Toán Lớp 9: (\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{8}+\sqrt{6}+\sqrt{16})/(\sqrt{2}+\sqrt{3}+\sqrt{4}
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Toán Lớp 9: (\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{8}+\sqrt{6}+\sqrt{16})/(\sqrt{2}+\sqrt{3}+\sqrt{4}
Rút gọn
Comments ( 1 )
= ( √ 2 + √3 + √6 + √8 + 4 ) / ( √2 + √3 + √4 )
= ( √2 + √3 + √6 + √8 + √4 + √4 ) / ( √2 + √3 +√4 )
= (( √2 + √ 3 + √ 4 )(√ 6 + √ 8 +√ 4 )) / ( √ 2+ √ 3 +√ 4 )
= (( √ 2 + 3√ + √ 4)( √ 2.√ 3 + √ 2.√ 4 +√ 2.√ 2 )) / ( √ 2+ √ 3 +√ 4 )
= ((√ 2 + √ 3 +√ 4 )+ (√ 2+ √ 3 +√ 4 ).√ 2 ) / (√ 2 + √ 3 +√ 4 )
= ( 1+√ 2 )( √ 2 +√ 3 +√ 4 ) / ( √ 2+ √ 3 +√ 4 )
= 1 + √ 2