\(\sqrt{3^2.\left(-4\right)^2}=\sqrt{3^2}.\sqrt{\left(-4\right)^2}=3.4=12\)
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Bài 3: Liên hệ giữa phép nhân và phép khai phương
Các câu hỏi tương tự
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!!
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, \(\left(2+\sqrt{3}\right)^2-\left(2-\sqrt{3}\right)\times\left(2+\sqrt{3}\right)\)
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) \(\left(5+4\sqrt{2}\right)\left(3+2\sqrt{1+\sqrt{2}}\right)\left(3-2\sqrt{1+\sqrt{2}}\right)\)
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) \(\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}.\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
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)\(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)
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) \(\left(\sqrt{2}-\sqrt{3+\sqrt{5}}\right).\sqrt{2}+2\sqrt{5}\)
BÀI 1 : THỰC HIỆN PHÉP TÍNH
a, \(\left(1+\sqrt{3}-\sqrt[2]{2}\right)\times\left(1+\sqrt{3}+\sqrt[2]{2}\right)\)
b, \(\left(\dfrac{3}{2}\times\sqrt{6}+2\times\sqrt{\dfrac{2}{3}}-4\times\sqrt{\dfrac{3}{2}}\right)\times\left(3\times\sqrt{\dfrac{2}{3}}-\sqrt{12}-\sqrt{6}\right)\)
BÀI 2 : rút gọn
B = \(\sqrt{x+2\sqrt{2x-4}}+\sqrt{x-2\sqrt{2x-2}}\)
Rút gọn:
A sqrt{2}left(sqrt{8}-sqrt{32}-2sqrt{18}right)
B left(sqrt{2}-sqrt{3-sqrt{5}}right)
C sqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}
D sqrt{3}-sqrt{2}-sqrt{sqrt{3}+sqrt{2}}
E left(sqrt{2}-sqrt{3}+sqrt{5}right)sqrt{2}+2sqrt{5}
F left(sqrt{14}-sqrt{10}right)left(sqrt{6+sqrt{35}}right)
G sqrt{11-4sqrt{7}}-sqrt{2}timessqrt{8+3sqrt{7}}
Đọc tiếp
Rút gọn:
A = \(\sqrt{2}\left(\sqrt{8}-\sqrt{32}-2\sqrt{18}\right)\)
B = \(\left(\sqrt{2}-\sqrt{3-\sqrt{5}}\right)\)
C = \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
D = \(\sqrt{3}-\sqrt{2}-\sqrt{\sqrt{3}+\sqrt{2}}\)
E = \(\left(\sqrt{2}-\sqrt{3}+\sqrt{5}\right)\sqrt{2}+2\sqrt{5}\)
F = \(\left(\sqrt{14}-\sqrt{10}\right)\left(\sqrt{6+\sqrt{35}}\right)\)
G = \(\sqrt{11-4\sqrt{7}}-\sqrt{2}\times\sqrt{8+3\sqrt{7}}\)
\(\sqrt{4+2\sqrt[]{}3}\)
\(\left(\sqrt{ }7+\sqrt{ }3\right)^2\)
\(\left(\sqrt{ }5-\sqrt{ }3+1\right)\left(\sqrt{ }5-1\right)\)
\(\left(5\sqrt{ }3-2\sqrt{ }7\right)\left(5\sqrt{ }3+2\sqrt{ }7\right)\)
tính các biểu thức sau