Question

√ 32-2 √ 12 - √ 75 +3 √72

Answer 1

√32 - 2√12 - √75 + 3√72

32 = 2.16 --> √32 = √(2.16) = 4√2
12 = 3.4 --> √12 = √(3.4)= 2√3 --> 2√12 = 4√3
75 = 3.25 --> √75 = √(3.25) = 5√3
72 = 2.36 --> √72 = √(2.36) = 6√2 --> 3√72 = 18√2

√32 - 2√12 - √75 + 3√72 = 4√2 - 4√3 - 5√3 + 18√2 = 22√2 - 9√3

Answer 2

32|2
16|2   √2².2².2-2.√2².3-√3.5²+3.√2².2.3²
 8|2      4√2-4√3-5√3+3.6√2
4|2       4√2-4√3-5√3+18√2
2|2       4√2+18√2-4√3-5√3
1           22√2-9√3
12|2
6|2
3|3
1
75|3
25|5
5|5
1
72|2
36|2
18|2
9|3
3|3
1