\(\sqrt{\sqrt{\left(3\right)^8}}\)=\(\sqrt{\sqrt{6561}}=\sqrt{81}=9\)
\(\sqrt[2]{\left(-5^4\right)}=\sqrt[2]{625}=25\)
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Bài 1: Căn bậc hai
Các câu hỏi tương tự
Bài 1: Thực hiện phép tính:
a) \(\sqrt{\sqrt{28+16\sqrt{3}}}\)
b) \(\sqrt{7+4\sqrt{3}}\)
c) \(\sqrt{\sqrt{56-24\sqrt{5}}}\)
d) \(\sqrt{12-2\sqrt{11}}\)
e) \(\sqrt{9+4\sqrt{2}}\)
Mọi người giúp e vs ạ, hứa sẽ tick, e cảm ơn!!
Thực hiện phép tính:
a,frac{1}{2}sqrt{48}-5sqrt{27}+2sqrt{147}-sqrt{108}
b,sqrt{left(sqrt{5}-3right)^2}+sqrt{left(1+sqrt{5}right)^2}
c,frac{12}{3+sqrt{3}}-frac{6}{sqrt{3}}+frac{sqrt{27}-3sqrt{2}}{sqrt{3}-sqrt{2}}
d,left(sqrt{2+sqrt{3}}-sqrt{3+sqrt{5}}right)^2
Giúp mk vs huhu mk hứa sẽ tick ạ :
Đọc tiếp
Thực hiện phép tính:
a,\(\frac{1}{2}\sqrt{48}-5\sqrt{27}+2\sqrt{147}-\sqrt{108}\)
b,\(\sqrt{\left(\sqrt{5}-3\right)^2}+\sqrt{\left(1+\sqrt{5}\right)^2}\)
c,\(\frac{12}{3+\sqrt{3}}-\frac{6}{\sqrt{3}}+\frac{\sqrt{27}-3\sqrt{2}}{\sqrt{3}-\sqrt{2}}\)
d,\(\left(\sqrt{2+\sqrt{3}}-\sqrt{3+\sqrt{5}}\right)^2\)
Giúp mk vs huhu mk hứa sẽ tick ạ :>
a/ dfrac{sqrt{3-sqrt{5}}left(3+sqrt{5}right)}{sqrt{10}+sqrt{2}}
b/ sqrt{8sqrt{3}}-2sqrt{25sqrt{12}}+4sqrt{sqrt{192}}
c/ sqrt{2-sqrt{3}}left(sqrt{5}+sqrt{2}right)
d/ sqrt{3-sqrt{5}}+sqrt{3+sqrt{5}}
e/ dfrac{left(sqrt{5}+2right)^2-8sqrt{5}}{2sqrt{5}-4}
Làm ơn, giúp mik với. Mik đang cần gấp lắm!
Đọc tiếp
a/ \(\dfrac{\sqrt{3-\sqrt{5}}\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)
b/ \(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
c/ \(\sqrt{2-\sqrt{3}}\left(\sqrt{5}+\sqrt{2}\right)\)
d/ \(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\)
e/ \(\dfrac{\left(\sqrt{5}+2\right)^2-8\sqrt{5}}{2\sqrt{5}-4}\)
Làm ơn, giúp mik với. Mik đang cần gấp lắm!
