\(\frac{1}{2-\sqrt{3}}-3=\frac{2+\sqrt{3}}{\left(2-\sqrt{3}\right)\left(2+\sqrt{3}\right)}-3=\frac{2+\sqrt{3}}{4-3}-3\)\(=2+\sqrt{3}-3=\sqrt{3}-1\)
rút gọn
A=\(\frac{\sqrt{3}-\sqrt{6}}{1-\sqrt{2}}-\frac{2+\sqrt{8}}{1+\sqrt{2}}\)
B=\(\left(1-\sqrt{5}\right)\left(\frac{\sqrt{5}+5}{2\sqrt{5}}\right)\)
C=\(\sqrt{4+\sqrt{7}}\)+\(\sqrt{4-\sqrt{7}}\)
D=\(2\sqrt{8}-4\sqrt{\left(\sqrt{2}+1\right)^2}\)
giup minh nhe các bạn
\(\frac{1+\frac{\sqrt{3}}{2}}{1+\sqrt{1+\frac{\sqrt{3}}{2}}}+\frac{1-\frac{\sqrt{3}}{2}}{1-\sqrt{1-\frac{\sqrt{3}}{2}}}\)
Hay cho minh thay canh tay cua may ban gioi toan naooooo
Tinh gia tri bieu thuc
cho 3 số a, b, c>0, và a+b+c=3. chứng minh rằng:
\(\frac{a^4}{\left(a+2\right)\left(b+2\right)}+\frac{b^4}{\left(b+2\right)\left(c+2\right)}+\frac{c^4}{\left(c+2\right)\left(a+2\right)}\ge\frac{1}{3}\)
giải giup minh nhe
\(\frac{\sqrt{3}}{\sqrt{\sqrt{3}+1}-1}-\frac{\sqrt{3}}{\sqrt{\sqrt{3}-1}+1}\)
bai nay bang may chi giup minh voi
chu y nho gi cach giai
tinh \(\frac{1}{\sqrt{2}-\sqrt{3}}.\sqrt{\frac{3\sqrt{2}-2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}}\) giup mik fai nop gap
\(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
tinh ho minh voi, thanks
khong tinh = may tinh cam tay hay c/m \(\frac{1+\frac{\sqrt{3}}{2}}{1+\sqrt{1+\frac{\sqrt{3}}{2}}}+\frac{1-\frac{\sqrt{3}}{2}}{1-\sqrt{1-\frac{\sqrt{3}}{2}}}=1\)
1. Giai phuong trinh Giup e vs mn oi
a) \(\sqrt{\frac{2x-3}{x-1}}\)= 2 ;
b) \(\sqrt{4x^2-9=2}\)\(\sqrt{2x+3}\)
c) 2\(\left(\sqrt{\frac{x-1}{4}-3}\right)\)= 2\(\sqrt{\frac{4x-4}{9}}\)-\(\frac{1}{3}\)
d) \(\frac{9x-7}{\sqrt{7}+5}\)= \(\sqrt{7x}+5\)
\(\frac{\sqrt{13+2\sqrt{11}}+\sqrt{13-2\sqrt{11}}}{\sqrt{13+5\sqrt{5}}}-\sqrt{3-2\sqrt{2}}\)
Giup minh voi
