\(\sqrt{3}\left(\sqrt{2}-\sqrt{3}\right)^2-\left(\sqrt{3}+\sqrt{2}\right)\)
\(=\sqrt{3}\left(5-2\sqrt{6}\right)-\sqrt{3}-\sqrt{2}\)
\(=5\sqrt{3}-6\sqrt{2}-\sqrt{3}-\sqrt{2}=4\sqrt{3}-7\sqrt{2}\)
Bài 3: Liên hệ giữa phép nhân và phép khai phương
Các câu hỏi tương tự
A)left(3-2sqrt{2}right).left(3+2sqrt{2}right) B) sqrt{left(sqrt{3}-2right)}^2-sqrt{left(sqrt{3}+2right)}^2 C)sqrt{3-2sqrt[]{2}}-sqrt{3+2sqrt{2}}
D)left(1+sqrt{3}-sqrt{2}right).left(1+sqrt{3}+2right)
E) left(sqrt{3-sqrt{5}}+sqrt{3+sqrt{5}}right)^2 F)sqrt{15-sqrt{216}}+sqrt{33-12sqrt{6}}
H)sqrt{8sqrt{3}}-2sqrt{25sqrt{12}}+4sqrt{sqrt{192}}
Đọc tiếp
A)\(\left(3-2\sqrt{2}\right).\left(3+2\sqrt{2}\right)\) B) \(\sqrt{\left(\sqrt{3}-2\right)}^2-\sqrt{\left(\sqrt{3}+2\right)}^2\) C)\(\sqrt{3-2\sqrt[]{2}}-\sqrt{3+2\sqrt{2}}\)
D)\(\left(1+\sqrt{3}-\sqrt{2}\right).\left(1+\sqrt{3}+2\right)\)
E) \(\left(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}\right)^2\) F)\(\sqrt{15-\sqrt{216}}+\sqrt{33-12\sqrt{6}}\)
H)\(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
Tính :
a) \(\sqrt{3\sqrt{2}+2\sqrt{3}}.\sqrt{3\sqrt{2}-2\sqrt{3}}\)
b) \(\left(1-\sqrt{2}+\sqrt{3}\right)\left(1+\sqrt{2}-\sqrt{3}\right)\)
c) \(\left(5+4\sqrt{2}\right)\left(3+2\sqrt{1+\sqrt{2}}\right)\left(3-2\sqrt{1+\sqrt{2}}\right)\)
Tính
a) sqrt{left(4-2sqrt{3}right).left(13+4sqrt{3}right)}
b) left(sqrt{3}-2right).left(sqrt{6}+sqrt{2}right).sqrt{sqrt{3}+2}
c)left(3+sqrt{5}right).left(sqrt{10}-sqrt{2}right).sqrt{3-sqrt{5}}
d) left(4+sqrt{15}right).left(sqrt{10}-sqrt{6}right).sqrt{4-sqrt{15}}
Giúp mk với, mk hứa sẽ tick cho.Cảm ơn nhiều!!
Đọc tiếp
Tính
a) \(\sqrt{\left(4-2\sqrt{3}\right).\left(13+4\sqrt{3}\right)}\)
b) \(\left(\sqrt{3}-2\right).\left(\sqrt{6}+\sqrt{2}\right).\sqrt{\sqrt{3}+2}\)
c)\(\left(3+\sqrt{5}\right).\left(\sqrt{10}-\sqrt{2}\right).\sqrt{3-\sqrt{5}}\)
d) \(\left(4+\sqrt{15}\right).\left(\sqrt{10}-\sqrt{6}\right).\sqrt{4-\sqrt{15}}\)
Giúp mk với, mk hứa sẽ tick cho.Cảm ơn nhiều!!
