2√5 - 3√2 + 1

The expression \( 2\sqrt{5} - 3\sqrt{2} + 1 \) is already in its simplest form because it consists of different terms that cannot be combined further since they involve different square roots. If you need a numerical approximation of the expression, you can evaluate it as follows: 1. Calculate \( \sqrt{5} \) and \( \sqrt{2} \): - \( \sqrt{5} \approx 2.236 \) - \( \sqrt{2} \approx 1.414 \) 2. Substitute these values into the expression: \[ 2(2.236) - 3(1.414) + 1 \] 3. Calculate each term: - \( 2(2.236) \approx 4.472 \) - \( 3(1.414) \approx 4.242 \) 4. Combine the results: \[ 4.472 - 4.242 + 1 \approx 4.472 - 4.242 \approx 0.230 + 1 \approx 1.230 \] So, numerically, \( 2\sqrt{5} - 3\sqrt{2} + 1 \approx 1.230 \). Let me know if you need any further assistance!