Ta có: \(\sqrt{46-6\sqrt{5}}\)
\(=\sqrt{45-2\cdot3\sqrt{5}\cdot1+1}\)
\(=\sqrt{\left(3\sqrt{5}-1\right)^2}\)
\(=\left|3\sqrt{5}-1\right|=3\sqrt{5}-1\)
1) \(\sqrt{46-6\sqrt{5}}\) -\(\sqrt{29-12\sqrt{5}}\)
Hộ mk với pls
tính
d. \(\sqrt{46+6\sqrt{5}}\)
e. \(\sqrt{9+4\sqrt{2}}\)
f. \(\sqrt{16+2\sqrt{15}}\)
1,Rút gọn:
a,\(\sqrt{14-6\sqrt{5}}\)
b,\(\sqrt{46+6\sqrt{5}}\)
c,\(\sqrt{18-6\sqrt{5}}\)
\(\sqrt{46}-6\sqrt{5}-3\left(\sqrt{5}-1\right)\)1)
rút gọn biểu thức
Tính
1. \(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
2. \(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\)
3. \(\left(\sqrt{2}-\sqrt{9}\right)\left(\sqrt{11+2\sqrt{18}}\right)\)
4. \(\left(\sqrt{5}+\sqrt{7}\right)\left(\sqrt{12-2\sqrt{35}}\right)\)
Rút Gọn Biểu Thức
1, \(\dfrac{a-6\sqrt{a}+9}{5\sqrt{a}-15}\) với a≥0, a≠9
2.\(5x-\sqrt{x^2-10x+25}\) với x nhỏ hơn 5
3,\(\dfrac{\sqrt{x^2-2x+1}}{x-1}\) với x≠1
4, 3√5 \(\sqrt{46-6v5}\)
Tính \(\sqrt{A}\)
A = 46 + \(6\sqrt{5}\)
Tính:
a) \(\sqrt{27-12\sqrt{5}}\) e)\(\left(3-\sqrt{2}\right)\sqrt{11+6\sqrt{2}}\)
b)\(\sqrt{28-12\sqrt{5}}\) f) \(\left(\sqrt{5}+\sqrt{7}\right)\sqrt{12-2\sqrt{35}}\)
c) \(\sqrt{7-3\sqrt{5}}\) g)\(\sqrt{46-6\sqrt{5}}+\sqrt{46+6\sqrt{5}}\)
d)\(\sqrt{4+\sqrt{15}}\) h)\(\sqrt{7-2\sqrt{10}}+\sqrt{7+2\sqrt{10}}\)
i) (\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{2}}\)
Tính:
a) \(\sqrt{27-12\sqrt{5}}\) e)\(\left(3-\sqrt{2}\right)\sqrt{11+6\sqrt{2}}\)
b)\(\sqrt{28-12\sqrt{5}}\) f) \(\left(\sqrt{5}+\sqrt{7}\right)\sqrt{12-2\sqrt{35}}\)
c) \(\sqrt{7-3\sqrt{5}}\) g)\(\sqrt{46-6\sqrt{5}}+\sqrt{46+6\sqrt{5}}\)
d)\(\sqrt{4+\sqrt{15}}\) h)\(\sqrt{7-2\sqrt{10}}+\sqrt{7+2\sqrt{10}}\)
i) (\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{2}}\)
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) \(\sqrt{46-6\sqrt{5}}\)+\(\sqrt{29-12\sqrt{5}}\)
