There is the Index, the coefficient and the Radican
6 radical 2
2 radical 11 the square root of 44. 44/2 = 22 radical 2 x 22 radical 2 x 2 x 11 Since 2 is under the radical twice you can take it out 2 radical 11
2X 2 is the coefficient
(a-2(ab)1/2+b)/(a-b)
radical with a coefficient of 1 or -1
-The radical is the symbol that represents a square root. -The radicand is the number underneath the radical symbol. -The coefficient is the number out in front of the radical. (We assume that the coefficient multiplies the radical, the same way it would multiply with a variable.)
There is the Index, the coefficient and the Radican
2
-3*radical(2)*radical(50) = -3*radical(2*50) = -3*radical(100) = -3*10 = -30
6 radical 2
2 radical(8) = 4 radical(2)
3^3*radical(128) = 3^3*radical(2^7) = 3^3*radical(2^6*2) =3^3*2^3*radical(2) = 216*radical(2).
Providing the radical has then just add/subtract. e.g. 4sqrt(3) + (/-)7sqrt(3) . The radical has tha same coefficient of 'sqrt(3)' Hence it becomes 11sqrt(3) ( or - 3sqrt(3)) However, if the radicals are different then 4sqrt(3) + 7sqrt(2) . cannot be taken any further.
2 radical 11 the square root of 44. 44/2 = 22 radical 2 x 22 radical 2 x 2 x 11 Since 2 is under the radical twice you can take it out 2 radical 11
2X 2 is the coefficient
Here is an example, radical 20 plus radical 5. Now radical 20 is 2(radical 5) so we can add radical 5 and 2 radical 5 and we have 3 radical 5.