Explicación paso a paso:
Simplify under the radicals first:
√9 = 3 (square root of 9 is 3)
√274¹² is a bit more complex. 274 can be factored as 2 * 137. Since the cube root (¹²) applies to the entire number, we can rewrite it as: √274¹² = √(2 * 137)¹² = √2 * √137¹² (square root distributes over multiplication)
Simplify further:
√2 is irrational (cannot be expressed as a simple fraction)
We don't have a perfect square root for 137, so it remains as √137
Combine the terms:
3 + √2 * √137
Therefore, the answer is 3 + √2 * √137.
