To express the product of 6 and 34 in radical form, we first need to calculate the product:
6 × 34 = 204
Next, we can express 204 in radical form. To do this, we look for perfect squares that can factor into 204:
- The prime factorization of 204 is:
- 204 = 2 × 102
- 102 = 2 × 51
- 51 = 3 × 17
- So, 204 = 2^2 × 3 × 17
Since we have one pair of 2s, we can factor that out under the radical:
Thus, we can express 204 as:
√(204) = √(2^2 × 3 × 17) = 2 √(51)
Therefore, the radical form of 6 × 34 is:
√(204) = 2 √(51)