\(\dfrac{5\sqrt{7}+7\sqrt{5}}{\sqrt{35}}=\dfrac{\sqrt{35}\left(\sqrt{5}+\sqrt{7}\right)}{\sqrt{35}}=\sqrt{7}+\sqrt{5}\)
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Bài 4: Liên hệ giữa phép chia và phép khai phương
Các câu hỏi tương tự
\(\left(5\sqrt{7}+7\sqrt{5}\right):\sqrt{35}\)
Tính:Asqrt{4+2sqrt{3}}-sqrt{4-2sqrt{3}}Bsqrt{9-4sqrt{5}}+sqrt{9+4sqrt{5}}Csqrt{4-sqrt{7}}-sqrt{4+sqrt{7}}Dsqrt{5sqrt{3+5sqrt{48-10sqrt{7+4sqrt{3}}}}}Eleft(4+sqrt{15}right)left(sqrt{10}-sqrt{6}right)sqrt{4-sqrt{15}}(2 cách)Fdfrac{sqrt{17-12sqrt{2}}}{sqrt{3-2sqrt{2}}}-dfrac{sqrt{17}+12sqrt{2}}{sqrt{3+2sqrt{2}}}
Đọc tiếp
Tính:
A=\(\sqrt{4+2\sqrt{3}}-\sqrt{4-2\sqrt{3}}\)
B=\(\sqrt{9-4\sqrt{5}}+\sqrt{9+4\sqrt{5}}\)
C=\(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
D=\(\sqrt{5\sqrt{3+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)
E=\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)(2 cách)
F=\(\dfrac{\sqrt{17-12\sqrt{2}}}{\sqrt{3-2\sqrt{2}}}-\dfrac{\sqrt{17}+12\sqrt{2}}{\sqrt{3+2\sqrt{2}}}\)
bài 1 rút gọn
a \(A=\left(3-\sqrt{5}\right)\sqrt{3+\sqrt{5}}+\left(3+\sqrt{5}\right)\sqrt{3-\sqrt{5}}\)
b\(B=\left(5+\sqrt{21}\right)\left(\sqrt{14}-\sqrt{6}\right)\sqrt{5-\sqrt{21}}\)
c\(C=\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}\) d\(D=\sqrt{2+\sqrt{3}}+\sqrt{14-5\sqrt{3}}+\sqrt{2}\)
Tính
a) \(\frac{10}{\sqrt{5}}+\frac{8}{3 +\sqrt{5}}-\frac{\sqrt{15}-2\sqrt{5}}{\sqrt{3}-2}\)
b) \(\left(\frac{\sqrt{14}-\sqrt{7}}{\sqrt{2}-1}-\frac{\sqrt{15}-\sqrt{5}}{1-\sqrt{3}}\right):\frac{1}{\sqrt{5}-\sqrt{7}}\)
1, 1+\(\sqrt{\text{6}+2\sqrt{5}}\)
2, \(\sqrt{\text{7}-2\sqrt{\text{10}}}\) +\(\sqrt{\text{2}}\)
3, \(\sqrt{\text{7}+4\sqrt{3}}\)
BT1: Tính
a, \(\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}-\sqrt{2}\)
b, \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}\)
BT2: Rút gọn
\(3x-\sqrt{27}+\frac{\sqrt{x^3+3x^2}}{\sqrt{x+3}}\) ( x ≥ 0 )
BT1: Tính
a, \(\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}-\sqrt{12}\)
b, \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}+\sqrt{7}\)
BT2: Rút gọn
\(3x-\sqrt{27}+\frac{\sqrt{x^3+3x^2}}{\sqrt{x+3}}\) ( x ≥ 0 )
Rút gọn các căn thức sau
\(\sqrt{12-3\sqrt{7}}\)
\(\sqrt{2-\sqrt{3}}\)
\(\sqrt{3-\sqrt{5}}\)
\(\sqrt{7-3\sqrt{5}}\)
B1: Tính:a, sqrt{72}divsqrt{8}b, (sqrt{28}-sqrt{7}+sqrt{112})divsqrt{7}B2: Tính:a, sqrt{dfrac{49}{8}}divsqrt{3dfrac{1}{8}}b, sqrt{54x}divsqrt{6x}c, sqrt{dfrac{1}{125}}timessqrt{dfrac{32}{35}}divsqrt{dfrac{56}{225}}giúp em với ạ , em cảm mơn
Đọc tiếp
B1: Tính:
a, \(\sqrt{72}\div\sqrt{8}\)
b, \((\sqrt{28}-\sqrt{7}+\sqrt{112})\div\sqrt{7}\)
B2: Tính:
a, \(\sqrt{\dfrac{49}{8}}\div\sqrt{3\dfrac{1}{8}}\)
b, \(\sqrt{54x}\div\sqrt{6x}\)
c, \(\sqrt{\dfrac{1}{125}}\times\sqrt{\dfrac{32}{35}}\div\sqrt{\dfrac{56}{225}}\)
giúp em với ạ , em cảm mơn 