根号下九减四倍根号二怎么算

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根号下九减四倍根号二怎么算根号下九减四倍根号二怎么算根号下九减四倍根号二怎么算√(9-4√2)=√(8-2√8+1)=√(√8-1)²=√8-1=2√2-1√(9-4√2)=√(1-4√2+

根号下九减四倍根号二怎么算
根号下九减四倍根号二怎么算

根号下九减四倍根号二怎么算
√(9-4√2)
=√(8-2√8+1)
=√(√8-1)²
=√8-1
=2√2-1

√(9-4√2)
=√(1-4√2+8)
=√(2√2)²-2×1×2√2+1²)
=√(2√2-1)²
=2√2-1

√(9-4√2)=√(1-4√2+﹙2√2﹚²)=√(2√2-1)²=2√2-1