A. -0,8 ×0,125=-0,1
b. 2^3+3^2=8+9=17
c.=1
d.=-2
A. -0,8 ×0,125=-0,1
b. 2^3+3^2=8+9=17
c.=1
d.=-2
Rút gọn:
\(A=\left(\frac{4x\sqrt{x}+3x+9}{x+5\sqrt{x}+6}-\frac{3-\sqrt{x}}{2+\sqrt{x}}\right)\div\left(\frac{\sqrt{x}}{3+\sqrt{x}}-\frac{3+4\sqrt{x}}{x+5\sqrt{x}+6}\right)\)
\(B=\left(x-\sqrt{x}-2\right)\left(\dfrac{3}{\sqrt{x}-2}-\dfrac{4-\sqrt{x}}{x-2\sqrt{x}}\right)\)
\(1.\left(\sqrt{5}-\sqrt{6}\right)^2\) \(6.\left(2\sqrt{5}-\sqrt{7}\right)\left(2\sqrt{5}+\sqrt{7}\right)\)
\(2.\left(\sqrt{3}-\sqrt{5}\right)^2\) \(7.\left(5\sqrt{2}+2\sqrt{3}\right)\left(2\sqrt{3}-5\sqrt{2}\right)\)
\(3.\left(2\sqrt{2}+\sqrt{3}\right)^2\) \(8.\sqrt{\left(5+2\sqrt{6}\right)^2}-\sqrt{\left(5-2\sqrt{6}\right)^2}\)
\(4.\left(\sqrt{4}-\sqrt{17}\right)^2\) \(9.\sqrt{\left(\sqrt{7}-2\right)^2}+\sqrt{\left(\sqrt{7}+2\right)^2}\)
\(5.\sqrt{\left(\sqrt{5}-3\right)^2}\) \(10.\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}+\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)
Thực hiện phép tính:
a. \(\sqrt{4\left(11+6\sqrt{2}\right)}-\sqrt{9\left(11-6\sqrt{2}\right)}\)
b.\(\sqrt{600+200\sqrt{5}}+\sqrt{54-18\sqrt{5}}\)
Tìm ĐKXĐ:
a) \(\dfrac{3}{\sqrt{12x-1}}\)
b) \(\sqrt{\left(3x+2\right)\left(x-1\right)}\)
c) \(\sqrt{3x-2}\) .\(\sqrt{x-1}\)
d) \(\sqrt{\dfrac{-2\sqrt{6}+\sqrt{23}}{-x+5}}\)
.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 GTBT chứa căn:
a,\(\left(\sqrt{14}-3\sqrt{2}\right)^2\)+\(6\sqrt{28}\)
b,\(\left(\sqrt{6}-\sqrt{5}\right)^2\)-\(2\sqrt{120}\)
c,\(\left(2\sqrt{3}-3\sqrt{2}\right)^2+2\sqrt{6}+3\sqrt{24}\)
1.Rút gọn:
a) \(A=\sqrt{2+\sqrt{3}.}\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2-\sqrt{2+\sqrt{3}}}\)
b) \(B=\left(\frac{\sqrt{x}}{\sqrt{xy}-y}-\frac{\sqrt{y}}{\sqrt{xy}-x}\right).\left(x\sqrt{y}-y\sqrt{x}\right)\)
c) \(C=\sqrt{\left(3-\sqrt{5}\right)^2+\sqrt{6}-2\sqrt{5}}\)
1/ Tính: \(\sqrt[3]{54}-\sqrt[3]{16}\)
2/ so sánh các cặp số sau
a) \(3\sqrt{2}\) và \(2\sqrt{3}\)
b) 4.\(\sqrt[3]{5}\) và 5.\(\sqrt[3]{4}\)
3/ cho biểu thức A= \(_{\left(1-\dfrac{x-\sqrt{x}}{\sqrt{x}-1}\right)}\)\(\left(1+\dfrac{x+\sqrt{x}}{\sqrt{x}+1}\right)\)
a) tìm điều kiện x để A có nghĩa
b) Rút gọn A
\(\frac{\sqrt{a^3+2a^2b}+\sqrt{a^4+2a^3b}-\sqrt{a^3}-a^2b}{\sqrt{\left(2a+b-\sqrt{a^2+2ab}\right)}.\left(\sqrt[3]{a^2}-\sqrt[6]{a^5}+a\right)}\)