√(9 - 4√2)
= √[(2√2)² - 2.2√2 + 1]
= 2√2 - 1
√(9 - 4√2)
= √[(2√2)² - 2.2√2 + 1]
= 2√2 - 1
tính
c. \(\sqrt{4+2\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)
d. \(\sqrt{9+4\sqrt{5}}-\sqrt{9-4\sqrt{5}}\)
bài 1 : giải phương trình:
a. \(\sqrt{x+2\sqrt{ }x-1}=2\)
b. \(\sqrt{x^2-4x+4}=\sqrt{4x^212x+9}\)
c.\(\sqrt{x+4\sqrt{ }x-4}=2\)
d. \(\sqrt{x^2-6x+9}=2\)
e. \(\sqrt{x^2-3x+2}=\sqrt{x-1}\)
f. \(\sqrt{4x^2-4x+1}=\sqrt{x^2-6x+9}\)
Tính:
a.\(\sqrt{4+\sqrt{7}}\) - \(\sqrt{4-\sqrt{7}}\)
b.\(\sqrt{4-\sqrt{15}}\) - \(\sqrt{4+\sqrt{15}}\)
c.\(\sqrt{2+\sqrt{3}}\) + \(\sqrt{2-\sqrt{3}}\)
d.\(\sqrt{9+\sqrt{17}}\) - \(\sqrt{9-\sqrt{17}}\)
Mong mn giúp em bài này ạ .Em đang cần gấp !!
a) \(\sqrt{4x^2-9}=2\sqrt{x+3}\)
b) \(\sqrt{4x+20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
c) \(\dfrac{2}{3}\sqrt{9x-9}-\dfrac{1}{4}\sqrt{16x-16}+27\sqrt{\dfrac{x-1}{81}}=4\)
d)\(5\sqrt{\dfrac{9x-27}{25}}-7\sqrt{\dfrac{4x-12}{9}}-7\sqrt{x^2-9}+18\sqrt{\dfrac{9x^2-81}{81}}=0\)
Bài 3: Thực hiện các phép tính sau:
a) \(\sqrt{24+8\sqrt{5}}+\sqrt{9-4\sqrt{5}}\)
b) \(\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}\)
c) \(\sqrt{6-4\sqrt{2}}+\)\(\sqrt{22-12\sqrt{2}}\)
hộ mk với
Tính: \(B=\frac{\sqrt[3]{9}-\sqrt{2}}{\sqrt[3]{3}+\sqrt[4]{2}}+\frac{\sqrt{2}-9\sqrt[3]{9}}{\sqrt[4]{2}-3\sqrt{81}}\)
Thực hiện phép tính:
a, M = \(\sqrt{9+4\sqrt{5}}\) - \(\sqrt{9-4\sqrt{5}}\)
b, N = \(\sqrt{8-2\sqrt{7}}\) - \(\sqrt{8+2\sqrt{7}}\)
Tính :
\(B=\frac{\sqrt[3]{9}-\sqrt{2}}{\sqrt[3]{3}+\sqrt[4]{2}}+\frac{\sqrt{2}-9\sqrt[3]{9}}{\sqrt[4]{2}-3\sqrt{81}}\)
cho x=\(\left(\dfrac{\sqrt[3]{8-3\sqrt{5}}+\sqrt[3]{64-12\sqrt{20}}}{\sqrt[3]{57}}\right)\sqrt[3]{8+3\sqrt{5}}\);y=\(\left(\dfrac{\sqrt[3]{9}-\sqrt{2}}{\sqrt[3]{3}+\sqrt[4]{2}}+\dfrac{\sqrt{2}-9\sqrt[3]{9}}{\sqrt[4]{2}-\sqrt[3]{81}}\right)\)
a rút gọn x và y
b tính T = xy
Rút gọn:
A=\(\left(\dfrac{2\sqrt{3}-\sqrt{6}}{\sqrt{8}-2}-\dfrac{\sqrt{216}}{3}\right).\dfrac{1}{\sqrt{6}}\)
B=\(\sqrt{9+4\sqrt{5}}+\sqrt{9-4\sqrt{5}}\)