Rút gọn căn bậc hai theo hằng đẳng thức:
a)left(4sqrt{2}+sqrt{30}right).left(sqrt{5}-sqrt{3}right)sqrt{4-sqrt{15}}
b)2.left(sqrt{10}-sqrt{2}right).left(4+sqrt{6-2sqrt{5}}right)
c)left(7+sqrt{14}right).sqrt{9-2sqrt{14}}
d)sqrt{dfrac{289+4sqrt{72}}{16}}
e) left(sqrt{21}+7right).sqrt{10-2sqrt{21}}
f)sqrt{2-sqrt{3}.left(sqrt{6}+sqrt{2}right)}
g) sqrt{2}sqrt{8+3sqrt{7}}
h) sqrt{11+6sqrt{2}}
Đọc tiếp
Rút gọn căn bậc hai theo hằng đẳng thức:
a)\(\left(4\sqrt{2}+\sqrt{30}\right).\left(\sqrt{5}-\sqrt{3}\right)\sqrt{4-\sqrt{15}}\)
b)\(2.\left(\sqrt{10}-\sqrt{2}\right).\left(4+\sqrt{6-2\sqrt{5}}\right)\)
c)\(\left(7+\sqrt{14}\right).\sqrt{9-2\sqrt{14}}\)
d)\(\sqrt{\dfrac{289+4\sqrt{72}}{16}}\)
e) \(\left(\sqrt{21}+7\right).\sqrt{10-2\sqrt{21}}\)
f)\(\sqrt{2-\sqrt{3}.\left(\sqrt{6}+\sqrt{2}\right)}\)
g) \(\sqrt{2}\sqrt{8+3\sqrt{7}}\)
h) \(\sqrt{11+6\sqrt{2}}\)
Bài 2
a) A sqrt{left(1-sqrt{2}right)^2}+sqrt{left(-2right)^6}-sqrt{left(1+sqrt{2}right)^2}
b) B sqrt{7+2sqrt{6}}+sqrt{7-2sqrt{6}}
c) C sqrt{7-4sqrt{3}}
d) D 2sqrt{7+4sqrt{3}}-sqrt{13-4sqrt{3}}
e) E frac{1}{1+sqrt{3}}+frac{1}{sqrt{3}+sqrt{5}}+...+frac{1}{sqrt{79}+sqrt{81}}
Bài 4:
a) sqrt{x-1}2
b) sqrt{x^2-3x+2}sqrt{2}
c) sqrt{4x+1}x+1
d) sqrt{x+2sqrt{x-1}}-sqrt{x-2sqrt{x-1}}2
e) sqrt{x^2-4x+5}+sqrt{x^2-4x+8}+sqrt{x^2-4x+9}3+sqrt{5}
f)
Đọc tiếp
Bài 2
a) A= \(\sqrt{\left(1-\sqrt{2}\right)^2}+\sqrt{\left(-2\right)^6}-\sqrt{\left(1+\sqrt{2}\right)^2}\)
b) B= \(\sqrt{7+2\sqrt{6}}+\sqrt{7-2\sqrt{6}}\)
c) C= \(\sqrt{7-4\sqrt{3}}\)
d) D= \(2\sqrt{7+4\sqrt{3}}-\sqrt{13-4\sqrt{3}}\)
e) E= \(\frac{1}{1+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+...+\frac{1}{\sqrt{79}+\sqrt{81}}\)
Bài 4:
a) \(\sqrt{x-1}=2\)
b) \(\sqrt{x^2-3x+2}=\sqrt{2}\)
c) \(\sqrt{4x+1}=x+1\)
d) \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-2\sqrt{x-1}}=2\)
e) \(\sqrt{x^2-4x+5}+\sqrt{x^2-4x+8}+\sqrt{x^2-4x+9}=3+\sqrt{5}\)
f)
bài 1: thực hiện phép tính sau:
a, sqrt{15-sqrt{216}}+sqrt{33-12sqrt{6}}
b, sqrt{8sqrt{3}}-2sqrt{25sqrt{12}}+4sqrt{sqrt{192}}
c, sqrt{2-sqrt{3}}left(sqrt{6}+sqrt{2}right)
d, sqrt{3-sqrt{5}}+sqrt{3+sqrt{5}}
e, left(sqrt{2}+1right)^3-left(sqrt{2}-1right)^3
làm ơn giúp mjk với mjk cần gấp lắm !!
