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3倍根号40分之根号2化简

三倍根号40分之根号二

√2/3√40=√80/120=√20/60=2√5/60=√5/30 够详细了!

√2/3√40=√80/120=√20/60=2√5/60=√5/30

根号2/(3根号40) =根号2/(6根号10)=1/(6根号5)=(根号5)/30

原式写成:√2/(3√40)=√2/(3√(2*2*2*5))=√2/(3*2*√2*√5)=1/(6√5)=√5/(6√5*√5)=√5/30或原式写成:3*√2/(√40)=3*√2/(√(2*2*2*5))=3*√2/(2*√2*√5)=3/(2√5)=3√5/(2√5*√5)=3√5/10由于我不知道你是求 3倍 根号40分之根号2 还是 3倍根号40 分之 根号2,所以把两种都写了

√2/(3√40)=√2/(6√10)=1/(6√5)=√5/30

有原题吗,请补充题意不明

3√40/√2=3√(40/2)=3√20=3√4*5=6√5

√2/3√40=√2/6√10=√20/60=√5/30

3根号40分之根号2=√2/(3√40)=√80/120=√5/30

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