Simplify. (2x square root of 2x)(3square root of 5x)?
968475
(2x sqrt(2x)) (3 sqrt(5x))\n= (2x*3) (sqrt(2x*5x))\n= (6x) (sqrt(10x^2))\n= (6x) sqrt(x^2) sqrt(10)\n= (6x)(x) sqrt(10)\n= (6x^2) sqrt(10)
819535
sqrt(x) - sqrt(3x + 3) = 1\nsqrt(x) = sqrt(3x + 3) + 1\n\nsquare both sides\n\nx = (sqrt(3x + 3) + 1)^2\nx = (sqrt(3x + 3) + 1)(sqrt(3x + 3) + 1)\nx = (3x + 3) + sqrt(3x + 3) + sqrt(3x + 3) + 1\nx = 3x + 3 + 2sqrt(3x + 3) + 1\nx = 3x + 4 + 2sqrt(3x + 3)\n\n-2x - 4 = 2sqrt(3x + 3)\n-x - 2 = sqrt(3x + 3)\n\nsquare both sides\n\n(-x - 2)^2 = 3x + 3\n(-x - 2)(-x - 2) = 3x + 3\nx^2 + 2x + 2x + 4 = 3x + 3\nx^2 + 4x + 4 = 3x + 3\nx^2 + x + 1 = 0\n\nx = (-b ± sqrt(b^2 - 4ac))/(2a)\n\nx = (-1 ± sqrt(1^2 - 4(1)(1)))/(2(1))\nx = (-1 ± sqrt(1 - 4))/2\nx = (-1 ± sqrt(-3))/2\n\nx = (1/2)(-1 ± isqrt(3))\n\nThere are no real solutions.
863644
take out 4x first\n4x(x2-6x+8)\n4x(x-4)(x-2)
1174116
8x^2 -5 -3x^2 + 7\n8x^2 - 3x^2 -5 + 7\n5x^2 + 2
304619
5/(sqrt(3))\n\nMultiply top and bottom by sqrt(3)\n\n(5sqrt(3))/3
412542
x = -b +(or)- sqrt(b^2 - 4ac)\n    -------------------------\n               2a
1095294
5) find the factors\nsquareroot of x * x * x * x * x * x /  7*7*5*5*2*2\nthe factors can come out of the square root by pairs only\nyou have 3 pairs of x's = x^3\nyou have 1 pair of 7's so it comes out of the square root as a 7\nx^3/7*5*2\nx^3/70 is it's simplified term\n\n__________________\nif u want all the correct answers then that would tarenirator's answers
774020
3x^2(5x^2 – 2x + 6) – 2x(x^2 + 3x + 9)\n15x^4-6x^3+18x^2-2x^3-6x^2-18x\n15x^4-8x^3+12x^2-18x\nx(15x^3-8x^2+12x-18)
156166
that's easy.\nD=b^2-4ac\nx1= [-b-sqrt(D)]/2a\nx2= [-b+sqrt(D)]/2a\n-------------------\na,b,c are the coeficients (ax^2+bx+c=0) so a=1, b=3, c=-5;\nsqrt is square root
520950
Is this 2x^2?\n\nIf so, (-b +/- square root b^2 - 4ac)/2a  the formula\n(-12 +/- sqrt 12^2 - 4(2)(-8))/ 2(2)  (Plug in a, b, c)\n(-12 +/- sqrt 144 + 64)/4 (Simplify square root)\n(-12 +/- sqrt 208)/4  (Simplify square root)\n(-12 +/- 4 sqrt 13)/4  (Simplify square root)\n(-3 +/- sqrt 13)   (Divide all terms by 4)\n\nAnswer:  -3 + square root 13 and -3 - square root 13
283762
If your question is 2√(x+5)=√(x+45), then:\nStep 1.  Take the square root of both sides.  You'll get 4x+20√(x)+25=x+45\nStep 2.  Move the numbers and variables until √(x) is by itself.  You'll get √(x)=(3x-25)/(-20)\nStep 3.  Square boths sites to get: x=(9x^2 -150x +625)/(40)\nStep 4.  Multiply both sides by 40.  You'll get: 40x=(9x^2 -150x +625)\nStep 5.  Subtract 40x:  0=(9x^2 -190x +625)\nStep 6.  x=17.034 and 4.077
386424
sqrt(6Q-5=5)\nfirst simplify whats in the parenthesis\n\n6Q-5=5\n+5\n6Q=10\n/6\nQ=3/5\n\nsqrt(3/5)=.775
888483
First question:\nTake the sq. root of both sides:  x+2=+/-(sqrt5)\nThen subtract 2:  \n                               x = -2 +/-(sqrt 5)\n\nSecond prob:  subtract 5 first:\n\n(a+2)^2 = -3\nTake the square root of both sides:  (a+2) = +/-(sqrt(-3)\n    \nsqrt (-3) = i*sqrt 3\n\na+2 = +/-(i*sqrt 3)\n\nThen subtract 2: final answer:  -2 +/-(i*sqrt3)
907350
1) sqrt(x - 1) = x - 3\nSquare both sides:\nx - 1 = (x - 3)²\nx - 1 = x² -6x + 9\nx² -7x + 10 = 0\n(x - 2)(x - 5) = 0\nx = 2 or x = 5\n\nAs a double-check:\nsqrt(2 - 1) = 2 - 3\nsqrt(1) = -1 <-- this is a true statement since 1 and -1 are roots.\n\nsqrt(5 - 1) = 5 - 3\nsqrt(4) = 2 <-- check\n\n2) sqrt(y + 12) = 2\nSquare both sides:\ny + 12 = 2²\ny + 12 = 4\ny = -8\n\nAs a double-check:\nsqrt(-8 + 12) = 2\nsqrt(4) = 2 <-- correct\n\nSo your answers are:\n1) x = 2 or x = 5\n2) y = -8
337853
The answer, before simplification, is sqrt(-8). There is no need to panic, as some of the other answerers did. This simplifies easily to\n\n2 * i * sqrt(2)
198742
28x^6 - 14x^4 + 35x\n(7x)*(4x^5 - 2x^3 + 5)
1155111
xsquare=x+x+x...x terms\nby diff x\n2x=1+1+1...x terms\n2x=x\n2=1