\(\sqrt{50}+\sqrt{48}+\sqrt{72}\)
=\(5\sqrt{2}+4\sqrt{3}+6\sqrt{2}\)
=\(11\sqrt{2}+4\sqrt{3}\)
Ôn tập chương 1: Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
\(\)Bài 1: Rút gọn các biểu thức sau
a) A= \(3\sqrt{3}+4\sqrt{12}-5\sqrt{27}\)
b) B= \(\sqrt{32}-\sqrt{50}+\sqrt{18}\)
c) C= \(\sqrt{72}+\sqrt{4\frac{1}{2}}-\sqrt{32}-\sqrt{162}\)
1 , Thực hiện phép tính
a, \(2\sqrt{16}-3\sqrt{25}+5\sqrt{121}\)
b, \(3\sqrt{50}-4\sqrt{12}+5\sqrt{72}-3\sqrt{27}\)
c, \(\sqrt{11-6\sqrt{2}}+3-\sqrt{2}\)
d, \(\sqrt{4+2\sqrt{3}}-\sqrt{3}\)
1. sqrt{3} - 2sqrt{12} + 3sqrt{27} - 4sqrt{48} + 5sqrt{75}
2. sqrt{175} - 2sqrt{112} - 3sqrt{63} - 2sqrt{28} + sqrt{7}
3. 3sqrt{75} - frac{12}{sqrt{2}} - 30sqrt{1frac{1}{3}} + sqrt{75}
4. (2sqrt{3} -sqrt{12} +2sqrt{27} ) : 3sqrt{3}
5. (4sqrt{2} - sqrt{72} - 3sqrt{50} ) sqrt{2} -4sqrt{25} + 1
Đọc tiếp
1. \(\sqrt{3}\) - \(2\sqrt{12}\) + \(3\sqrt{27}\) - \(4\sqrt{48}\) + \(5\sqrt{75}\)
2. \(\sqrt{175}\) - \(2\sqrt{112}\) - \(3\sqrt{63}\) - \(2\sqrt{28}\) + \(\sqrt{7}\)
3. \(3\sqrt{75}\) - \(\frac{12}{\sqrt{2}}\) - \(30\sqrt{1\frac{1}{3}}\) + \(\sqrt{75}\)
4. (\(2\sqrt{3}\) -\(\sqrt{12}\) +\(2\sqrt{27}\) ) : \(3\sqrt{3}\)
5. (\(4\sqrt{2}\) - \(\sqrt{72}\) - \(3\sqrt{50}\) ) \(\sqrt{2}\) -\(4\sqrt{25}\) + \(1\)
a,\(\sqrt{12}\)+ \(2\sqrt{27}\)+\(3\sqrt{75}\)-\(9\sqrt{48}\)
b, (\(2\sqrt{2}\) - \(\sqrt{3}\))\(^2\)
\(\sqrt{48-10\sqrt{7+4\sqrt{3}}}+2+\sqrt{3}\)
\(\frac{2\sqrt{3-\sqrt{3+\sqrt{13+\sqrt{48}}}}}{\sqrt{6}-\sqrt{2}}\)
Bài 1 :tính giá trị của biểu thức
a) left(sqrt{5}+sqrt{2}right)left(3sqrt{2}-1right)
b) 3sqrt{50}-2sqrt{75}-4dfrac{sqrt{54}}{sqrt{3}}-3sqrt{dfrac{1}{3}}
c) sqrt{left(sqrt{3}-3right)^2}+sqrt{4+2sqrt{3}}
d) sqrt{48-2sqrt{135}}-sqrt{45}+sqrt{18}
e)dfrac{5sqrt{2}-2sqrt{5}}{sqrt{5}-sqrt{2}}+dfrac{6}{2-sqrt{10}}-dfrac{20}{sqrt{10}}
Bài 2 :Tính:
a) 3sqrt{2x}-5sqrt{8x}+7sqrt{18x}
b) left(2sqrt{3}+4right)left(sqrt{3}-2right)
c) sqrt{3+2sqrt{2}}+sqrt{left(sqrt{2}-2right)^2}
d)sqrt{4-sqrt{15}}-sq...
