sqrt(200) = sqrt(100*2) = sqrt(100)*sqrt(2) = 10*sqrt(2)
Because the radical cancels out the "x".
200 = 2*100. Square root of 100 is 10. So, reduced form is 10 times the square root of 2.
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.
2 times radical 5 or about 4.472135955
-3*radical(2)*radical(50) = -3*radical(2*50) = -3*radical(100) = -3*10 = -30
sqrt(200) = sqrt(100*2) = sqrt(100)*sqrt(2) = 10*sqrt(2)
2 radical 2
sqrt(200) = sqrt(100 x 2) = sqrt(100) x sqrt(2) = 10 sqrt(2)
It is sqrt[100*sqrt(2)] = 10*fourth root of 2.
2
6 radical 2
12 radical 2 you multiply 6 and 2 :)
2 radical(8) = 4 radical(2)
Because the radical cancels out the "x".
3^3*radical(128) = 3^3*radical(2^7) = 3^3*radical(2^6*2) =3^3*2^3*radical(2) = 216*radical(2).
200 = 2*100. Square root of 100 is 10. So, reduced form is 10 times the square root of 2.