So sánh x;y biết rằng:
a) x= \(2\sqrt{7}\); y=\(3\sqrt{3}\)
b)x= \(6\sqrt{2}\); y= \(5\sqrt{3}\)
c) x= \(\sqrt{31}-\sqrt{13}\); y = 6- \(\sqrt{11}\)
So sánh x và y
1) x = \(2\sqrt{7}\);y = \(3\sqrt{3}\)
2) x = \(6\sqrt{2}\);y= \(5\sqrt{3}\)
3) x= \(\sqrt{31}\)- \(\sqrt{13}\); y = 6- \(\sqrt{11}\)
Bài 1: Tìm x; y ϵ \(ℤ\)
a) 2x - y\(\sqrt{6}\) = 5 + (x + 1)\(\sqrt{6}\)
b) 5x + y - (2x -1)\(\sqrt{7}\) = y\(\sqrt{7}\) + 2
Bài 2: So sánh M và N
M = \(\dfrac{\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{3}{7}-\dfrac{3}{11}}{\dfrac{6}{4}+\dfrac{6}{5}+\dfrac{6}{7}-\dfrac{6}{11}}\)
N = \(\dfrac{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{7}-\dfrac{2}{11}}{\dfrac{6}{2}+\dfrac{6}{5}-\dfrac{6}{7}-\dfrac{6}{11}}\)
Bài 3: Chứng minh:
\(\dfrac{1}{2!}+\dfrac{1}{3!}+\dfrac{1}{4!}+...+\dfrac{1}{2023!}< 1\)
1) So sanh
\(\frac{7}{\sqrt{1}}+\frac{7}{\sqrt{2}}+\frac{7}{\sqrt{3}}+...+\frac{7}{\sqrt{90}}+\frac{7}{\sqrt{100}}.\)va 70
2)Tinh
\(\frac{1}{x^2+3x+2}+\frac{2x}{x^3+4x^2+4x}+\frac{1}{x^2+5x+6}\)
So sánh x và y, biết:
a, x = 2 . \(\sqrt{7}\) ; y = 3 . \(\sqrt{3}\)
b, x = 6 . \(\sqrt{2}\) ; y = 5 . \(\sqrt{3}\)
c, x = \(\sqrt{31}\)- \(\sqrt{13}\) ; y = 6 - \(\sqrt{11}\)
So sánh x,y (ko dùng máy tính cầm tay)
x=\(\sqrt{3}\)+ \(\sqrt{5}\)
y=\(\sqrt{2}\)+ \(\sqrt{6}\)
so sanh
a) 2^90 va 5^36
b) 99^200 va 9999^100
c) 2^150 va 3^100
d) \(\sqrt{26+2}\) va \(\sqrt{26}\)+ \(\sqrt{2}\)
bai 1 : tinh
\(\sqrt{49}\); \(\sqrt{-49}\) ; \(\sqrt{0,01}\)
bai 2 : so sanh
a,15 va \(\sqrt{235}\)
b,\(\sqrt{7}\)+ \(\sqrt{15}\)va 7
bai 3 ; tinh hop ly
A = 7,3.10,5-7,3.15+2,7.10,5-15.2,7
bai 4 : so sanh
a, 1,(05) va 0,(31)
b, 3,0(21) va 3,021
c,0,001 va 0,(001)
d,1,(31) va 1,(313)
a,-12:(3/4-5/6)^2
,b,10.\(\sqrt{0.01}.\sqrt{\dfrac{16}{9}+3\sqrt{49}-\dfrac{1}{6}\sqrt{4}}\)
c,x/6=y/3=z/2 và x-2y+4z=8
d,|1/4+x|-1/3=2/5