Toán Lớp 9: rút gọn biểu thức:A=căn(10+5 căn 3)- căn(10-5 căn 3)
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Toán Lớp 9: rút gọn biểu thức:A=căn(10+5 căn 3)- căn(10-5 căn 3)
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$A=\sqrt{5(2+\sqrt{3})}-\sqrt{5(2-\sqrt{3})}$
$A=\sqrt{5.\dfrac{4+2\sqrt{3}}{2}}-\sqrt{5.\dfrac{4-2\sqrt{3}}{2}}$
$A=\dfrac{\sqrt{15}+\sqrt{5}-\sqrt{15}+\sqrt{5}}{\sqrt{2}}$
$A=\dfrac{2\sqrt{5}}{\sqrt{2}}$
$A=\sqrt{10}$