Bài 8: Rút gọn biểu thức chứa căn bậc hai
Các câu hỏi tương tự
Rút gọn:
1) \(\dfrac{16-6\sqrt{7}}{\sqrt{7}-3}\)
2) \(\dfrac{\left(\sqrt{3}-\sqrt{2}\right)^2+4\sqrt{6}}{\sqrt{3}+\sqrt{2}}\)
3) \(\dfrac{\left(\sqrt{3}+2\sqrt{5}\right)^2-8\sqrt{15}}{\sqrt{6}-2\sqrt{10}}\)
Giúp em với ạ. Help mee !!!
Rút gọn :
1, sqrt{8}-3sqrt{32}+sqrt{72}
2, 6sqrt{12}-sqrt{20}-2sqrt{27}+sqrt{125}
3 , 3sqrt{112}-7sqrt{216}+4sqrt{54}-2sqrt{252}-3sqrt{96}
4, 3sqrt{3}left(3+2sqrt{6}-sqrt{33}right)
6, sqrt{2}left(sqrt{8}-sqrt{32}+3sqrt{18}right)
7, (5sqrt{6}-4sqrt{10}+7sqrt{30}):sqrt{2}
8, left(2sqrt{28}-3sqrt{7}+5sqrt{63}right)sqrt{112}
9, left(5sqrt{3}+3sqrt{5}right):sqrt{15}
10, left(4sqrt{27}-2sqrt{48}-5sqrt{75}right):2sqrt{3}
11, left(1+sqrt{3}-sqrt{2}right).left(1+sqrt{3}+sqrt{2}right)
các bạn...
Đọc tiếp
Rút gọn :
1, \(\sqrt{8}-3\sqrt{32}+\sqrt{72}\)
2, \(6\sqrt{12}-\sqrt{20}-2\sqrt{27}+\sqrt{125}\)
3 , \(3\sqrt{112}-7\sqrt{216}+4\sqrt{54}-2\sqrt{252}-3\sqrt{96}\)
4, \(3\sqrt{3}\left(3+2\sqrt{6}-\sqrt{33}\right)\)
6, \(\sqrt{2}\left(\sqrt{8}-\sqrt{32}+3\sqrt{18}\right)\)
7, \((5\sqrt{6}-4\sqrt{10}+7\sqrt{30}):\sqrt{2}\)
8, \(\left(2\sqrt{28}-3\sqrt{7}+5\sqrt{63}\right)\sqrt{112}\)
9, \(\left(5\sqrt{3}+3\sqrt{5}\right):\sqrt{15}\)
10, \(\left(4\sqrt{27}-2\sqrt{48}-5\sqrt{75}\right):2\sqrt{3}\)
11, \(\left(1+\sqrt{3}-\sqrt{2}\right).\left(1+\sqrt{3}+\sqrt{2}\right)\)
các bạn ơi ! giúp mik với đi !
