3√2
3√2
You can rationalize the denominator by multiplying this fraction by a fractional form of one in radical form. 3/sqrt(2) * sqrt(2)/sqrt(2) = 3sqrt(2)/2 ----------------
12x^2√5x
5 - 2*sqrt(3) is already in simplest radical form, note that if you said 5 - sqrt(12) is definitely simplified to 5 - 2*sqrt(3).
2/3 = sqrt( 4/9 )
D.2√3
The SQRT(18) in radical form is 3*SQRT(2), where SQRT represents the radical symbol.
3√2
3√2
You can rationalize the denominator by multiplying this fraction by a fractional form of one in radical form. 3/sqrt(2) * sqrt(2)/sqrt(2) = 3sqrt(2)/2 ----------------
3√2 is already in it's simplest form, but if you want to express it as a single radical, it would be: 3√2 = √(32)√2 = √(32 * 2) = √(9 * 2) = √18
12x^2√5x
3^3*radical(128) = 3^3*radical(2^7) = 3^3*radical(2^6*2) =3^3*2^3*radical(2) = 216*radical(2).
-3*radical(2)*radical(50) = -3*radical(2*50) = -3*radical(100) = -3*10 = -30
3*SQRT(2)
3*SQRT(2)