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Ta có: 2\(\sqrt{ }\)a^2 -a =2a-a=a( vì \(\sqrt{ }\)a^2 =|a|=a)
Chúc bn hk tốtt!!
\(A=\frac{\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)}{x+\sqrt{3}}=x-\sqrt{3}\)
\(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\)
\(=\frac{\sqrt{2}.\sqrt{2-\sqrt{3}}}{\sqrt{2}}+\frac{\sqrt{2}.\sqrt{2+\sqrt{3}}}{\sqrt{2}}\)
\(=\frac{\sqrt{2.\left(2-\sqrt{3}\right)}}{\sqrt{2}}+\frac{\sqrt{2.\left(2+\sqrt{3}\right)}}{\sqrt{2}}\)
\(=\frac{\sqrt{4-2\sqrt{3}}}{\sqrt{2}}+\frac{\sqrt{4+2\sqrt{3}}}{\sqrt{3}}\)
\(=\frac{\sqrt{3-2\sqrt{3}+1}}{\sqrt{2}}+\frac{\sqrt{3+2\sqrt{3}+1}}{\sqrt{2}}\)
\(=\frac{\sqrt{\left(\sqrt{3}-1\right)^2}}{\sqrt{2}}+\frac{\sqrt{\left(\sqrt{3}+1\right)^2}}{\sqrt{2}}\)
\(=\frac{\left|\sqrt{3}-1\right|}{\sqrt{2}}+\frac{\left|\sqrt{3}+1\right|}{\sqrt{2}}\)
\(=\frac{\sqrt{3}-1}{\sqrt{2}}+\frac{\sqrt{3}+1}{\sqrt{2}}\)
\(=\frac{\sqrt{3}-1+\sqrt{3}+1}{\sqrt{2}}\)
\(=\frac{2\sqrt{3}}{\sqrt{2}}\)
\(=\frac{2\sqrt{3}.\sqrt{2}}{\left(\sqrt{2}\right)^2}\)
\(=\frac{2\sqrt{6}}{2}\)
\(=\sqrt{6}\)
Chúc bạn hok tốt!!! The Godlin
\(A=\sqrt{14-6\sqrt{5}}+\sqrt{5}=\sqrt{14-2\sqrt{45}}+\sqrt{5}=\sqrt{9-2\sqrt{9}\sqrt{5}+5}+\sqrt{5}=\sqrt{\left(3-\sqrt{5}\right)^2}+\sqrt{5}=3-\sqrt{5}+\sqrt{5}=3\)
\(B=\sqrt{24}-5\sqrt{6}+\sqrt{216}=2\sqrt{6}-5\sqrt{6}+6\sqrt{6}=3\sqrt{6}\)