Operasi Pada Bentuk Akar
a√c ± b√c = (a ± b)√c
misal c = a × b, maka √c = √(a×b) = √a√b
√20 - √24 + √80 - √96
= √(4×5) - √(4×6) + √(16×5) - √(16×6)
= √4√5 - √4√6 + √16√5 - √16√6
= 2√5 - 2√6 + 4√5 - 4√6
= 2√5 + 4√5 - 2√6 - 4√6
= 6√5 - 6√6
= 6(√5 - √6)
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Operasi Pada Bentuk Akar
a√c ± b√c = (a ± b)√c
misal c = a × b, maka √c = √(a×b) = √a√b
√20 - √24 + √80 - √96
= √(4×5) - √(4×6) + √(16×5) - √(16×6)
= √4√5 - √4√6 + √16√5 - √16√6
= 2√5 - 2√6 + 4√5 - 4√6
= 2√5 + 4√5 - 2√6 - 4√6
= 6√5 - 6√6
= 6(√5 - √6)
Semoga membantu.