Bagian A
√12 + √27 + √75
= √(4 × 3) + √(9 × 3) + √(25 × 3)
= √4 √3 + √9 √3 + √25 √3
= 2√3 + 3√3 + 5√3
= 10√3
–·––·––·––·––·––·––·–
Bagian B
√125 + √28 – √80 + √700
= √(25×5) + √(4×7) - √(16×5) + √(100×7)
= √25√5 + √4√7 - √16√5 + √100√7
= 5√5 + 2√7 - 4√5 + 10√7
= √5 + 12√7
Bagian C
3√6 (√18 - √54)
= 3√6 (√(9 × 2) - √(9 × 6))
= 3√6 (√9√2 - √9√6)
= 3√6 (3√2 - 3√6)
= 9√12 - 9.6
= 9√(4 × 3) - 54
= 9.2√3 - 54
= 18√3 - 54
Bagian D
(√6 + √5)(√6 – √5)
= √36 – √25
= 6 – 5
= 1
Bagian E
(3√5 - 2√3)(2√4 + √6)
= (3√5 - 2√3)(2.2 + √6)
= (3√5 - 2√3)(4 + √6)
= 12√5 - 8√3 + 3√30 - 2√18
= 12√5 + 3√30 - 8√3 - 2√9√2
= 12√5 + 3√30 - 8√3 - 2.3√2
= 12√5 + 3√30 - 8√3 - 6√2
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Bagian A
√12 + √27 + √75
= √(4 × 3) + √(9 × 3) + √(25 × 3)
= √4 √3 + √9 √3 + √25 √3
= 2√3 + 3√3 + 5√3
= 10√3
–·––·––·––·––·––·––·–
Bagian B
√125 + √28 – √80 + √700
= √(25×5) + √(4×7) - √(16×5) + √(100×7)
= √25√5 + √4√7 - √16√5 + √100√7
= 5√5 + 2√7 - 4√5 + 10√7
= √5 + 12√7
–·––·––·––·––·––·––·–
Bagian C
3√6 (√18 - √54)
= 3√6 (√(9 × 2) - √(9 × 6))
= 3√6 (√9√2 - √9√6)
= 3√6 (3√2 - 3√6)
= 9√12 - 9.6
= 9√(4 × 3) - 54
= 9.2√3 - 54
= 18√3 - 54
–·––·––·––·––·––·––·–
Bagian D
(√6 + √5)(√6 – √5)
= √36 – √25
= 6 – 5
= 1
–·––·––·––·––·––·––·–
Bagian E
(3√5 - 2√3)(2√4 + √6)
= (3√5 - 2√3)(2.2 + √6)
= (3√5 - 2√3)(4 + √6)
= 12√5 - 8√3 + 3√30 - 2√18
= 12√5 + 3√30 - 8√3 - 2√9√2
= 12√5 + 3√30 - 8√3 - 2.3√2
= 12√5 + 3√30 - 8√3 - 6√2