Question

√(2-3√20)^2+√(3-3√20)^2

Answer 1

|2-3√20|+|3-3√20|=3√20-2+3√20-3=6√20-5=6*2√5-5=12√5-5

Answer 2

Let's simplify the expression step by step:

1. Start with the expression: √(2 - 3√20)^2 + √(3 - 3√20)^2

2. First, square the expressions inside the square roots: (2 - 3√20)^2 = 4 - 12√20 + 180 (expanding the square) (3 - 3√20)^2 = 9 - 18√20 + 180 (expanding the square)

3. Now, add these two squared expressions together: (4 - 12√20 + 180) + (9 - 18√20 + 180)

4. Combine like terms: (4 + 9) + (-12√20 - 18√20) + (180 + 180)

5. Simplify further: 13 - 30√20 + 360

So, the simplified expression is: 13 - 30√20 + 360