2√2+34√4 ×3

To solve the expression \( 2\sqrt{2} + 34\sqrt{4} \times 3 \), we can follow order of operations:

1. Calculate the square root values:

   • \( \sqrt{4} = 2 \)

2. Substitute that into the expression: \[ 2\sqrt{2} + 34 \times 2 \times 3 \]

3. Calculate \( 34 \times 2 \times 3 \):

   • First, \( 34 \times 2 = 68 \)
   • Then, \( 68 \times 3 = 204 \)

4. Now substitute back: \[ 2\sqrt{2} + 204 \]

The final expression is: \[ 2\sqrt{2} + 204 \] This is the simplified form of the original expression. If you need a numerical approximation, you can further calculate \( \sqrt{2} \) (approximately \( 1.414 \)): \[ 2\sqrt{2} \approx 2 \times 1.414 \approx 2.828 \] So, approximately: \[ 2.828 + 204 \approx 206.828 \]