\(a,=\sqrt{49-5.4\sqrt{6}}-\sqrt{49+5.4\sqrt{6}}=\sqrt{49-20\sqrt{6}}-\sqrt{49+20\sqrt{6}}=\sqrt{49-2.2\sqrt{6}.5}-\sqrt{49+2.2\sqrt{6}.5}=\sqrt{\left(2\sqrt{6}-5\right)^2}-\sqrt{\left(2\sqrt{6}+5\right)^2}=\left|2\sqrt{6}-5\right|-\left|2\sqrt{6}+5\right|=5-2\sqrt{6}-2\sqrt{6}-5=-4\sqrt{6}\)
Câu b hình như sai đề
rút gọn
a,\(\sqrt{49-5\sqrt{96}-\sqrt{49}+5\sqrt{96}}\)
\(\sqrt{15-6\sqrt{6}}+\sqrt{3-12\sqrt{6}}\)
\(\sqrt{31-8\sqrt{15}}+\sqrt{24-6\sqrt{15}}\)
\(\sqrt{49-5\sqrt{96}}-\sqrt{49+5\sqrt{96}}\)
cần gấp
Tính
a,\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
b,\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
c,\(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)
d,\(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}\)
a) \(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)
b) \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
c) \(\left(3\sqrt{2}+\sqrt{10}\right)\sqrt{38-12\sqrt{5}}\)
Giúp mình nhé, mình đang cần gấp :<<
rút gọn và tính biểu thức sau
a, \(3\sqrt{144}-5\sqrt{49}+\dfrac{1}{2}\sqrt{36}\)
Biến đổi biểu thức trong căn thành bình phương 1 tổng hay 1 hiệu rồi từ đó phá bớt 1 lớp căn:
a)\(\sqrt{4-\sqrt{15}}\)
b) \(\sqrt{7-\sqrt{33}}\)
c) \(\sqrt{10-2\sqrt{6}+2\sqrt{10}-2\sqrt{15}}\)
d) \(\sqrt{25+4\sqrt{10}+4\sqrt{15}+4\sqrt{6}}\)
e) \(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)
f) \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
g) \(\left(\sqrt{2}-3\right)\sqrt{11+6\sqrt{2}}\)
h) \(\left(3\sqrt{2}+\sqrt{10}\right)\sqrt{38-12\sqrt{5}}\)
Giúp tớ với ạ! Càng nhanh càng tốt nha! :))
Bài 1 : tính
a)\(\sqrt{49-12\sqrt{5}}+\sqrt{49+12\sqrt{5}}\)
b)\(\sqrt{29+12\sqrt{5}}+\sqrt{29-12\sqrt{5}}\)
a) A=\(\sqrt{\left(4-\sqrt{15}\right)^2+\sqrt{15}}\)
b) B=\(\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(1-\sqrt{3}\right)^2}\)
c) C=\(\sqrt{49-12\sqrt{5}}-\sqrt{49+12\sqrt{5}}\)
d)D=\(\sqrt{29+12\sqrt{5}-\sqrt{29-12\sqrt{5}}}\)
Rút gọn
\(B=\frac{\left(5+2\sqrt{6}\right)\left(49-20\sqrt{6}\right)\sqrt{5-2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}}\)
Phân tích :
1) \(\sqrt{29+12\sqrt{5}}\) - \(\sqrt{29-12\sqrt{5}}\)
2) \(\sqrt{8-2\sqrt{15}}\)- \(\sqrt{23-4\sqrt{15}}\)
3) \(\sqrt{8-2\sqrt{15}}\) + \(\sqrt{48+6\sqrt{15}}\)
4) \(\sqrt{49-5\sqrt{96}}\)+\(\sqrt{49+5\sqrt{96}}\)
5) \(\sqrt{15-6\sqrt{15}}\)+\(\sqrt{33-12\sqrt{6}}\)
6) \(\sqrt{16-6\sqrt{7}}\)+\(\sqrt{64-24\sqrt{7}}\)
7) \(\sqrt{14-6\sqrt{5}}\)+\(\sqrt{14+6\sqrt{5}}\)
8) \(\sqrt{1-6\sqrt{2}}\)+\(\sqrt{11-6\sqrt{2}}\)
9) \(\sqrt{13+4\sqrt{10}}\)+\(\sqrt{13-4\sqrt{10}}\)
10) \(\sqrt{46-6\sqrt{5}}\)+\(\sqrt{29-12\sqrt{5}}\)
