Simplify each radical expression. (square root of 3 then + 5)( square root of 3 the minus 3)?
827490
I already answered 2 of your questions...are you even trying to do this on your own?
924177
FOIL out the first part of the expression and simplify:\n\n(x+3)^2 = x^2+6x+9\n\nTherefore, (x+3)^2-6 = x^2+6x+9-6 = x^2+6x+3\n\nTherefore using the general form, ax^2+bx+c, you can conclude that,\n\na=1, b=6, c=3\n\n----------------\n\nHope this helps
974343
√50 + √72 - √8\n√(25*2) + √(36*2) - √(4*2)\n√25√2 + √36√2 - √4√2\n5√2 + 6√2 - 2√2\n9√2
256804
5x^2  -10 x +5\ncan be factorised into (x-1)(5x-5)\nsimplified to 5(x-1)(x-1)\n\nthus square root of given sum becomes square root of \n5(x-1)^2\n\nwhich is (x-1)*5^1/2
921411
(x+2)(x-5)=(x-1)(x-3)\nx^2-3x-10=x^2-4x+3\n-3x-10=-4x+3 [x^2's cancel]\n+3x       +3x\n-10=-x+3\n-3        -3\n-13=-x\nx=13
640665
radical is the same as root...\n\n"3 radical 6" = 3*sqrt(6)
370509
You can multiply it out like this:\n\n(2 + 3 times square root of x) times (4 - 5 times square root of x)\n\nequals (2 times (4 - 5 times square root of x)) + ((3 times square root of x) times ((4 - 5 times square root of x))\n\nequals (2 times 4) - (10 times square root of x) + (12 times square root of x) - ((3 times square root of x) times (5 times square root of x))\n\nequals 8 + (2 times square root of x) - (15 times x)
804510
3x^2+6x+5x+10\n(3x+5)(x+2)
713553
you mean simplify squared root of 8?\n8= squared root of 2x2x2\n8= 2 radical 2
896236
First expand the brackets, collect like terms and simplify.\n\n(-2x^2 + 5x - 1) - (3x^2 - 4x - 6)\n= -2x^2 + 5x - 1 - 3x^2 + 4x + 6\n= (-2 - 3)x^2 + (5 + 4)x + (-1 + 6)\n= -5x^2 + 9x + 5
852053
a = 5√3\nb = 3√5\n(5√3-3√5)²\n\n(a-b)²\n(a-b)(a-b)\na²-ab-ba+b²\na²-2ab+b²\n\nThat's as far as the variables can break down, so fill it in:\n(5√3)² - 2(5√3*3√5) + (3√5)²\nBecause (xy)² = x² * y², you can break down the leftmost and rightmost sides of the equation. Also separate everything in the middle to get a better view:\n(25*3) - 2(5*√3*3*√5) + (9*5)\nSolve the easy multiplication and combine a little in the middle:\n75 - 2(15*√3*√5) + 45\nAdd the 75 and 45 together.  Also, because √x*√y = √xy, √3*√5 can be turned into √15: \n120 - 2(15*√15)\n120 - 30√15\n3.810499613777493444622038006528
838051
5(x – 2)^2 = 3\n(x – 2)^2 =3/5\nx -2 =+- sqrt(3/5)\nx=2+- sqrt(3/5)
1161280
2√5  \n\nif you have √20 its √4*5\n√4 is 2\nso you have 2√5
555590
Just multiply:\n(X/3)(3/4 x) -(x/3)(3/5) + (3/4)(3/4x) - (3/4)(3/5)\n\nand simplify from there
865479
First of all is the radical in the numerator over just the 10 or over the entire 10y^3?\n\nThe only this you can factor out and cancel is a radical 2 on the top and bottom.  Other than that, you can't really simplify this problem.  Are you sure you wrote it down correctly?
204269
isolate one of the radicals, then square both sides.\nhere you get 2x+3=5x-6.......3x=9.......x=3\n\nworst case is sqrt(something) + something = sqrt(something)\n\nhere you'd isolate a radical, square both sides, clean up the equation, isolate the remaining radical, square both sides, and finish.  AND CHECK YOUR ANSWERS.  when you square both sides, "extraneous" solutions sneak in that might have you, back in the original equation, taking the square root of something negative.\n\nexample:  sqrt(3x+3) + 1 = sqrt(5x+6)\n....... (3x+3)+2*sqrt(3x+3)+1=(5x+6) ..... left side is a binomial\n.........2*sqrt(3x+3) = 2x+2\n...........sqrt(3x+3) = x+1\n...............(3x+3) = x^2+2x+1 ....... right side is a binomial\n....................0 = x^2-x-2 ......... and it factors!\n....................0 = (x-2)(x+1)\n....................0 = (x-2) so x=2\nor .................0 = (x+1) so x=-1\n\nnow check: sqrt(3*2+3)+1 =? sqrt(5*2+6)\n.............sqrt(9) + 1 =? sqrt(16)\n...................3 + 1 = 4.............yes.\n\n..........sqrt(3*-1+3)+1 = sqrt(5*-1+6)\n...............sqrt(0)+1 = sqrt(1)\n.......................1 = 1 ............yes\n\nsigh.  when I wrote it the equal signs lined up.
464962
Did you mean sqrt(75)/(5*sqrt(3)) ?\n\nIf yes, then\nsqrt(75)/(5*sqrt(3)) =\n= (sqrt(25)*sqrt(3))/(5*sqrt(3)) = \n= sqrt(25)/5 = \n= 1