tính
\(\sqrt{5}.\left(\sqrt{3}+\sqrt{2}\right)\)
\(\left(\sqrt{3}-\sqrt{5}\right)^2\)
\(\left(\sqrt{7}-\sqrt{2}\right).\left(\sqrt{7}+\sqrt{2}\right)\)
\(\left(\sqrt{3}+\sqrt{5}\right)^2\)
\(\left(\sqrt{8+3\sqrt{7}}\right)+\left(\sqrt{8-3\sqrt{7}}\right)\)
B2 : Tính : a, left(sqrt{x}-3right).left(sqrt{x}+2right)b, left(sqrt{x}-sqrt{y}right).left(sqrt{x}+sqrt{y}right)c, left(sqrt{dfrac{25}{3}}-sqrt{dfrac{49}{3}}+sqrt{3}right).sqrt{3}d,left(1+sqrt{3}-sqrt{5}right).left(1+sqrt{3}+sqrt{5}right)
Đọc tiếp
B2 : Tính :
a, \(\left(\sqrt{x}-3\right)\)\(.\left(\sqrt{x}+2\right)\)
b, \(\left(\sqrt{x}-\sqrt{y}\right).\)\(\left(\sqrt{x}+\sqrt{y}\right)\)
c, \(\left(\sqrt{\dfrac{25}{3}}-\sqrt{\dfrac{49}{3}}+\sqrt{3}\right)\)\(.\sqrt{3}\)
d,\(\left(1+\sqrt{3}-\sqrt{5}\right)\)\(.\left(1+\sqrt{3}+\sqrt{5}\right)\)
Thực hiện phép tính:
a) ( 4+sqrt{15})left(sqrt{10}-sqrt{6}right)sqrt{4-sqrt{15}}
b)sqrt{3-sqrt{5}}left(3+sqrt{5}right)left(sqrt{10}-sqrt{2}right)
c) left(sqrt{3}-sqrt{2}+1right)left(sqrt{3}-1right)
d) sqrt{2+sqrt{3}}.sqrt{2+sqrt{2+sqrt{3}}}.sqrt{2+sqrt{2+sqrt{2+sqrt{3}}}}.sqrt{2-sqrt{2+sqrt{2+sqrt{3}}}}
Đọc tiếp
Thực hiện phép tính:
a) ( \(4+\sqrt{15}\))\(\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b)\(\sqrt{3-\sqrt{5}}\left(3+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{2}\right)\)
c) \(\left(\sqrt{3}-\sqrt{2}+1\right)\left(\sqrt{3}-1\right)\)
d) \(\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}.\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
bài 1 : rút gọn các biểu thức sau .
a, sqrt{4left(a-3right)^2}+2sqrt{a^2+4a+4}left(a -2right)
b, sqrt{dfrac{left(x-2right)^2}{left(3-2right)^2}}+dfrac{x^2-1}{x-3}left(x 3right)
c, 4x-sqrt{8}+dfrac{sqrt{x^3+2x^2}}{sqrt{x+2}}
bài 2 thực hiện phép tính :
a, sqrt{8-sqrt[2]{7}}timessqrt{8+sqrt[2]{7}}
b, sqrt{4+sqrt{8}+}+sqrt{2}+sqrt{2+sqrt{2}}timessqrt{2-sqrt{2+2}}
c, left(4+sqrt{15}right)timessqrt{10}-sqrt{6}timessqrt{4-sqrt{15}}
d, left(2+sqrt{3}right)^2-left(2-sqrt{3}right)timesleft(2+sqr...
Đọc tiếp
bài 1 : rút gọn các biểu thức sau .
