\(=\left|4-\sqrt{15}\right|+\sqrt{15}=4-\sqrt{15}+\sqrt{15}=4\)
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Bài 2: Căn thức bậc hai và hằng đẳng thức căn bậc hai của bình phương
Các câu hỏi tương tự
1)\(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
2)\(\sqrt{35+12\sqrt{6}}-\sqrt{35-12\sqrt{6}}\)
3)\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
\(B=\left(4+\sqrt{ }15\right).\left(\sqrt{ }10-\sqrt{ }6\right).\left(\sqrt{4-\sqrt{ }}15\right)\)
Rút gọn\(B=\frac{3\sqrt{8}+2\sqrt{12}+\sqrt{20}}{3\sqrt{18}-2\sqrt{27}+\sqrt{45}}\\ C=\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
1A)rút gọn biểu thức
a)\(\sqrt{\left(4-\sqrt{15}\right)^2}+\sqrt{15}\)
b)\(\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(1-\sqrt{3}\right)^2}\)
1B)thực hiện phép tính
a)\(\sqrt{\left(\sqrt[2]{2}-3\right)^2}+\sqrt[2]{2}\)
b)\(\sqrt{\left(\sqrt{10}-3\right)^2}+\sqrt{\left(\sqrt{10}-4\right)^2}\)
Tính
A sqrt{4+sqrt{15}}- sqrt{4-sqrt{15}} -sqrt{2-sqrt{3}}
B sqrt{9-2sqrt{14}} +sqrt{9-2sqrt{14}}
C left(4+sqrt{15}right) left(sqrt{10}-sqrt{6}right) sqrt{4-sqrt{15}}
D dfrac{2+sqrt{3}}{sqrt{2}+sqrt{2}+sqrt{3}} + dfrac{2-sqrt{3}}{sqrt{2}-sqrt{2sqrt{3}}}
Đọc tiếp
Tính
A= \(\sqrt{4+\sqrt{15}}\)- \(\sqrt{4-\sqrt{15}}\) -\(\sqrt{2-\sqrt{3}}\)
B= \(\sqrt{9-2\sqrt{14}}\) +\(\sqrt{9-2\sqrt{14}}\)
C= \(\left(4+\sqrt{15}\right)\) \(\left(\sqrt{10}-\sqrt{6}\right)\) \(\sqrt{4-\sqrt{15}}\)
D= \(\dfrac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2}+\sqrt{3}}\) + \(\dfrac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2\sqrt{3}}}\)
Thực hiện phép tính
a) \(\left(4+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b) \(\sqrt{3-\sqrt{5}}\left(\sqrt{10}-\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
c) \(\frac{\sqrt{\sqrt{5+2}}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+2}}-\sqrt{3-2\sqrt{2}}\)
Rút gọn :
a) left(sqrt{6}+sqrt{2}right).left(sqrt{3}-2right)left(sqrt{2+sqrt{3}}right)
b) sqrt{2}.left(sqrt{2-sqrt{3}}right).left(sqrt{3}+1right)
c) left(sqrt{10}-sqrt{6}right).left(sqrt{4-sqrt{15}}right)
d)left(sqrt{3}-sqrt{12}right).left(sqrt{5+2sqrt{6}}right)
e) sqrt{2-sqrt{3}}.left(sqrt{6}-sqrt{2}right).left(2+sqrt{3}right)
f) sqrt{4+sqrt{5sqrt{3}+5sqrt{48-10sqrt{7+4sqrt{3}}}}}
Đọc tiếp
Rút gọn :
a) \(\left(\sqrt{6}+\sqrt{2}\right).\left(\sqrt{3}-2\right)\left(\sqrt{2+\sqrt{3}}\right)\)
b) \(\sqrt{2}.\left(\sqrt{2-\sqrt{3}}\right).\left(\sqrt{3}+1\right)\)
c) \(\left(\sqrt{10}-\sqrt{6}\right).\left(\sqrt{4-\sqrt{15}}\right)\)
d)\(\left(\sqrt{3}-\sqrt{12}\right).\left(\sqrt{5+2\sqrt{6}}\right)\)
e) \(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}-\sqrt{2}\right).\left(2+\sqrt{3}\right)\)
f) \(\sqrt{4+\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)
1.sqrt{frac{129}{16}+sqrt{2}}
2.sqrt{frac{289+4sqrt{72}}{16}}
3. sqrt{2-sqrt{3}}.left(sqrt{6}+sqrt{2}right)
4.left(sqrt{21}+7right).sqrt{10-2sqrt{21}}
5.2.left(sqrt{10}-sqrt{2}right).sqrt{4+sqrt{6-2sqrt{5}}}
6.left(4sqrt{2}+sqrt{30}right).left(sqrt{5}-sqrt{3}right).sqrt{4-sqrt{15}}
7.left(7+sqrt{14}right).sqrt{9-2sqrt{14}}
Đọc tiếp
1.\(\sqrt{\frac{129}{16}+\sqrt{2}}\)
2.\(\sqrt{\frac{289+4\sqrt{72}}{16}}\)
3. \(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}+\sqrt{2}\right)\)
4.\(\left(\sqrt{21}+7\right).\sqrt{10-2\sqrt{21}}\)
5.\(2.\left(\sqrt{10}-\sqrt{2}\right).\sqrt{4+\sqrt{6-2\sqrt{5}}}\)
6.\(\left(4\sqrt{2}+\sqrt{30}\right).\left(\sqrt{5}-\sqrt{3}\right).\sqrt{4-\sqrt{15}}\)
7.\(\left(7+\sqrt{14}\right).\sqrt{9-2\sqrt{14}}\)
1.Tính :
a.\(-\frac{4}{3}.\sqrt[]{\left(-0.4\right)^2}\)
b.\(5.\sqrt{\left(-\frac{1}{5}\right)^2}\)
c.\(4.\sqrt[]{\left(-3\right)^6+5.\sqrt[]{\left(-2\right)^4}}\)
d.\(3.\sqrt[]{\left(-15\right)^2}-4.\sqrt[]{\left(-0.5\right)^2}\)