Tínha, sqrt{75}-sqrt{5frac{1}{3}}+frac{9}{2}sqrt{2frac{2}{3}}+2sqrt{27}b, sqrt{48}+sqrt{5frac{1}{3}}+2sqrt{75}-5sqrt{1frac{1}{3}}c, left(sqrt{15}+2sqrt{3}right)^2+12sqrt{5}d, left(sqrt{6}+2right)left(sqrt{3}-sqrt{2}right)e, left(sqrt{3}+1right)^2-2sqrt{3}+4f, frac{1}{7+4sqrt{3}}+frac{1}{7-4sqrt{3}}Chứng minha, 2sqrt{2}left(sqrt{3}-2right)+left(1+2sqrt{2}right)^2-2sqrt{6}9b, sqrt{sqrt{2}+1}-sqrt{sqrt{2}-1}sqrt{2left(sqrt{2}-1right)}Tìm GTNNa, Ax-sqrt{x}b, Bsqrt{x^2-2x+4}+1
Đọc tiếp
Tính
a, \(\sqrt{75}-\sqrt{5\frac{1}{3}}+\frac{9}{2}\sqrt{2\frac{2}{3}}+2\sqrt{27}\)
b, \(\sqrt{48}+\sqrt{5\frac{1}{3}}+2\sqrt{75}-5\sqrt{1\frac{1}{3}}\)
c, \(\left(\sqrt{15}+2\sqrt{3}\right)^2+12\sqrt{5}\)
d, \(\left(\sqrt{6}+2\right)\left(\sqrt{3}-\sqrt{2}\right)\)
e, \(\left(\sqrt{3}+1\right)^2-2\sqrt{3}+4\)
f, \(\frac{1}{7+4\sqrt{3}}+\frac{1}{7-4\sqrt{3}}\)
Chứng minh
a, \(2\sqrt{2}\left(\sqrt{3}-2\right)+\left(1+2\sqrt{2}\right)^2-2\sqrt{6}=9\)
b, \(\sqrt{\sqrt{2}+1}-\sqrt{\sqrt{2}-1}=\sqrt{2\left(\sqrt{2}-1\right)}\)
Tìm GTNN
a, \(A=x-\sqrt{x}\)
b, \(B=\sqrt{x^2-2x+4}+1\)