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tínhsqrt{left(2-sqrt{5}right)^2}+sqrt{left(2sqrt{2}-sqrt{5}right)^2}sqrt{left(sqrt{7}-2sqrt{2}right)^2}+sqrt{left(3-2sqrt{2}right)^2}sqrt{left(x-3right)^2}left(x3right)sqrt{left(1-xright)^2}left(x1right)sqrt{9a^4}sqrt{100a^2}left(a 0right)
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tính
\(\sqrt{\left(2-\sqrt{5}\right)^2}+\sqrt{\left(2\sqrt{2}-\sqrt{5}\right)^2}\)
\(\sqrt{\left(\sqrt{7}-2\sqrt{2}\right)^2}+\sqrt{\left(3-2\sqrt{2}\right)^2}\)
\(\sqrt{\left(x-3\right)^2}\left(x>3\right)\)
\(\sqrt{\left(1-x\right)^2}\left(x>1\right)\)
\(\sqrt{9a^4}\)
\(\sqrt{100a^2}\left(a< 0\right)\)
Gấp lắm . Giúp mình cảm ơn ạBài 1 2sqrt{left(1+sqrt{3}right)^{ }3}-sqrt{left(2sqrt{3}-3right)^2}left(1+sqrt{3}-sqrt{5}right).left(1+sqrt{3}+sqrt{5}right)left(sqrt[]{dfrac{8}{3}}-sqrt{5}right)xsqrt{6}left(5+4sqrt{2}right).left(3+2sqrt{1}+sqrt{2}right).left(3-2sqrt{1}+2right)sqrt{3+2sqrt{2}}-sqrt{3-2sqrt{2}}
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Gấp lắm . Giúp mình cảm ơn ạ
Bài 1
\(2\sqrt{\left(1+\sqrt{3}\right)^{ }3}-\sqrt{\left(2\sqrt{3}-3\right)^2}\)
\(\left(1+\sqrt{3}-\sqrt{5}\right).\left(1+\sqrt{3}+\sqrt{5}\right)\)
\(\left(\sqrt[]{\dfrac{8}{3}}-\sqrt{5}\right)x\sqrt{6}\)
\(\left(5+4\sqrt{2}\right).\left(3+2\sqrt{1}+\sqrt{2}\right).\left(3-2\sqrt{1}+2\right)\)
\(\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}\)
1> Rut gon
a)\(\sqrt{6-2\sqrt{2}+2\sqrt{3}-2\sqrt{6}}\)
b) \(\left(\sqrt{2}+1\right)\left(\left(\sqrt{2}\right)^2+1\right)\left(\left(\sqrt{2}\right)^4+1\right)\left(\left(\sqrt{2}\right)^8+1\right)\left(\left(\sqrt{2}\right)^{16}+1\right)\)
c)\(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\)
d) \(\sqrt{3-\frac{4\sqrt{5}}{3}}+\sqrt{3+\frac{4\sqrt{5}}{3}}\)
Tính:
\(E=\left(\sqrt{2}+1\right)\left(\sqrt{3}+1\right)\left(\sqrt{6}+1\right)\left(5-2\sqrt{2}-\sqrt{3}\right)\)
\(\left(1+\sqrt{3}-\sqrt{2}\right)\left(1+\sqrt{3}-\sqrt{2}\right)\)
\(\left(1+\dfrac{5-\sqrt{5}}{1-\sqrt{5}}\right)\left(\dfrac{5+\sqrt{5}}{1+\sqrt{5}}+1\right)\)
\(\left(\dfrac{1}{\sqrt{3}-\sqrt{2}}\right)\left(\dfrac{1}{\sqrt{3}-\sqrt{2}}\right)\)
Tính:1) ( 2sqrt{5}-sqrt{7} ) left(2sqrt{5}+sqrt{7}right)2) left(5sqrt{2}+2sqrt{3}right)left(2sqrt{3}-5sqrt{2}right)3) sqrt{left(sqrt{7}-2right)^2}+sqrt{left(sqrt{7}+2right)^2}4) sqrt{left(sqrt{3}+sqrt{2}right)^2}+sqrt{left(sqrt{3}-sqrt{2}right)^2}5) left(sqrt{5}-sqrt{6}right)^26) left(sqrt{3}-sqrt{5}right)^27) left(2sqrt{2}+sqrt{3}right)^2
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Tính:
1) ( \(2\sqrt{5}-\sqrt{7}\) ) \(\left(2\sqrt{5}+\sqrt{7}\right)\)
2) \(\left(5\sqrt{2}+2\sqrt{3}\right)\left(2\sqrt{3}-5\sqrt{2}\right)\)
3) \(\sqrt{\left(\sqrt{7}-2\right)^2}+\sqrt{\left(\sqrt{7}+2\right)^2}\)