a, \(\sqrt{4\left(a-3\right)^2}+2\sqrt{a^2+4a+4}\left(a< -2\right)\)
b, \(\sqrt{\dfrac{\left(x-2\right)^2}{\left(3-2\right)^2}}+\dfrac{x^2-1}{x-3}\left(x< 3\right)\)
c, \(4x-\sqrt{8}+\dfrac{\sqrt{x^3+2x^2}}{\sqrt{x+2}}\)
bài 2 thực hiện phép tính :\
a, \(\sqrt{8-\sqrt[2]{7}}\times\sqrt{8+\sqrt[2]{7}}\)
b, \(\sqrt{4+\sqrt{8}+}+\sqrt{2}+\sqrt{2+\sqrt{2}}\times\sqrt{2-\sqrt{2+2}}\)
c, \(\left(4+\sqrt{15}\right)\times\sqrt{10}-\sqrt{6}\times\sqrt{4-\sqrt{15}}\)
d, \(\left(2+\sqrt{3}\right)^2-\left(2-\sqrt{3}\right)\times\left(2+\sqrt{3}\right)\)
A)sqrt{2-sqrt{3}}.left(sqrt{6}+sqrt{2}right)
B)left(sqrt{2}+1^{ }right)^3-left(sqrt{2}-1right)^3 C)dfrac{2sqrt{8}-sqrt{12}}{sqrt{18}-sqrt{48}}-dfrac{sqrt{5}+sqrt{27}}{sqrt{30}+sqrt{162}} D)sqrt{dfrac{2-sqrt{3}}{2+sqrt{3}}}+sqrt{dfrac{2+sqrt{3}}{2-sqrt{3}}} E)dfrac{sqrt{3-sqrt{5}}.left(3+sqrt{5}right)}{sqrt{10}+sqrt{2}} F)dfrac{1}{sqrt{2}+sqrt{2+sqrt{3}}}+dfrac{1}{sqrt{2}-sqrt{2-sqrt{3}}}
Đọc tiếp
A)\(\sqrt{2-\sqrt{3}}.\left(\sqrt{6}+\sqrt{2}\right)\)
B)\(\left(\sqrt{2}+1^{ }\right)^3-\left(\sqrt{2}-1\right)^3\) C)\(\dfrac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}-\dfrac{\sqrt{5}+\sqrt{27}}{\sqrt{30}+\sqrt{162}}\) D)\(\sqrt{\dfrac{2-\sqrt{3}}{2+\sqrt{3}}}+\sqrt{\dfrac{2+\sqrt{3}}{2-\sqrt{3}}}\) E)\(\dfrac{\sqrt{3-\sqrt{5}}.\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\) F)\(\dfrac{1}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\dfrac{1}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
1. Tính
a. \(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b.\(\sqrt{3-\sqrt{5}}\left(\sqrt{10}-\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
c.\(\dfrac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}}\)
Tính
1) sqrt{18}.sqrt{2}
2) sqrt{15^2-9^2}
3) sqrt{46-6sqrt{5}}-sqrt{46+6sqrt{5}}
4)sqrt{21+6sqrt{6}}-sqrt{21-6sqrt{6}}
5) left(2+sqrt{5}right).sqrt{9-4sqrt{5}}
6)left(3-sqrt{2}right).sqrt{7+4sqrt{3}}
7)left(sqrt{3}+sqrt{5}right).sqrt{7-2sqrt{10}}
8)left(sqrt{6}+sqrt{10}right).sqrt{4-sqrt{15}}
9) sqrt{2}.left(sqrt{8}-sqrt{32}+3sqrt{18}right)
10) sqrt{2}left(sqrt{2}-sqrt{3-sqrt{5}}right)
11) sqrt{3}-sqrt{2}-sqrt{left(sqrt{3}+sqrt{2}right)^2}
12) left(sqrt{2}-sqrt{3+sqrt{5}}right).sqrt...
Đọc tiếp
Tính
1) \(\sqrt{18}.\sqrt{2}\)
2) \(\sqrt{15^2-9^2}\)
3) \(\sqrt{46-6\sqrt{5}}-\sqrt{46+6\sqrt{5}}\)
4)\(\sqrt{21+6\sqrt{6}}-\sqrt{21-6\sqrt{6}}\)
5) \(\left(2+\sqrt{5}\right).\sqrt{9-4\sqrt{5}}\)
6)\(\left(3-\sqrt{2}\right).\sqrt{7+4\sqrt{3}}\)
7)\(\left(\sqrt{3}+\sqrt{5}\right).\sqrt{7-2\sqrt{10}}\)
8)\(\left(\sqrt{6}+\sqrt{10}\right).\sqrt{4-\sqrt{15}}\)
9) \(\sqrt{2}.\left(\sqrt{8}-\sqrt{32}+3\sqrt{18}\right)\)
10) \(\sqrt{2}\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right)\)
11) \(\sqrt{3}-\sqrt{2}-\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}\)
12) \(\left(\sqrt{2}-\sqrt{3+\sqrt{5}}\right).\sqrt{2}+2\sqrt{5}\)