To express the product of 6 and 34 in radical form, we start by calculating the product:
6 x 34 = 204.
Next, we need to express 204 in radical form. One way to do this is by factoring 204 into its prime factors:
204 = 2 x 102 = 2 x 2 x 51 = 2^2 x 3 x 17.
Now, we look for perfect squares in the factorization. Since we have 2^2, we can take the square root of that out of the radical:
√204 = √(2^2 x 51) = 2√51.
So, the radical form representation of 6 x 34 is 2√51.