Rút gọn biểu thức
a, 3 căn 18 - căn 32 +4 căn 2 +căn 162
b, 2 căn 48 - 4 căn 27+ căn 75 + căn 12
c, căn 21+8 căn 5 + căn 21 -8 căn 5
d,(căn 14 - căn 7/căn 2-1 + căn 15 - căn 5/ căn 3-1 )÷1/căn 7- căn 5
Rút gọn các bt sau
A√(5-√21) +√(5+√21)
B[(√15 -√5)/(√3 -1)]+[(5-2√2)/(2√5 -4)]
C {1+[(11-√11)/(1-√11)]}×{[(11+√11)/(1+√11)]+1}
D[√2/(√2-√3)]-[√2/(√2+√3)]
E[1/(√2 -√3)]×√[(3√2 -2√3)/(3√2+2√3)]
F√(6-2√2 +2√3 -2√6 )
G√[(6+2√5-√(29-12√5)]
H1/√3 +1/3√2 +1/√3×[(5/12)×(1/√6)]
I(√2+1)×(√2^2 +1)×(√2^4 +1)×(√2^8 +1)(√2^16 +1)
K1/(√2 +√3)+1/(√3 +√4) +1/(√4 +√5)+.....+1/(√2009 +√2010)
L{(4+√7)/[3√2 +√(4+√7)]}+{(4-√7)/[3√2 -√(4-√7)]}
Hỡi các cao nhân giúp em với em xin hậu tạ
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Rút gọn các bt sau
A=√(5-√21) +√(5+√21)
B=[(√15 -√5)/(√3 -1)]+[(5-2√2)/(2√5 -4)]
C= {1+[(11-√11)/(1-√11)]}×{[(11+√11)/(1+√11)]+1}
D=[√2/(√2-√3)]-[√2/(√2+√3)]
E=[1/(√2 -√3)]×√[(3√2 -2√3)/(3√2+2√3)]
F=√(6-2√2 +2√3 -2√6 )
G=√[(6+2√5-√(29-12√5)]
H=1/√3 +1/3√2 +1/√3×[(5/12)×(1/√6)]
I=(√2+1)×(√2^2 +1)×(√2^4 +1)×(√2^8 +1)(√2^16 +1)
K=1/(√2 +√3)+1/(√3 +√4) +1/(√4 +√5)+.....+1/(√2009 +√2010)
L={(4+√7)/[3√2 +√(4+√7)]}+{(4-√7)/[3√2 -√(4-√7)]}
Hỡi các cao nhân giúp em với em xin hậu tạ
Bài 1 : rút gọn
a, sqrt{8}-3sqrt{32}+sqrt{72}
b, 6sqrt{12}-sqrt{20}-2sqrt{27}+sqrt{125}
c, 3sqrt{112}-7sqrt{216}+4sqrt{54}-2sqrt{252}-3sqrt{96}
bài 2 : rút gọn
1, 3sqrt{3}left(3+2sqrt{6}-sqrt{33}right)
2, sqrt{2}left(sqrt{8}-sqrt{32}+3sqrt{18}right)
3, left(2sqrt{2}-3sqrt{7}+5sqrt{63}right)sqrt{112}
4, (5sqrt{6}-4sqrt{10}+7sqrt{30}):sqrt{2}
5, left(5sqrt{3}+3sqrt{5}right):sqrt{15}
6, left(4sqrt{27}-2sqrt{48}-5sqrt{75}right):2sqrt{3}
7, left(1+sqrt{3}-sqrt{2}right).left(1+sqrt{3}+sqr...
Đọc tiếp
Bài 1 : rút gọn
a, \(\sqrt{8}-3\sqrt{32}+\sqrt{72}\)
b, \(6\sqrt{12}-\sqrt{20}-2\sqrt{27}+\sqrt{125}\)
c, \(3\sqrt{112}-7\sqrt{216}+4\sqrt{54}-2\sqrt{252}-3\sqrt{96}\)
bài 2 : rút gọn
1, \(3\sqrt{3}\left(3+2\sqrt{6}-\sqrt{33}\right)\)
2, \(\sqrt{2}\left(\sqrt{8}-\sqrt{32}+3\sqrt{18}\right)\)
3, \(\left(2\sqrt{2}-3\sqrt{7}+5\sqrt{63}\right)\sqrt{112}\)
4, \((5\sqrt{6}-4\sqrt{10}+7\sqrt{30}):\sqrt{2}\)
5, \(\left(5\sqrt{3}+3\sqrt{5}\right):\sqrt{15}\)
6, \(\left(4\sqrt{27}-2\sqrt{48}-5\sqrt{75}\right):2\sqrt{3}\)
7, \(\left(1+\sqrt{3}-\sqrt{2}\right).\left(1+\sqrt{3}+\sqrt{2}\right)\)
các bạn ơi ! giúp mik vs đi !!!!!!!!!!!!!!
