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√1,8 = √(18/10) = √(9/5) = √(3^2 × 5^-1) = 3 × 5^-1/2 = 3 × 5^-1 × 5^1/2 = 3 × 1/5 × √5 = 3/5 √5
√20 = √(4 × 5) = √(2^2 × 5) = 2 √5
1/2 √180 = 1/2 √(4 × 9 × 5) = 1/2 √(2^2 × 3^2 × 5) = 1/2 × 2 × 3 √5 = 3 √5
2 √1/20 = 2 √[1/(4 × 5)] = 2 √[(5^-1)/(2^2)] = 2 × 1/2 × 5^-1/2 = 5^-1 × 5^1/2 = 1/5 √5
√1/5 + √1,8 + √20 - 1/2 √180 + 2 √1/20
= 1/5 √5 + 3/5 √5 + 2 √5 - 3 √5 + 1/5 √5
= 5/5 √5 - 1 √5
= 1 √5 - 1 √5
= 0
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