Các câu hỏi tương tự
Thực hiện phép tính:
a. \(\sqrt{4\left(11+6\sqrt{2}\right)}-\sqrt{9\left(11-6\sqrt{2}\right)}\)
b.\(\sqrt{600+200\sqrt{5}}+\sqrt{54-18\sqrt{5}}\)
1.left(sqrt{5}-sqrt{6}right)^2 6.left(2sqrt{5}-sqrt{7}right)left(2sqrt{5}+sqrt{7}right) 2.left(sqrt{3}-sqrt{5}right)^2 7.left(5sqrt{2}+2sqrt{3}right)left(2sqrt{3}-5sqrt{2}right)3.left(2sqrt{2}+sqrt{3}right)^2 8.sqrt{left(5+2sqrt{6}right)^2}-sqrt{left(5-2sqrt{6}right)^2}4.left(sqrt{4}-sqrt{17}right)^...
Đọc tiếp
\(1.\left(\sqrt{5}-\sqrt{6}\right)^2\) \(6.\left(2\sqrt{5}-\sqrt{7}\right)\left(2\sqrt{5}+\sqrt{7}\right)\)
\(2.\left(\sqrt{3}-\sqrt{5}\right)^2\) \(7.\left(5\sqrt{2}+2\sqrt{3}\right)\left(2\sqrt{3}-5\sqrt{2}\right)\)
\(3.\left(2\sqrt{2}+\sqrt{3}\right)^2\) \(8.\sqrt{\left(5+2\sqrt{6}\right)^2}-\sqrt{\left(5-2\sqrt{6}\right)^2}\)
\(4.\left(\sqrt{4}-\sqrt{17}\right)^2\) \(9.\sqrt{\left(\sqrt{7}-2\right)^2}+\sqrt{\left(\sqrt{7}+2\right)^2}\)
\(5.\sqrt{\left(\sqrt{5}-3\right)^2}\) \(10.\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}+\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)
.Làm ngắn các câu sau
a)\(\left(5+2\sqrt{6}\right)\left(49-20\sqrt{6}\right)\sqrt{5-2\sqrt{6}}\)
b) \(\frac{\sqrt{3-\sqrt{5}}.\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)
Tính
\(\left(\sqrt{2}+1\right)\left(\sqrt{3}+1\right)\left(\sqrt{6}+1\right)\left(5-2\sqrt{2}-\sqrt{3}\right)\)
rút gọn biểu thức \(A=\frac{\sqrt{20}+2}{\sqrt{3}-1}-\frac{\sqrt{112}+4}{\sqrt{5}+1}+\sqrt{5}\left(\sqrt{7}-\sqrt{3}\right)\)
sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}+sqrt{2}sqrt{frac{2left(4-sqrt{7}right)}{2}}-sqrt{frac{2left(4+sqrt{7}right)}{2}}+sqrt{2}sqrt{frac{8-2sqrt{7}}{2}}-sqrt{frac{8+2sqrt{7}}{2}}+sqrt{2}sqrt{frac{left(sqrt{7}-1right)^2}{2}}-sqrt{frac{left(sqrt{7}+1right)^2}{2}}+sqrt{2}frac{sqrt{7}-1}{sqrt{2}}-frac{sqrt{7}+1}{sqrt{2}}+sqrt{2}frac{-2}{sqrt{2}}+sqrt{2}-sqrt{2}+sqrt{2}0
Đọc tiếp
\(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{2}=\sqrt{\frac{2\left(4-\sqrt{7}\right)}{2}}-\sqrt{\frac{2\left(4+\sqrt{7}\right)}{2}}+\sqrt{2}\)
=\(\sqrt{\frac{8-2\sqrt{7}}{2}}-\sqrt{\frac{8+2\sqrt{7}}{2}}+\sqrt{2}\)
=\(\sqrt{\frac{\left(\sqrt{7}-1\right)^2}{2}}-\sqrt{\frac{\left(\sqrt{7}+1\right)^2}{2}}+\sqrt{2}\)
=\(\frac{\sqrt{7}-1}{\sqrt{2}}-\frac{\sqrt{7}+1}{\sqrt{2}}+\sqrt{2}\)
=\(\frac{-2}{\sqrt{2}}+\sqrt{2}\)
=\(-\sqrt{2}+\sqrt{2}\)
=0
Chứng minh đẳng thức
\(\left(3+\sqrt{5\:}\right)\left(\sqrt{10\:\:\:\:\:\:}-\sqrt{2}\right)\sqrt{3-\sqrt{5}}=8\)
a/\(\frac{5-2\sqrt{5}}{\sqrt{5}}+\frac{20}{5+\sqrt{5}}\)
b/\(\frac{3+2\sqrt{3}}{\sqrt{3}}+\frac{2+\sqrt{2}}{\sqrt{2}}-\left(\sqrt{3}+\sqrt{2}\right)\)
Bài 1. Rút gọna. 2sqrt{8}-3sqrt{18}+sqrt{32}b. sqrt{left(1-sqrt{2}right)^2}+sqrt{left(1+sqrt{2}right)^2}c. sqrt{left(2-sqrt{3}right)^2}+sqrt{4-2sqrt{3}}d. sqrt{2-sqrt{3}+sqrt{2+sqrt{3}}}Bài 2. Giải phương trìnha. xsqrt{8}-6sqrt{2}0b. sqrt{2x+1}-30c. sqrt{x^2-4x+4}-30d. sqrt{x-1}+sqrt{4x-4}-sqrt{25x-25+2}0
Đọc tiếp
Bài 1. Rút gọn
a. \(2\sqrt{8}-3\sqrt{18}+\sqrt{32}\)
b. \(\sqrt{\left(1-\sqrt{2}\right)^2}+\sqrt{\left(1+\sqrt{2}\right)^2}\)
c. \(\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{4-2\sqrt{3}}\)
d. \(\sqrt{2-\sqrt{3}+\sqrt{2+\sqrt{3}}}\)
Bài 2. Giải phương trình
a. \(x\sqrt{8}-6\sqrt{2}=0\)
b. \(\sqrt{2x+1}-3=0\)
c. \(\sqrt{x^2-4x+4}-3=0\)
d. \(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25+2}=0\)