7 tháng 7 2022 lúc 21:42
Bài 9: Căn bậc ba
Các câu hỏi tương tự
27 tháng 9 2023 lúc 20:27
So sánh:M=\(\sqrt[3]{7+5\sqrt{2}}\)+\(\sqrt[3]{7-5\sqrt{2}}\) và N=\(\dfrac{4}{\sqrt[3]{9}}\)
cho x =\(\dfrac{7-4\sqrt{3}}{\sqrt[3]{26-15\sqrt{3}}}-\sqrt[3]{26+15\sqrt{3}}\)
tính A= \(\dfrac{x^6+x^4+4x^2}{40\left(x^4+4x^2-144\right)}\)
10.cho biểu thức:p=\(\left(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right).\left(\dfrac{1+a\sqrt{a}}{1+\sqrt{a}}-\sqrt{a}\right)\)
a) rút gọn p
b)tìm a để p \(< 7-4\sqrt{3}\)
7.cho biểu thức:
\(P=\left(\dfrac{\sqrt{x}+1}{\sqrt{2x}+1}+\dfrac{\sqrt{2x}+\sqrt{x}}{\sqrt{2x}-1}-1\right):\left(1+\dfrac{\sqrt{x}+1}{\sqrt{2x}+1}-\dfrac{\sqrt{2x}+\sqrt{x}}{\sqrt{2x}-1}\right)\) a)rút gon P
b)tính giá trị của P khi x =\(\dfrac{1}{2}\left(3+2\sqrt{2}\right)\)
so sánh
\(M=\sqrt[3]{7+5\sqrt{2}}+\sqrt[3]{7-5\sqrt{2}}\) và\(N=\dfrac{4}{\sqrt[3]{9}}\)
tính \(\sqrt[3]{7+5\sqrt{2}}-\dfrac{1}{\sqrt[3]{7+5\sqrt{2}}}\)
Tính
a.A=\(\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}\)
b.B=\(\sqrt[3]{3+\sqrt{9+\dfrac{125}{7}}}-\sqrt[3]{-3+\sqrt{9+\dfrac{125}{7}}}\)
c.C=\(\sqrt[3]{26+15\sqrt{3}}.\left(2-\sqrt{3}\right)+\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}\)
Cho x =\(\dfrac{2-\left(\sqrt{5}+2\right)\sqrt[3]{17\sqrt{5}-38}}{\sqrt{4+2\sqrt{5}}-\sqrt{3}}\)
Tính P =\(x^{11}-x^{10}+x^9-x^8+x^7-x^6+99\)
Tính:
a)\(\sqrt[3]{125}.\sqrt[3]{\dfrac{16}{10}}.\sqrt[3]{-0,5}\)
b) \(\dfrac{\sqrt[3]{4}+\sqrt[3]{2}+2}{\sqrt[3]{4}+\sqrt[3]{2}+1}\)
c) \(\sqrt{3}+\sqrt[3]{10+6\sqrt{3}}\)
d) \(\dfrac{4+2\sqrt{3}}{\sqrt[3]{10+6\sqrt{3}}}\)
e) E=\(\sqrt[3]{2+10\sqrt{\dfrac{1}{27}}}+\sqrt[3]{2-10\sqrt{\dfrac{1}{27}}}\)
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)\(\left(12\sqrt[3]{2}+\sqrt[3]{16}-2\sqrt[3]{2}\right)\)\(\left(5\sqrt[3]{4}-3\sqrt[3]{\dfrac{1}{2}}\right)\)