Toán Lớp 9: 1 rút gọn
A= $\sqrt{3-2\sqrt{2}}$ – $\sqrt{6-4\sqrt{2}}$
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Toán Lớp 9: 1 rút gọn
A= $\sqrt{3-2\sqrt{2}}$ – $\sqrt{6-4\sqrt{2}}$
Comments ( 2 )
A=sqrt{(sqrt{2})^2-2.sqrt{2}.1+1^2}-sqrt{6-2.2sqrt{2}}
A=sqrt{(sqrt{2}-1)^2}-sqrt{2^2-2.2.sqrt{2}+(sqrt{2})^2}
A=sqrt{(sqrt{2}-1)^2}-sqrt{(2-sqrt{2})^2}
A=|sqrt{2}-1|-|2-sqrt{2}|
A=sqrt{2}-1-2+sqrt{2}
A=2sqrt{2}-3
Giải thích:
|sqrt{2}-1|=sqrt{2}-1 vì sqrt{2}>sqrt{1}=1
|2-sqrt{2}|=2-sqrt{2} vì sqrt{4}(=2)>sqrt{2}