\(=3+\sqrt{2}-3+\sqrt{2}=2\sqrt{2}\)
\(=3+\sqrt{2}-3+\sqrt{2}=2\sqrt{2}\)
Tính
a, √11+6√2 + √11-6√2
b, √6 + 2√5 - √13 + 4√3
1)chứng minh
a)\(11+6\sqrt{2}=\left(3+\sqrt{2}\right)^2\)
b)\(\sqrt{11+6\sqrt{2}}+\sqrt{11-6\sqrt{2}}=6\)
2)chứng minh
a)\(8-2\sqrt{7}=\left(\sqrt{7}-1\right)^2\)
b)\(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}}=2\)
Tính :
\(\sqrt{6+\sqrt{11}}-\sqrt{6-\sqrt{11}}+3\sqrt{2}\)
6. √(5+2√6)
7. √(4+2√3)
8. √(4-2√3)
9. √(11-2√30)
10. √(21-4√17)
chứng minh 11 + 6√2 = (3 + √2) mũ 2
thực hiện phép tính
a)P=\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
b)Q=\(\sqrt{17+12\sqrt{2}}+\sqrt{17-12\sqrt{2}}\)
a) \(\sqrt{5+2\sqrt{6}}-\sqrt{3-2\sqrt{2}}\)
b) \(\sqrt{11+6\sqrt{2}}-\sqrt{18+8\sqrt{2}}\)
c) \(\sqrt{2}\sqrt{2-\sqrt{3}}\left(\sqrt{3}+1\right)\)
bài tập, rút gọn
a, √8-2√7 + √16-6√7
b, √(√7-1)2 - √11+4√7
c.ơn các bạn trước
Bài 1:
\(A=3\sqrt{18}+\sqrt{98}-\sqrt{288}\)
\(B=\sqrt{\left(\sqrt{2}-1\right)^2}-\sqrt{11+6\sqrt{2}}\)
Giup minh nhe!!
1. Rut gon bieu thuc:
a) \(A=\sqrt{11-6\sqrt{2}}+3+\sqrt{2}\)
b) \(B=\sqrt{12+2\sqrt{11}}+\sqrt{12-2\sqrt{11}}\)
2. Rut gon bieu thuc:
a) \(A=\sqrt{x-2+2\sqrt{x-3}}+\sqrt{x+6+6\sqrt{x-3}},voix>=3\)
3. Tim GTNN cua bieu thuc:
a) \(A=\sqrt{4x^2-12x+9}+\sqrt{x^2-10x+25}+\sqrt{9x^2-6x+1}+\sqrt{16x^2-72x+81}\)
b) \(B=\dfrac{1}{2}\sqrt{x^2}+\sqrt{x^2-2x+1}\)