a: \(=3\cdot7\sqrt{3}+2\cdot6\sqrt{3}-4\cdot4\sqrt{3}-11\sqrt{3}\)
\(=21\sqrt{3}+12\sqrt{3}-16\sqrt{3}-11\sqrt{3}\)
\(=6\sqrt{3}\)
b: \(=\sqrt{\left(3-\sqrt{5}\right)^2}+\sqrt{\left(\sqrt{5}-1\right)^2}\)
\(=3-\sqrt{5}+\sqrt{5}-1\)
=2
c: \(=\left(4-\sqrt{3}\right)\sqrt{\left(4+\sqrt{3}\right)^2}\)
\(=\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)\)
=16-3
=13
a) 1/2√48+4√27-2√108 b) √(2-√5)mũ 2 - √14+6√5 (Tính, rút gọn)
rút gọn biểu thức sau
a,\(5\sqrt{48}-4\sqrt{27}-2\sqrt{57}+\sqrt{108}\)
b,\(2\sqrt{24}-2\sqrt{54}+3\sqrt{6}-\sqrt{150}\)
rút gọn
a)3 √5 + √20-2 √5
b)2 √2+ √8+ √50
c) 4√3+ √ 27 -√45 +2 √5
d) √ 75+ √ 48- √300
e)( √28- √12- √7) √7 +2 √21
f)( √99- √18- √11) √11+3 √22
g)3 √45-5 √125x +7 √20x+28(x>=0)
rút gọn biểu thức
A=2\(\sqrt{27}\)+5\(\sqrt{12}\)-3\(\sqrt{48}\)
B=\(\sqrt{147}\)+\(\sqrt{75}\)-4\(\sqrt{27}\)
C=3\(\sqrt{2}\)(4-\(\sqrt{2}\))+3(1-2\(\sqrt{2}\))2
D=2\(\sqrt{5}\)-\(\sqrt{125}\)-\(\sqrt{80}\)+\(\sqrt{605}\)
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)
Rút gọn biểu thức
a) \(2\sqrt{28}+\sqrt{63}-\sqrt{112}\)
b) \(3\sqrt{48}-5\sqrt{108}+6\sqrt{\dfrac{1}{3}}\)
rút gọn các câu sau
a,\(2\sqrt{18}-4\sqrt{50}+3\sqrt{32}\)
b,\(\sqrt{\left(\sqrt{8}-4\right)^2}+\sqrt{8}\)
c,\(\sqrt{14-6\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
Rút gọn:
a/ \(\left(4+\sqrt{3}\right).\sqrt{19-8\sqrt{3}}\)
b/ \(\sqrt{14-6\sqrt{5}}-\sqrt{14+6\sqrt{5}}\)
Rút gọn biểu thức
a) √2 + √8 + √50;
b) 4√3 + √27 - √45 + √5.
