Toán Lớp 9: Thực hiện phép tính
$\sqrt{15- √216}$ + $\sqrt{33-12√6}$
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Toán Lớp 9: Thực hiện phép tính
$\sqrt{15- √216}$ + $\sqrt{33-12√6}$
Comments ( 2 )
=sqrt{15-sqrt{4}.sqrt{54}}+sqrt{33-2.2.3sqrt{6}}
=sqrt{15-2.sqrt{6}.sqrt{9}}+sqrt{(2sqrt{6})^2-2.2sqrt{6}.3+3^2}
=sqrt{(sqrt{9})^2-2.sqrt{9}.sqrt{6}+(sqrt{6})^2}+sqrt{(2sqrt{6}-3)^2}
=sqrt{(sqrt{9}-sqrt{6})^2}+|2sqrt{6}-3|
=|sqrt{9}-sqrt{6}|+|2sqrt{6}-3|
=sqrt{9}-sqrt{6}+2sqrt{6}-3
=sqrt{9}+sqrt{6}-3
=sqrt{6}