1/4 + 1/8+....+1/2^n is proved without calculus to be 1- 1/2^n and the limit of it (without calculus) as n---> inf. = 1. Check out the below link regarding pi.\n\n http://mathworld.wolfram.com/ArchimedesAlgorithm.html
612346
Fact or out the x. This leaves 36x^2-84x+49 which is a perfect square (6x-7) so it facotrs to:\n\nx(6x-7)(6x-7)
523409
say you had x^2 + 4x + 3 = 0\nto complete the square you want the right side to be "squarable." i.e. in the form (x+a)^2 = b\nin this case the form is\n(x+2)^2 = x^2 + 4x + 4\n\nso you add one to both sides and yet\nx^2 + 4x + 4 = 1\n\nthis equals\n(x+2)^2 = 1\nx+2 = sqrt(1) = +/-1\nx therefore = -3, or -1
626923
Infinity(∞) is not a number; it is a cardinality, a size. The concept of infinity answers some important questions, but also raises some interesting questions.\n- Are there other cardinalities that are not numbers?\n- Is there actually anything in the real physical universe that is infinite?\n- Or is infinity just a simplifying abstraction to go along with other simplifying abstrations in math (like infinitesimal points, level planes, straight lines, perfect circles, etc.)?\n- Are all infinite sets the same size or are there different "degrees" of infinity?\n\nBut that is all beside the point. To answer your specific question: since ∞ is not a number, "∞ + 1" is not a meaningful concept.\n\nHowever, infinite sets ARE a meaningful concept, and it is meaningful to ask something very similar to the meaningless "what is ∞ + 1?". Something like this, for example: \n- If you join (union) a set of size 1 with a disjoint set of infinite size, what is the size of the resulting set?\n\nThe answer is, of course, that the resulting set is infinite. \n\nUnfortunately, this correct answer to that meaningful question has led some to say nonsensical things like "∞ + 1 = ∞".
208997
The only way to get the expression infinity/-infinity is through a limiting process in the real numbers, so I'll assume you're talking about limits. In that case the form above is indeterminate, meaning that it depends on the functional forms in the limit. \nSuppose you have f(x) and g(x) such that lim [f(x)/g(x)] = infty/-infty. Consider the equivalent expression lim [f(x)/g(x)] = lim [(1/g(x))/(1/f(x))] which approaches the form 0/0. This allows the use of L'Hospital's rule to evaluate the limit, which we know from experience can be anything.
252036
Concept:\nEvery even integer may be expressed in the form 2n, where n is an integer.\nEvery odd integer may be expressed in the form 2n + 1, where n is an integer.\n\nLetting x² and y² be the 2 perfect squares, their difference is:\nx² - y²\nIf we let y = x - 1, then\nx² - (x - 1)²\n= x² - (x² - 2x + 1)\n= x² - x² + 2x - 1\n= 2x - 1\n= 2x - (1)\n= 2x - (2 - 1)\n= 2x - 2 + 1\n= 2(x - 1) + 1\n\nSince x² is a perfect square, x is an integer and also x - 1 is an integer. Notice that we've converted it into the odd-integer form. Therefore, every odd integer is the difference of two perfect squares^_^
874062
This progression is created by squaring the previous number and adding 1.\n0 squared = 0, add 1 and you get 1.\n1 squared = 1, add 1 and you set 2\n2 squared = 4, add 1 and you get 5,\nand so on.
331358
it's the Pythagorean Theorem\n\nIn any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.