Đọc tiếp
Bài 1 :tính giá trị của biểu thức
a) \(\left(\sqrt{5}+\sqrt{2}\right)\left(3\sqrt{2}-1\right)\)
b) \(3\sqrt{50}-2\sqrt{75}-4\dfrac{\sqrt{54}}{\sqrt{3}}-3\sqrt{\dfrac{1}{3}}\)
c) \(\sqrt{\left(\sqrt{3}-3\right)^2}+\sqrt{4+2\sqrt{3}}\)
d) \(\sqrt{48-2\sqrt{135}}-\sqrt{45}+\sqrt{18}\)
e)\(\dfrac{5\sqrt{2}-2\sqrt{5}}{\sqrt{5}-\sqrt{2}}+\dfrac{6}{2-\sqrt{10}}-\dfrac{20}{\sqrt{10}}\)
Bài 2 :Tính:
a) \(3\sqrt{2x}-5\sqrt{8x}+7\sqrt{18x}\)
b) \(\left(2\sqrt{3}+4\right)\left(\sqrt{3}-2\right)\)
c) \(\sqrt{3+2\sqrt{2}}+\sqrt{\left(\sqrt{2}-2\right)^2}\)
d)\(\sqrt{4-\sqrt{15}}-\sqrt{4+\sqrt{15}}+\sqrt{6}\)
e)\(\left(\dfrac{5-\sqrt{5}}{\sqrt{5}}-2\right)\left(\dfrac{4}{1+\sqrt{5}}+4\right)\)
f) \(\dfrac{1}{5}\sqrt{50}-2\sqrt{96}-\dfrac{\sqrt{30}}{\sqrt{15}}+12\sqrt{\dfrac{1}{6}}\)
1. sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}+sqrt{8}
2. dfrac{sqrt{3-2sqrt{3}}}{sqrt{17-12sqrt{2}}}-dfrac{sqrt{3+2sqrt{2}}}{sqrt{17+12sqrt{2}}}
3.sqrt{7+2sqrt{6}}-sqrt{left(sqrt{6-1}right)^2}
4sqrt{5-2sqrt{6}}-sqrt{5+sqrt{24}}
5.sqrt{4sqrt{5+sqrt{3+5sqrt{48-10sqrt{7+4sqrt{3}}}}}}
6.sqrt{6+2sqrt{5-sqrt{13+sqrt{48}}}}
Đọc tiếp
1. \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{8}\)
2. \(\dfrac{\sqrt{3-2\sqrt{3}}}{\sqrt{17-12\sqrt{2}}}-\dfrac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
3.\(\sqrt{7+2\sqrt{6}}-\sqrt{\left(\sqrt{6-1}\right)^2}\)
4\(\sqrt{5-2\sqrt{6}}-\sqrt{5+\sqrt{24}}\)
5.\(\sqrt{4\sqrt{5+\sqrt{3+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}}\)
6.\(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
1. sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}+sqrt{8}
2. dfrac{sqrt{3-2sqrt{3}}}{sqrt{17-12sqrt{2}}}-dfrac{sqrt{3+2sqrt{2}}}{sqrt{17+12sqrt{2}}}
3.sqrt{7+2sqrt{6}}-sqrt{left(sqrt{6}-1right)^2}
4sqrt{5-2sqrt{6}}-sqrt{5+sqrt{24}}
5.sqrt{4sqrt{5+sqrt{3+5sqrt{48-10sqrt{7+4sqrt{3}}}}}}
6.sqrt{6+2sqrt{5-sqrt{13+sqrt{48}}}}
Đọc tiếp
1. \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{8}\)
2. \(\dfrac{\sqrt{3-2\sqrt{3}}}{\sqrt{17-12\sqrt{2}}}-\dfrac{\sqrt{3+2\sqrt{2}}}{\sqrt{17+12\sqrt{2}}}\)
3.\(\sqrt{7+2\sqrt{6}}-\sqrt{\left(\sqrt{6}-1\right)^2}\)
4\(\sqrt{5-2\sqrt{6}}-\sqrt{5+\sqrt{24}}\)
5.\(\sqrt{4\sqrt{5+\sqrt{3+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}}\)
6.\(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)