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1. √6
2. 15√2
3. 10√7 - 7√5
4. 28√3 + 8√30
5. 6√15
Penjelasan dengan langkah-langkah:
1. √3 x √2 = √(3 x 2) = √6
2. 5√6 x 3 = 5√(6 x 3)
= 5√18
= 5√(9x2)
= 5 x 3√2
= 15√2
3. √20 + √28 - √125 + √63 - √80
= √(4x5) + √(4x7) - √(25x5) + √(9x7) - √(16x5)
= 2√5 + 2√7 - 5√5 + 3√7 - 4√5
= 2√7 + 3√7 + 2√5 - 5√5 - 4√5
= 10√7 - 7√5
4. 2√6(7√2 + 4√5)
= 14√12 + 8√30
= 14√(4x3) + 8√30
= 14 x 2√3 + 8√30
= 28√3 + 8√30
5. √20 x √27 = √(4x5) x √(9x3)
= 2√5 x 3√3
= (2x3) √(5x3)
= 6√15
1. √6
2. 15√2
3. -7√5 + 5√7
4. 28√3 + 8√30
5. 6√15
Pembahasan
–› No. 1
√3 × √2
= √(3 × 2)
= √6
–› No. 2
5√6 × √3
= 5√(6 × 3)
= 5√18
= 5√(9 × 2)
= 5√(3² × 2)
= (5 × 3)√2
= 15√2
–› No. 3
√20 + √28 - √125 + √63 - √80
= √(4 × 5) + √(4 × 7) - √(25 × 5) + √(9 × 7) - √(16 × 5)
= √(2² × 5) + √(2² × 7) - √(5² × 5) + √(3² × 7) - √(4² × 5)
= 2√5 + 2√7 - 5√5 + 3√7 - 4√5
= 2√5 - 5√5 - 4√5 + 2√7 + 3√7
= (2 - 5 - 4)√5 + (2 + 3)√7
= (-3 - 4)√5 + (2 + 3)√7
= -7√5 + 5√7
–› No. 4
2√6 × (7√2 + 4√5)
= (2√6 × 7√2) + (2√6 × 4√5)
= 14√12 + 8√30
= 14√(4 × 3) + 8√30
= 14√(2² × 3) + 8√30
= (14 × 2)√3 + 8√30
= 28√3 + 8√30
–› No. 5
√20 × √27
= √(20 × 27)
= √540
= √(36 × 15)
= √(6² × 15)
= 6√15