Bài 9: Căn bậc ba
Các câu hỏi tương tự
thực hiện phép tính
a)\(\left(\frac{1}{2}\sqrt[3]{9}-2\sqrt[3]{3}+3\sqrt[3]{\frac{1}{3}}\right):2\sqrt[3]{\frac{1}{3}}\)
b)\(\left(\sqrt[3]{9}+\sqrt[3]{6}-\sqrt[3]{4}\right)\left(\sqrt[3]{3}+\sqrt[3]{2}\right)\)
KF
27 tháng 9 2023 lúc 21:01
Thực hiện các phép tính sau:
a)\(\sqrt[3]{\left(4-2\sqrt[3]{3}\right)\left(\sqrt[3]{3}-1\right)}\)
b)\(\sqrt{3+\sqrt{3}+\sqrt[3]{10+6\sqrt{3}}}\)
Tính giá trị các biểu thức:
a)( \(\frac{1}{2}\sqrt[3]{9}-2\sqrt[3]{3}+3\sqrt[3]{\frac{1}{3}}\)) : \(2\sqrt[3]{\frac{1}{3}}\)
b)\(\left(12\sqrt[3]{2}+\sqrt[3]{16}-2\sqrt[3]{2}\right)\left(5\sqrt[3]{4}-3\sqrt[3]{\frac{1}{2}}\right)\)
Tính:
a) sqrt[3]{left(sqrt{2}+1right)left(3+2sqrt{2}right)}
b) sqrt[3]{left(4-2sqrt{3}right)left(sqrt{3}-1right)}
c) left(sqrt[3]{4}+1right)^3-left(sqrt[3]{4}-1right)^3
d) left(sqrt[3]{9}-sqrt[3]{6}+sqrt[3]{4}right)left(sqrt[3]{3}+sqrt[3]{2}right)
e) sqrt[3]{20+14sqrt{2}}+sqrt[3]{20-14sqrt{2}}
Mọi người giúp em với ạ!!!!!!!!!!!
Đọc tiếp
Tính:
a) \(\sqrt[3]{\left(\sqrt{2}+1\right)\left(3+2\sqrt{2}\right)}\)
b) \(\sqrt[3]{\left(4-2\sqrt{3}\right)\left(\sqrt{3}-1\right)}\)
c) \(\left(\sqrt[3]{4}+1\right)^3-\left(\sqrt[3]{4}-1\right)^3\)
d) \(\left(\sqrt[3]{9}-\sqrt[3]{6}+\sqrt[3]{4}\right)\left(\sqrt[3]{3}+\sqrt[3]{2}\right)\)
e) \(\sqrt[3]{20+14\sqrt{2}}+\sqrt[3]{20-14\sqrt{2}}\)
Mọi người giúp em với ạ!!!!!!!!!!!
Rút gọn các biểu thức:
a) A frac{sqrt[3]{135}}{sqrt[3]{5}}-sqrt[3]{54}sqrt[3]{4}
b) B left(frac{1}{2}sqrt[3]{2}-frac{1}{4}sqrt[3]{16}right).sqrt[3]{4}
c) C sqrt[3]{left(sqrt{2}+1right)left(3+2sqrt{2}right)}
d) D sqrt[3]{3+3sqrt[3]{2}+3sqrt[3]{4}}
e) E sqrt[3]{2+sqrt{5}}+sqrt[3]{2-sqrt{5}}
Đọc tiếp
Rút gọn các biểu thức:
a) A= \(\frac{\sqrt[3]{135}}{\sqrt[3]{5}}-\sqrt[3]{54}\sqrt[3]{4}\)
b) B= \(\left(\frac{1}{2}\sqrt[3]{2}-\frac{1}{4}\sqrt[3]{16}\right).\sqrt[3]{4}\)
c) C= \(\sqrt[3]{\left(\sqrt{2}+1\right)\left(3+2\sqrt{2}\right)}\)
d) D= \(\sqrt[3]{3+3\sqrt[3]{2}+3\sqrt[3]{4}}\)
e) E= \(\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}\)
KF
27 tháng 9 2023 lúc 20:56
Thực hiện phép tính
a)\(\dfrac{\sqrt[3]{135}}{\sqrt[3]{5}}-\sqrt[3]{54}.\sqrt[3]{4}\)
b)\(\left(\sqrt[3]{25}-\sqrt[3]{10}+\sqrt[3]{4}\right)\)\(\left(\sqrt[3]{5}+\sqrt[3]{2}\right)\)
Tính:a)left(dfrac{1}{2}sqrt[3]{9}-2sqrt[3]{3}+3sqrt[3]{dfrac{1}{3}}right):2sqrt[3]{dfrac{1}{3}}
b)left(sqrt[3]{4}+1right)^3-left(sqrt[3]{4}-1right)^3
c)left(12sqrt[3]{2}+sqrt[3]{16}-2sqrt[3]{2}right)left(5sqrt[3]{4}-3sqrt[3]{dfrac{1}{2}}right)
Đọc tiếp
Tính:a)\(\left(\dfrac{1}{2}\sqrt[3]{9}-2\sqrt[3]{3}+3\sqrt[3]{\dfrac{1}{3}}\right)\):\(2\sqrt[3]{\dfrac{1}{3}}\)
b)\(\left(\sqrt[3]{4}+1\right)^3\)-\(\left(\sqrt[3]{4}-1\right)^3\)
c)\(\left(12\sqrt[3]{2}+\sqrt[3]{16}-2\sqrt[3]{2}\right)\)\(\left(5\sqrt[3]{4}-3\sqrt[3]{\dfrac{1}{2}}\right)\)
H24
16 tháng 6 2021 lúc 19:59
Tính P\(=\left(x^3+12x-9\right)^{2021}\) khi \(x=\sqrt[3]{4\left(\sqrt{5}+1\right)}-\sqrt[3]{4\left(\sqrt{5}-1\right)}\)
1.Chứng minh:\(\dfrac{a+\sqrt{2+\sqrt{5}.}\sqrt{\sqrt{9-4\sqrt{5}}}}{3\sqrt{2-\sqrt{5}}.\sqrt[3]{\sqrt{9+4\sqrt{5}-}3\sqrt{a^2}+\sqrt[3]{a}}}\)=\(-\sqrt[3]{a}-1\)
2.Rút gọn: \(\left(\dfrac{a^3\sqrt[]{a}-2a^3\sqrt{b}+\sqrt[3]{a^2}-\sqrt[3]{b}}{\sqrt[3]{a^2-\sqrt[3]{ab}}}+\dfrac{\sqrt[3]{a^2b}-\sqrt[3]{ab^2}}{\sqrt[3]{a}-\sqrt[3]{b}}\right)1\dfrac{1}{\sqrt[3]{a^2}}\)