What is the square root of -1?
117623
first, accept the fact that (i)^2 = -1. It's way of doing of mathematicians to solve for complex numbers.\n\nHence, sq root of -1 is i. \n\nif you're learning elementary indices, then most probably this is a trick question by the teacher.
346355
The "principal" square root is the positive one, 4/5.\n\nThe "negative" square root of the fraction is -4/5, because\n\n-4/5 * -4/5 = 16/25 also.
866033
1 followed by 10^50 zeros\n\nSince a googolplex (notice it's googol, not google like the search engine) is a 1 followed by 10^100 zeros, the square root of that is just half the exponents; just like sq.rt. of x^2n = x^n.\n\n~ ♥ ~
485166
The correct answer is d.\n\nf(1-x) will give a negative number for all positive 'x' values.\n\nbut squaring these negative number will always give a positive number i.e (-4)^2 = +16.\n\nTherefore in the equation f(x) = x^2(1-x)^2;\n\nYou can see that for all positive or negative numbers you will have a positive value. Again,\n\nLet x=5; Then 1-x = -4;\n\nFor the equation d.. 1-(-4) = 5. i.e the original number.\n\nHence, f(5) = 5^2 (-4)^2 = 25*16;\nAlso, f(-4) = (-4)^2 (5)^2 = 25*16;\n\nThus, for all values of x... Equation d is TRUE.
568779
6root2\n\nor the sqaure root of 72\n\nthe decimal form is 8.485281374\n\nsame thing\n\n\nlol by the way, those answers below mine couldnt be more wrong...\n\nthe square root of two definitely ISNT 1\n\nsquare root of 1 is 1\n\nlmfao...sorry sonya... i dont think your brain knows what its doing... may i suggest a transplant? or suicide?
435410
2i or -2i, where i = sqrt(-1)\n\nIf you haven't learned imaginary numbers, then your answer would be that the sqrt(-4) is not a real number.
1173334
The problem is that there are two possible square roots for each complex number other than 0. You can't consistently pick one for each complex number and keep the property that the square root of a product is the product of the square roots. In your example, both 1 and -1 are square roots of 1 and your calcualtion shifts from one to the other.
218797
sqrt(157452304)= +/-12548\n\ndon't forget that 2 negatives cancel out so every number has 2 square roots (either rational or irrational) , one positive and one negative.
540401
(3 + i)(5 + i)(7 + i)(8 + i) = 650 + 650i\n\nwhere i is the square root of -1.
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!
786717
its 1\n\nsince i = (-1)^1/2\n\nso i^2 = (-1)^(2*(1/2))\n\nwhich is 1
50988
The square root of 144 is 12 and -12. The principal square root is 12.
1122465
Just plug in 1 for x.\n√(1-1) = √0 = 0
391334
2&#92;2=-2&#92;2\n1=-1\ntherefore the answer is -1.
87424
For negative exponents, make a fraction of 1 over whatever the base number is.  Then raise the denominator to the positive of your exponent.\n\nIn this case 10^(-2) would be 1/10^2 (read "1 over ten squared) so the answer is 1/100\n\nSome other examples:\n\n2^-5 = 1/(2^5)\n\n4^(-1/2) = 1/(4^1/2) or 1/sqrt4
307994
The square root of negative 1 is the number, which multiplied by itself, gives negative 1.  Any real positive number when multiplied by itself gives a positive number.  Any real negative number when multiplied by itself gives a positive number.  Therefore no real number can be the square root of negative 1.\n\nHowever, it is useful to create a system of mathematics where negative one has a square root.  To do this we think of all the real numbers as belonging to a line.  We create another line, perpendicular to this line, and intersecting at zero.  We call this line the imaginary axis.  Then we invent rules for multiplying points in the plane defined by the real axis and the imaginary axis.  The way mathematicians have defined these things, the unit 1 on the positive imaginary axis when multiplied by itself is equal to negative 1.
1077315
The square root of pi is approximately 1.772453851.