Đọc tiếp
bài 1: thực hiện phép tính sau:
a, \(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)
b, \(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
c, \(\sqrt{2-\sqrt{3}}\left(\sqrt{6}+\sqrt{2}\right)\)
d, \(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\)
e, \(\left(\sqrt{2}+1\right)^3-\left(\sqrt{2}-1\right)^3\)
làm ơn giúp mjk với 
mjk cần gấp lắm !!
tính:a,\(\dfrac{5.\left(38^2-17^2\right)}{8.\left(47^2-19^2\right)}\)
b, \(\sqrt{\dfrac{0,2.1,21.0,3}{7,5.3,2.0,64}}\)
c, \(\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}-\sqrt{2}\)
d, \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}\)
e, \(\sqrt{6,5+\sqrt{12}}+\sqrt{6,5-\sqrt{12}}+2\sqrt{6}\)
Bài 1:
a) sqrt{13-2sqrt{42}}
b) sqrt{46+6sqrt{5}}
c) sqrt{12-3sqrt{15}}
d) sqrt{11+sqrt{96}}
Bài 2:
a) Asqrt{6+2sqrt{2}sqrt{3-sqrt{4+2sqrt{3}}}}
b) Bsqrt{5}-sqrt{3-sqrt{29-12sqrt{5}}}
c) Csqrt{3-sqrt{5}}left(sqrt{10}+sqrt{2}right)left(3+sqrt{5}right)
d) Dsqrt{4+sqrt{7}}-sqrt{4-sqrt{7}}
e) Esqrt{8+2sqrt{10+2sqrt{5}}}+sqrt{8-2sqrt{10+2sqrt{5}}}
g) Gsqrt{x+2sqrt{x-1}}+sqrt{x-2sqrt{x-1}}
h) H4x-sqrt{9x^2-12x+4}
i) frac{sqrt{7}-sqrt{2}}{sqrt{7}+sqrt{2}}+frac{sqrt{7}+sqrt{2}}{sqrt{7}-sqrt...
Đọc tiếp
Bài 1:
a) \(\sqrt{13-2\sqrt{42}}\)
b) \(\sqrt{46+6\sqrt{5}}\)
c) \(\sqrt{12-3\sqrt{15}}\)
d) \(\sqrt{11+\sqrt{96}}\)
Bài 2:
a) \(A=\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{4+2\sqrt{3}}}}\)
b) \(B=\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}\)
c) \(C=\sqrt{3-\sqrt{5}}\left(\sqrt{10}+\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
d) \(D=\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}\)
e) \(E=\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\)
g) \(G=\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}\)
h) \(H=4x-\sqrt{9x^2-12x+4}\)
i) \(\frac{\sqrt{7}-\sqrt{2}}{\sqrt{7}+\sqrt{2}}+\frac{\sqrt{7}+\sqrt{2}}{\sqrt{7}-\sqrt{2}}\)
Thực hiện các phép tính sau:
a)frac{10+2sqrt{10}}{sqrt{5}+sqrt{2}}+frac{8}{1-sqrt{5}}
b) frac{2sqrt{8}-sqrt{12}}{sqrt{18}-sqrt{48}}-frac{sqrt{5}+sqrt{27}}{sqrt{30}+sqrt{162}}
c) sqrt{frac{2-sqrt{3}}{2+sqrt{3}}}+sqrt{frac{2+sqrt{3}}{2-sqrt{3}}}
d) frac{sqrt{3-sqrt{5}}.left(3+sqrt{5}right)}{sqrt{10}+sqrt{2}}
e) frac{1}{sqrt{2}+sqrt{2+sqrt{3}}}+frac{1}{sqrt{2}-sqrt{2-sqrt{3}}}
f) frac{left(sqrt{5}+2right)^2-8sqrt{5}}{2sqrt{5}-4}
Đọc tiếp
Thực hiện các phép tính sau:
a)\(\frac{10+2\sqrt{10}}{\sqrt{5}+\sqrt{2}}+\frac{8}{1-\sqrt{5}}\)
b) \(\frac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}-\frac{\sqrt{5}+\sqrt{27}}{\sqrt{30}+\sqrt{162}}\)
c) \(\sqrt{\frac{2-\sqrt{3}}{2+\sqrt{3}}}+\sqrt{\frac{2+\sqrt{3}}{2-\sqrt{3}}}\)
d) \(\frac{\sqrt{3-\sqrt{5}}.\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)
e) \(\frac{1}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{1}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
f) \(\frac{\left(\sqrt{5}+2\right)^2-8\sqrt{5}}{2\sqrt{5}-4}\)