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: \[ 2.828 + 204 \approx 206.828 \]