\(\sqrt{6+2\sqrt{5}-\sqrt{29-12\sqrt{5}}}=\sqrt{6+2\sqrt{5}-\sqrt{20-2.2\sqrt{5}.3+9}}=\sqrt{6+2\sqrt{5}-2\sqrt{5}+3}=\sqrt{9}=3\)
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Ôn tập chương 1: Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
Tính giá trị biểu thức:
a)\(\sqrt{6-4\sqrt{2}}+\sqrt{19-6\sqrt{2}}\)
b)\(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\)
c)\(\sqrt{7-2\sqrt{10}}-\sqrt{6-2\sqrt{5}}\)
Rút gọn căn thức bậc hai
b, \(\sqrt{8-2\sqrt{7}}\)
c, \(\sqrt{29-12\sqrt{5}}-\sqrt{9-4\sqrt{5}}\)
\(\sqrt{\sqrt{5-\sqrt{3-\sqrt{29-12\sqrt{5}}}}}\)
\(A=\sqrt{\sqrt{ }5-\sqrt{ }3-\sqrt{ }29-12\sqrt{ }5}\)
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.\(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
6 tháng 8 2021 lúc 19:56
Giải phương trình:1. sqrt{dfrac{42}{5-x}}+sqrt{dfrac{60}{7-x}}62. sqrt{x^2-3x+2}+sqrt{x+3}sqrt{x-2}+sqrt{x^2+2x-3}3. x^2+x+12sqrt{x+1}364. sqrt{x+2}-sqrt{x-6}25. sqrt[3]{x-1}-sqrt[3]{x-3}sqrt[3]{2}6. 5sqrt{1+x^3}2left(x^2+2right)6. left(sqrt{x+5}-sqrt{x+2}right)left(1+sqrt{x^2+7x+10}right)3
Đọc tiếp
Giải phương trình:
1. \(\sqrt{\dfrac{42}{5-x}}+\sqrt{\dfrac{60}{7-x}}=6\)
2. \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
3. \(x^2+x+12\sqrt{x+1}=36\)
4. \(\sqrt{x+2}-\sqrt{x-6}=2\)
5. \(\sqrt[3]{x-1}-\sqrt[3]{x-3}=\sqrt[3]{2}\)
6. \(5\sqrt{1+x^3}=2\left(x^2+2\right)\)
6. \(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
1.Tính: a, sqrt{left(5-sqrt{3}right)^2}-sqrt{left(sqrt{3}-2right)^2}
b, Bleft(2-sqrt{3}right).sqrt{26+15sqrt{3}}-left(2+sqrt{3}right).sqrt{26-15sqrt{3}}
c, sqrt{sqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}}
d, Aleft(sqrt{10}-sqrt{2}right)sqrt{3+sqrt{5}}
2.Giải pt:
a,sqrt{x^2-3x-2}x-2
b,5sqrt{x-1}-sqrt{36x-36}+sqrt{9x-9}sqrt{8x+12}
c,sqrt{x}+sqrt{1-x}+sqrt{xleft(1-xright)}1
Đọc tiếp
1.Tính: a, \(\sqrt{\left(5-\sqrt{3}\right)^2}-\sqrt{\left(\sqrt{3}-2\right)^2}\)
b, B=\(\left(2-\sqrt{3}\right).\sqrt{26+15\sqrt{3}}-\left(2+\sqrt{3}\right).\sqrt{26-15\sqrt{3}}\)
c, \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
d, A=\(\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3+\sqrt{5}}\)
2.Giải pt:
a,\(\sqrt{x^2-3x-2}=x-2\)
b,\(5\sqrt{x-1}-\sqrt{36x-36}+\sqrt{9x-9}=\sqrt{8x+12}\)
c,\(\sqrt{x}+\sqrt{1-x}+\sqrt{x\left(1-x\right)}=1\)
Thực hiện phép tính
a) left(4+sqrt{15}right)left(sqrt{10}-sqrt{6}right)sqrt{4-sqrt{15}}
b) left(3-sqrt{5}right)sqrt{3+sqrt{5}}+sqrt{3-sqrt{5}}left(3+sqrt{5}right)
c) sqrt{3+sqrt{5}}-sqrt{3-sqrt{5}}-sqrt{2}
d) sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}+sqrt{7}
e) sqrt{6,5+sqrt{12}}+sqrt{6,5-sqrt{12}}+2sqrt{6}
Đọc tiếp
Thực hiện phép tính
a) \(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b) \(\left(3-\sqrt{5}\right)\sqrt{3+\sqrt{5}}+\sqrt{3-\sqrt{5}}\left(3+\sqrt{5}\right)\)
c) \(\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}-\sqrt{2}\)
d) \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}\)
e) \(\sqrt{6,5+\sqrt{12}}+\sqrt{6,5-\sqrt{12}}+2\sqrt{6}\)