4) \(\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}+\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)
5) \(\left(\sqrt{5}-\sqrt{6}\right)^2\)
6) \(\left(\sqrt{3}-\sqrt{5}\right)^2\)
7) \(\left(2\sqrt{2}+\sqrt{3}\right)^2\)
1) frac{3+2sqrt{3}}{sqrt{3}}+frac{2+sqrt{2}}{sqrt{2}+1}-left(sqrt{2}+3right)2) 0.1sqrt{left(-3right)^2}cdotleft[6sqrt{left(-frac{1}{3}right)^2}-sqrt{left(sqrt{3}-2right)^2}right]^23) left(frac{3+2sqrt{3}}{sqrt{3}+2}+frac{2+sqrt{2}}{sqrt{2}+1}right)divleft(1divfrac{1}{sqrt{2}+sqrt{3}}right)4) left(frac{3sqrt{2}+sqrt{6}}{sqrt{12}+2}-frac{sqrt{54}}{3}right)cdotfrac{2}{sqrt{6}}5) sqrt{frac{5+2sqrt{6}}{5-2sqrt{6}}}+sqrt{frac{5-2sqrt{6}}{5+2sqrt{6}}}
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1) \(\frac{3+2\sqrt{3}}{\sqrt{3}}+\frac{2+\sqrt{2}}{\sqrt{2}+1}-\left(\sqrt{2}+3\right)\)
2) \(0.1\sqrt{\left(-3\right)^2}\cdot\left[6\sqrt{\left(-\frac{1}{3}\right)^2}-\sqrt{\left(\sqrt{3}-2\right)^2}\right]^2\)
3) \(\left(\frac{3+2\sqrt{3}}{\sqrt{3}+2}+\frac{2+\sqrt{2}}{\sqrt{2}+1}\right)\div\left(1\div\frac{1}{\sqrt{2}+\sqrt{3}}\right)\)
4) \(\left(\frac{3\sqrt{2}+\sqrt{6}}{\sqrt{12}+2}-\frac{\sqrt{54}}{3}\right)\cdot\frac{2}{\sqrt{6}}\)
5) \(\sqrt{\frac{5+2\sqrt{6}}{5-2\sqrt{6}}}+\sqrt{\frac{5-2\sqrt{6}}{5+2\sqrt{6}}}\)
Tính a)left(sqrt{6}+2right)left(sqrt{3}-sqrt{2}right))b)left(sqrt{3}+1right)^2-2sqrt{3}+4c)left(1+sqrt{2}-sqrt{3}right)left(sqrt{2}+sqrt{3}right)d)sqrt{3}left(sqrt{2}-sqrt{3}right)^2-left(sqrt{3}+sqrt{2}right)e) left(1+2sqrt{3}-sqrt{2}right)left(1+2sqrt{3}+sqrt{2}right)g) left(1-sqrt{3}right)^2left(1+2sqrt{3}right)^2
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Tính
a)\(\left(\sqrt{6}+2\right)\left(\sqrt{3}-\sqrt{2}\right)\))
b)\(\left(\sqrt{3}+1\right)^2-2\sqrt{3}+4\)
c)\(\left(1+\sqrt{2}-\sqrt{3}\right)\left(\sqrt{2}+\sqrt{3}\right)\)
d)\(\sqrt{3}\left(\sqrt{2}-\sqrt{3}\right)^2-\left(\sqrt{3}+\sqrt{2}\right)\)
e) \(\left(1+2\sqrt{3}-\sqrt{2}\right)\left(1+2\sqrt{3}+\sqrt{2}\right)\)
g) \(\left(1-\sqrt{3}\right)^2\left(1+2\sqrt{3}\right)^2\)
a) sqrt{left(frac{1}{sqrt{2}}-frac{1}{2}right)^2}b) sqrt{left(2sqrt{2-3}right)^2}c) sqrt{left(3-2sqrt{2}right)^2+sqrt{left(3+2sqrt{2}right)^2}}d) sqrt{left(5-2sqrt{6}right)^2-sqrt{left(5+2sqrt{6}right)^2}}e) sqrt{left(2-sqrt{3}right)^2+sqrt{left(1-sqrt{3}right)^2}}f) sqrt{left(3+sqrt{2}right)^2-sqrt{left(1-sqrt{2}right)^2}}
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a) \(\sqrt{\left(\frac{1}{\sqrt{2}}-\frac{1}{2}\right)^2}\)
b) \(\sqrt{\left(2\sqrt{2-3}\right)^2}\)
c) \(\sqrt{\left(3-2\sqrt{2}\right)^2+\sqrt{\left(3+2\sqrt{2}\right)^2}}\)
d) \(\sqrt{\left(5-2\sqrt{6}\right)^2-\sqrt{\left(5+2\sqrt{6}\right)^2}}\)
e) \(\sqrt{\left(2-\sqrt{3}\right)^2+\sqrt{\left(1-\sqrt{3}\right)^2}}\)
f) \(\sqrt{\left(3+\sqrt{2}\right)^2-\sqrt{\left(1-\sqrt{2}\right)^2}}\)