\(\left(\sqrt{7}-\sqrt{3}\right)^2+\sqrt{84}=7-2\sqrt{21}+3+2\sqrt{21}=10\)
`= 7 + 3 - 2 sqrt 21 + 2 sqrt 21`
`= 10`
a) \(\left(\sqrt{28}-2\sqrt{3}+\sqrt{7}\right)\sqrt{7}+\sqrt{84}\)
b) \(\dfrac{\sqrt{4-2\sqrt{3}}}{\sqrt{6}-\sqrt{2}}\)
\(\left(\sqrt{7}-\sqrt{3}\right)^2+\sqrt{84}\)
Rút gọn các biểu thức sau :
a) \(\sqrt{18\left(\sqrt{2}-\sqrt{3}\right)^2}\) - \(\sqrt{54}\)
b) \(\dfrac{a+\sqrt{ab}}{\sqrt{a}-\sqrt{b}}\) - a\(\sqrt{\dfrac{1}{a}}\)
c) ( \(\sqrt{28}\) - 2\(\sqrt{3}\) +7) \(\sqrt{7}\) +\(\sqrt{84}\)
* Thực hiện phép tính:
a. \(2\sqrt{18}-9\sqrt{50}+3\sqrt{8}\)
b. \(\left(\sqrt{7}-\sqrt{3}\right)^2+7\sqrt{84}\)
c. \(\left(\dfrac{6-2\sqrt{2}}{3-\sqrt{2}}\dfrac{5}{\sqrt{5}}\right):\dfrac{1}{2-\sqrt{5}}\)
* Tìm x, biết:
a. \(\sqrt{\left(2x+3\right)^2}=8\)
b. \(\sqrt{9x}-7\sqrt{x}=8-6\sqrt{x}\)
c. \(\sqrt{9x-9}+1=13\)
\(\left(2\sqrt{7}+4\sqrt{3}\right)\sqrt{3}-\sqrt{84}\)
Thực hiện phép tính:
1/\(\left(3\sqrt{5}-2\sqrt{3}\right)\sqrt{5}+\sqrt{60}\)
2/\(\left(\sqrt{28}-2\sqrt{3}+\sqrt{7}\right)\sqrt{7}+\sqrt{84}\)
\(\dfrac{2\sqrt{30}}{\sqrt{5}+\sqrt{6}+\sqrt{7}} \)
\(\sqrt{24}+6\sqrt{\dfrac{2}{3}+\dfrac{10}{\sqrt{6}-1}}\)
\(\dfrac{2\sqrt{15}+\sqrt{16}}{\sqrt{84}+\sqrt{6}}\)
\(2\sqrt{40\sqrt{2}}-2\sqrt{\sqrt{75}}-3\sqrt{5\sqrt{48}}\)
\(\dfrac{\left(2+\sqrt{3}\right)^2-1}{\left(\sqrt{3}+1\right)^2}:\dfrac{\left(3+\sqrt{5}\right)^2-4}{\left(\sqrt{5}+1\right)^2}\)
giúp em với ạ
Bài 1: a) Cho x=\(\sqrt[3]{1+\frac{\sqrt{84}}{9}}+\sqrt[3]{1-\frac{\sqrt{84}}{9}}\). Chứng minh x có giá trị là một số nguyên.
b) Tính: x= \(\sqrt[3]{7+5\sqrt{2}}+\sqrt[3]{7-5\sqrt{2}}+2\)
Thực hiện phép tính
a) \(\left(3-\sqrt{3}\right)\left(-2\sqrt{3}\right)+\left(3\sqrt{3}+1\right)^2\)
b) \(\left(3\sqrt{5}-2\sqrt{3}\right).\sqrt{5}+\sqrt{60}\)
c) \(\left(\sqrt{28}-2\sqrt{3}+\sqrt{7}\right).\sqrt{7}+\sqrt{84}\)
- Bạn nào giúp mình với, mình cảm ơn nhìu ...!
Rút gọn
a)\(\frac{1}{2}\sqrt{12}+3\sqrt{\frac{1}{2}}+\)\(2\sqrt{3}\)
b)\(\sqrt{45}-2\sqrt{18}+\sqrt{20}-3\sqrt{72}\)
c)\(\left(3+\sqrt{3}\right).2\sqrt{3}-\left(2\sqrt{3}-4\right)^2\)
d)\(\left(\sqrt{7}-\sqrt{28}+2\sqrt{3}\right).\sqrt{7}+\sqrt{84}\)
e)\(\left(\sqrt{2}+\sqrt{3}\right)^2-\sqrt{96}\)
