Sửa đề: \(\sqrt{17-12\sqrt{2}}+\sqrt{9-4\sqrt{2}}\)
\(=3-2\sqrt{2}+\sqrt{2}-1\)
\(=2-\sqrt{2}\)
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Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
\(\sqrt{17+12\sqrt{2}}+\sqrt{9-4\sqrt{2}}\)
Bài 1 : Rút gọn
a) \(\dfrac{2\sqrt{3}+2}{4\sqrt{3}+4}\) b) \(\dfrac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\) c) \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\) d) \(\sqrt{9+\sqrt{17}}\). \(\sqrt{9-\sqrt{17}}\)
Thực hiện phép tính:
1,left(sqrt{12}-2sqrt{75}right).sqrt{3}
2,sqrt{3}.left(sqrt{12}.sqrt{27}-sqrt{3}right)
3,left(7sqrt{48}+3sqrt{27}-2sqrt{12}right):sqrt{3}
4,left(sqrt{dfrac{1}{7}}-sqrt{dfrac{16}{7}}+sqrt{7}right):sqrt{7}
5,sqrt{sqrt{5}+2}.sqrt{sqrt{5}-2}
6,sqrt{9-sqrt{17}}.sqrt{9+sqrt{17}}
Đọc tiếp
Thực hiện phép tính:
\(1,\left(\sqrt{12}-2\sqrt{75}\right).\sqrt{3}\)
\(2,\sqrt{3}.\left(\sqrt{12}.\sqrt{27}-\sqrt{3}\right)\)
\(3,\left(7\sqrt{48}+3\sqrt{27}-2\sqrt{12}\right):\sqrt{3}\)
\(4,\left(\sqrt{\dfrac{1}{7}}-\sqrt{\dfrac{16}{7}}+\sqrt{7}\right):\sqrt{7}\)
\(5,\sqrt{\sqrt{5}+2}.\sqrt{\sqrt{5}-2}\)
\(6,\sqrt{9-\sqrt{17}}.\sqrt{9+\sqrt{17}}\)
thực hiện phép tính
\(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
Thực hiện các phép tính sau:
b) \(\sqrt{7-2\sqrt{10}}-\sqrt{7+2\sqrt{10}}\)
e) \(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
f) \(\sqrt{6-4\sqrt{2}}+\sqrt{22-12\sqrt{2}}\)
Tính thu gọn :
a , sqrt{17-12sqrt{2}}-sqrt{17+12sqrt{2}}
b , sqrt{27+12sqrt{5}}-sqrt{27-12sqrt{5}}
c , sqrt{15-6sqrt{6}}+sqrt{15+sqrt{6sqrt{6}}}
d , sqrt{4+sqrt{15}}+sqrt{4-sqrt{15}}-2sqrt{3-sqrt{5}}
e , sqrt{17-3sqrt{32}}+sqrt{17+3sqrt{32}}
f , sqrt{5+sqrt{3-sqrt{29-12sqrt{5}}}}
Đọc tiếp
Tính thu gọn :
a , \(\sqrt{17-12\sqrt{2}}-\sqrt{17+12\sqrt{2}}\)
b , \(\sqrt{27+12\sqrt{5}}-\sqrt{27-12\sqrt{5}}\)
c , \(\sqrt{15-6\sqrt{6}}+\sqrt{15+\sqrt{6\sqrt{6}}}\)
d , \(\sqrt{4+\sqrt{15}}+\sqrt{4-\sqrt{15}}-2\sqrt{3-\sqrt{5}}\)
e , \(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
f , \(\sqrt{5+\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
So sánh A = 2\(\sqrt{1}+2\sqrt{3}+2\sqrt{5}+2\sqrt{7}+2\sqrt{9}+2\sqrt{11}+2\sqrt{13}+2\sqrt{15}+2\sqrt{17}+2\sqrt{19}\) và B = \(2\sqrt{2}+2\sqrt{4}+2\sqrt{6}+2\sqrt{8}+2\sqrt{10}+2\sqrt{12}+2\sqrt{14}+2\sqrt{16}+2\sqrt{18}+2\sqrt{20}\)
Tính
1/ \(\sqrt{17-4\sqrt{9+4\sqrt{5}}}\)
2/ \(\sqrt{17-6\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
3/ \(\sqrt{3+\sqrt{5-\sqrt{13+4\sqrt{3}}}}\)
4/ \(\sqrt{27+10\sqrt{2}}:\dfrac{1}{\sqrt{\left(\sqrt{2}-5\right)^2}}\)
Rút gọn:
a) sqrt{24-3sqrt{15}}-sqrt{36-9sqrt{15}}
b)sqrt{2-sqrt{3}}-sqrt{2+sqrt{3}}
c)sqrt{3-sqrt{5}}-sqrt{3+sqrt{5}}
d) sqrt{9-sqrt{17}}-sqrt{9+sqrt{17}}
e) sqrt{7+sqrt{13}}-sqrt{7-sqrt{13}}
f) sqrt{12-3sqrt{7}}-sqrt{12+3sqrt{7}}
Đọc tiếp
Rút gọn:
a) \(\sqrt{24-3\sqrt{15}}-\sqrt{36-9\sqrt{15}}\)
b)\(\sqrt{2-\sqrt{3}}-\sqrt{2+\sqrt{3}}\)
c)\(\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
d) \(\sqrt{9-\sqrt{17}}-\sqrt{9+\sqrt{17}}\)
e) \(\sqrt{7+\sqrt{13}}-\sqrt{7-\sqrt{13}}\)
f) \(\sqrt{12-3\sqrt{7}}-\sqrt{12+3\sqrt{7}}\)