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\(\sqrt{\frac{81}{9}}\)+ \(\sqrt{\frac{64}{4}}\)
=\(\sqrt{9}\)+ \(\sqrt{16}\)
= 3+4
=7
k nhé
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a) \(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\)
\(=\frac{\sqrt{2}.\left(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\right)}{\sqrt{2}}\)
\(=\frac{\sqrt{4-2\sqrt{3}}+\sqrt{4+2\sqrt{3}}}{\sqrt{2}}\)
\(=\frac{\sqrt{\left(\sqrt{3}-1\right)^2}+\sqrt{\left(\sqrt{3}+1\right)^2}}{\sqrt{2}}\)
\(=\frac{\left|\sqrt{3}-1\right|+\left|\sqrt{3}+1\right|}{\sqrt{2}}=\frac{\sqrt{3}-1+\sqrt{3}+1}{\sqrt{2}}=\frac{2\sqrt{3}}{\sqrt{2}}=\sqrt{6}\)
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\(\sqrt{25=5}\) \(\sqrt{64=8}\) \(\sqrt{2025=45}\) \(\sqrt{81=9}\) \(\sqrt{4=2}\) \(\sqrt{9025=95}\)
\(\sqrt{25}=5\) \(\sqrt{64}=8\) \(\sqrt{2025}=45\)
\(\sqrt{81}=9\) \(\sqrt{4}=2\) \(\sqrt{9025}=95\)
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a/ \(A=\sqrt{6-2\sqrt{5}}-\sqrt{5}\)\(=\sqrt{\left(\sqrt{5}\right)^2-2\sqrt{5}+1^2}-\sqrt{5}\)\(=\sqrt{\left(\sqrt{5}-1\right)^2}-\sqrt{5}\)\(=\sqrt{5}-1-\sqrt{5}\)\(=-1.\)
Bạn kiểm tra lại câu b với c đi, hình như sai đề rồi.
\(^3\sqrt{64}=^3\sqrt{4^3}=4\)
\(^3\sqrt{64}=^3\sqrt{8}=3.8=24\)
Vậy \(^3\sqrt{64}=24\)