1. √(9-4√5) - √(14+6√5)
2.(3√2+√10) +√(28-12√5)
3.√(4+2√3)× √(√3 - 1) 2
4. √(13-√160)-√(53+4√60)
Làm mất căn mẫu và thu gọn
1) dfrac{sqrt{15}-sqrt{5}}{sqrt{3}-1}+dfrac{5-2sqrt{5}}{2sqrt{5}-4}
2) left(1-dfrac{5+sqrt{5}}{1+sqrt{5}}right)left(dfrac{5-sqrt{5}}{1-sqrt{5}}-1right)
3) left(dfrac{3sqrt{125}}{15}-dfrac{10-4sqrt{5}}{sqrt{5}-2}right)dfrac{1}{sqrt{5}}
4) dfrac{1}{1+sqrt{2}}-dfrac{1}{1-sqrt{2}}
5) dfrac{1}{3+sqrt{5}}-dfrac{1}{sqrt{5}-3}
6) dfrac{sqrt{3}+sqrt{2}}{sqrt{3}-sqrt{2}}+dfrac{sqrt{2}-sqrt{3}}{sqrt{2}+sqrt{3}}
7) dfrac{4}{1-sqrt{3}}+dfrac{sqrt{3}-1}{sqrt{3}+1}
8) dfrac{s...
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Làm mất căn mẫu và thu gọn
1) \(\dfrac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}+\dfrac{5-2\sqrt{5}}{2\sqrt{5}-4}\)
2) \(\left(1-\dfrac{5+\sqrt{5}}{1+\sqrt{5}}\right)\left(\dfrac{5-\sqrt{5}}{1-\sqrt{5}}-1\right)\)
3) \(\left(\dfrac{3\sqrt{125}}{15}-\dfrac{10-4\sqrt{5}}{\sqrt{5}-2}\right)\dfrac{1}{\sqrt{5}}\)
4) \(\dfrac{1}{1+\sqrt{2}}-\dfrac{1}{1-\sqrt{2}}\)
5) \(\dfrac{1}{3+\sqrt{5}}-\dfrac{1}{\sqrt{5}-3}\)
6) \(\dfrac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}+\dfrac{\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}\)
7) \(\dfrac{4}{1-\sqrt{3}}+\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\)
8) \(\dfrac{\sqrt{2}-1}{\sqrt{2}+1}-\dfrac{3}{\sqrt{2}-1}\)
9) \(\dfrac{\sqrt{2}}{\sqrt{\sqrt{2}+1}-1}-\dfrac{\sqrt{2}}{\sqrt{\sqrt{2}+1}+1}\)
10) \(\dfrac{\sqrt{15}-\sqrt{12}}{\sqrt{5}-2}-\dfrac{1}{2-\sqrt{3}}\)
11) \(\dfrac{5}{1+\sqrt{6}}-\dfrac{3\sqrt{2}-2\sqrt{3}}{\sqrt{3}-\sqrt{2}}\)
12) \(\dfrac{5}{3-\sqrt{7}}-\dfrac{3}{\sqrt{2}+\sqrt{3}}+\dfrac{-1}{\sqrt{2}-1}\)
Giúp em giải với ạ! Help me~!
1. √(9-4√5) - √(14+6√5)
2. (3√2 + √10) + √(28-12√5)
3. √(13-√160) - √(53+4√60)
1. √(9-4√5) - √(14+6√5)
2. (3√2 + √10) + √(28-12√5)
3. √(13-√160) - √(53+4√60)
tính giá trị biểu thức :
a, \(\left(\sqrt{28}+2\sqrt{14}+\sqrt{7}\right)\sqrt{7}-\left(7+\sqrt{2}\right)^2\)
b, \(\sqrt{\dfrac{5}{2}}+\dfrac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}\)
c, \(\dfrac{8+2\sqrt{15}}{\sqrt{5}+\sqrt{3}}+\dfrac{7-2\sqrt{10}}{\sqrt{5}-\sqrt{2}}\)
d,\(\dfrac{3+4\sqrt{3}}{\sqrt{6}+\sqrt{2}-\sqrt{5}}\)