1) (\(5\sqrt{3}+2\sqrt{3}\)) (\(2\sqrt{3}-5\sqrt{2}\))
2) \(\sqrt{5+2\sqrt{ }6}-\sqrt{5-2\sqrt{ }6}\)
3)\(\sqrt{14}-6\sqrt{5}+\sqrt{14+6\sqrt{ }5}\)
Rút gọn bth sau:
a) (√7+√5)/(√7-√5)+(√7-√5)/(√7+√5)
b) (4+√2-√3-√6+√8)/(2+√2-√3)
c) M=(√3+1).√(14-6√3)/(5+√3)
tính :
1+2+3+4+5+6+7+8+9+10+12+14+16+18+20+23+26+29+30-29-19-9+50+55+15+25+35+45+65+75+85+95+1000000000000+99999999=?
Tính:
1) \(\sqrt{14-2\sqrt{33}}\)
2) \(\sqrt{12-2\sqrt{35}}\)
3) \(\sqrt{16-2\sqrt{55}}\)
4) \(\sqrt{14-6\sqrt{5}}\)
5) \(\sqrt{17-12\sqrt{2}}\)
6) \(\sqrt{27-12\sqrt{5}}\)
7) \(\sqrt{4+\sqrt{15}}\)
LÀM CHI TIẾT GIÚP MK NHÉ!
Rút gọn
a)\(\left(\sqrt{10}+3\sqrt{2}\right)\)\(\sqrt{14-6\sqrt{5}}\)
b)\(\sqrt{3-\sqrt{5}}.\sqrt{3+\sqrt{5}}\)
)
* Tính
a. A=\(\left(\dfrac{6+\sqrt{20}}{3+\sqrt{5}}+\dfrac{\sqrt{14}-\sqrt{2}}{\sqrt{7}-1}\right):\left(2+\sqrt{2}\right)\)
b. B=\(\sqrt{5-2\sqrt{6}}+\sqrt{5+2\sqrt{6}}-\dfrac{11}{2\sqrt{3}+1}\)
1) \(\sqrt{4}-6\sqrt{5}+\sqrt{14+6\sqrt{ }5}\)5
2) \(\sqrt{5+2\sqrt{ }6}-\sqrt{5-2\sqrt{ }6}\)
3) (\(5\sqrt{2}+2\sqrt{3}\))(\(2\sqrt{3}-5\sqrt{2}\))
Câu 3: Rút gọn biểu thức sau:
a. \(\dfrac{1}{\sqrt{5}-1}+\dfrac{1}{1+\sqrt{5}}\)
b. \(\sqrt{14-6\sqrt{5}}+\sqrt{\left(2-\sqrt{5}\right)^2}\)
c. \(\dfrac{2}{\sqrt{5}+\sqrt{3}}-\dfrac{3-\sqrt{15}}{\sqrt{5}-\sqrt{3}}\)