i,\(\sqrt{12,1.360}\)
k,\(\sqrt{0,4}.\sqrt{6,4}\)
l,-0,4\(\sqrt{\left(-0,4\right)^2}\)
m,\(\sqrt{2^4.\left(-7\right)^2}\)
Tính:
a) \(\sqrt{\left(0,1\right)^2}\)
b) \(\sqrt{\left(-0,3\right)^2}\)
c) \(-\sqrt{\left(-1,3\right)^2}\)
d) \(-0,4\sqrt{\left(-0,4\right)^2}\)
f)\(\sqrt{\left(\sqrt{2}-\sqrt{3}\right)^2}\)- \(\dfrac{\sqrt{6}-3}{\sqrt{2}-\sqrt{3}}\)
g)\(\left(\sqrt{8}-3\sqrt{2}+\sqrt{10}\right).\left(\sqrt{2}-3\sqrt{0,4}\right)\)
giải chi tiết cụ thể giúp mk với ạ
1 nhân chia căn bậc hai
a/\(\left(\dfrac{4}{3}\sqrt{3}+\sqrt{2}+\sqrt{3\dfrac{1}{3}}\right)\left(\sqrt{1,2}+\sqrt{2}-4\sqrt{0,2}\right)\)
b/ \(\left(\dfrac{3x}{2}\sqrt{\dfrac{x}{2y}}-0,4\sqrt{\dfrac{2}{xy}}+\dfrac{1}{3}\sqrt{\dfrac{xy}{2}}\right):\dfrac{4}{15}\sqrt{\dfrac{2x}{3y}}\)
2 Cộng trừ căn bậc hai
a/ \(0,1\sqrt{200}-2\sqrt{0,08}+4\sqrt{0,5}+0,4\sqrt{50}\)
b/ \(\dfrac{2}{3}x\sqrt{9x}+6x\sqrt{\dfrac{x}{4}-x^2}\sqrt{\dfrac{1}{x}}\)
giải hệ phương trình (theo 4 cách):
a/ \(\left\{{}\begin{matrix}\sqrt{5}x-y=\sqrt{5}\left(\sqrt{3}-1\right)\\2\sqrt{3}x+3\sqrt{5}y=21\end{matrix}\right.\)
b/ \(\left\{{}\begin{matrix}1,7x-2y=3,8\\2,1x+5y=0,4\end{matrix}\right.\)
* Tính
a. \(\dfrac{-4}{3}.\sqrt{\left(-0,4\right)^2}\)
b. \(\sqrt[3]{\dfrac{3}{4}}.\sqrt[3]{\dfrac{9}{16}}\)
c. \(\dfrac{1}{3+\sqrt{2}}+\dfrac{1}{3-\sqrt{2}}\)
Tính:
\(a,\sqrt{0,1^2}\)
\(b,\sqrt{\left(-0,4\right)^2}\)
\(c,-\sqrt{\left(-1,7\right)^2}\)
\(d,-0,5\sqrt{\left(-0,5\right)^4}\)
\(e,\sqrt{\left(1-\sqrt{2}\right)^2}\)
\(g,\sqrt{\left(\sqrt{3}-1\right)^2}\)
Rút gọn các biểu thức sau:
a) \(\left(\sqrt{8}-3\sqrt{2}+\sqrt{10}\right)\left(\sqrt{2}-3\sqrt{0,4}\right)\) b) \(\left(\sqrt{28}-2\sqrt{14}+\sqrt{7}\right).\sqrt{7}+7\sqrt{8}\)
c) \(2\sqrt{\left(\sqrt{2}-3\right)^2}+\sqrt{2\left(-3\right)^2}-5\sqrt{\left(-1\right)^4}\) d) \(\left(\frac{\sqrt{14}-\sqrt{7}}{1-\sqrt{2}}+\frac{\sqrt{15}-\sqrt{5}}{1-\sqrt{3}}\right):\frac{1}{\sqrt{7}-\sqrt{5}}\)
Tính giá trị biểu thức:
a) \(\left(\sqrt{8}-3\sqrt{2}+\sqrt{10}\right).\left(\sqrt{2}-3\sqrt{0,4}\right)\)
b) \(\frac{\sqrt{3+\sqrt{5}}}{\sqrt{2}}-\frac{\sqrt{5}-1}{2}\)
c)\(\sqrt{150}+\sqrt{1,6}.\sqrt{60}+4,5.\sqrt{2\frac{2}{3}}-\sqrt{6}\)