√18 - 2√32 + 3√50 -4√8
√32+√50-2√8 + 1/3√18
\(\sqrt{32}+\sqrt{50}-2\sqrt{8}+\dfrac{1}{3}\sqrt{18}\)
\(=\sqrt{4^2\cdot2}+\sqrt{5^2\cdot2}-2\cdot2\sqrt{2}+\dfrac{1}{3}\cdot\sqrt{3^2\cdot2}\)
\(=4\sqrt{2}+5\sqrt{2}-4\sqrt{2}+\dfrac{1}{3}\cdot3\sqrt{2}\)
\(=\left(4\sqrt{2}-4\sqrt{2}\right)+5\sqrt{2}+\sqrt{2}\)
\(=5\sqrt{2}+\sqrt{2}\)
\(=6\sqrt{2}\)
6. 3 căn 12-4 căn 27+5 căn 48
7. căn 12+5 căn 3-căn 48
8. 2 căn 32+4 căn 8-5 căn 18
9. 3 căn 20-2 căn 45+4 căn 5
10. 2 căn 24-2 căn 54+3 căn 6-căn 150
11. 2 căn 18-7 căn 2+căn 162
12. 3 căn 8-4 căn 18+5 căn 32-căn 50
13. căn 125-2 căn 20-3 căn 80+4 căn 45
14. 2 căn 28+2 căn 63-3 căn 175+căn 112
15. 3 căn 2+căn 8+1/2 căn 50-căn 32
16. 3 căn 50-2 căn 12-căn 18+căn 75-căn 8
17. 2 căn 75-3 căn 12+căn 27
18. căn 12+căn 75-căn 27
19. căn 27-căn 12+căn 75+căn 147
20. 2 căn 3+căn 48-căn 75-căn 243
6: \(=3\cdot2\sqrt{3}-4\cdot3\sqrt{3}+5\cdot4\sqrt{3}=14\sqrt{3}\)
7: \(=2\sqrt{3}+5\sqrt{3}-4\sqrt{3}=3\sqrt{3}\)
8: \(=2\cdot4\sqrt{2}+4\cdot2\sqrt{2}-5\cdot3\sqrt{2}=\sqrt{2}\)
9: \(=3\cdot2\sqrt{5}-2\cdot3\sqrt{5}+4\sqrt{5}=4\sqrt{5}\)
10: \(=2\cdot2\sqrt{6}-2\cdot3\sqrt{6}+3\sqrt{6}-5\sqrt{6}=-4\sqrt{6}\)
rút gọn các câu sau
a,\(2\sqrt{18}-4\sqrt{50}+3\sqrt{32}\)
b,\(\sqrt{\left(\sqrt{8}-4\right)^2}+\sqrt{8}\)
c,\(\sqrt{14-6\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
a) 2√18 - 4√50 + 3√32
= 6√2 - 20√2 + 12√2
= -2√2
b) √(√8 - 4)² + √8
= 4 - √8 + √8
= 4
c) √(14 - 6√5) + √(6 + 2√5)
= √(3 - √5)² + √(√5 + 1)²
= 3 - √5 + √5 + 1
= 4
\(a,2\sqrt{18}-4\sqrt{50}+3\sqrt{32}\\ =6\sqrt{2}-20\sqrt{2}+12\sqrt{2}=-2\sqrt{2}\\ b,\sqrt{\left(\sqrt{8}-4\right)^2}+\sqrt{8}\\ =4-\sqrt{8}+\sqrt{8}\\ =4\\ c,\sqrt{14-6\sqrt{5}}+\sqrt{6+2\sqrt{5}}\\ =\sqrt{\left(3+\sqrt{5}\right)^2}+\sqrt{\left(\sqrt{5}+1\right)^2}=3+\sqrt{5}+\sqrt{5}+1\\ =4+2\sqrt{5}\)
Thực hiện phép tính: a) √(√2-√3)^+√18 b)3.√2-4√18+2√32-√50
\(a.\sqrt{\left(\sqrt{2}-\sqrt{3}\right)^2}+\sqrt{18}=\left|\sqrt{2}-\sqrt{3}\right|+3\sqrt{2}=\sqrt{3}-\sqrt{2}+3\sqrt{2}\left(\sqrt{3}>\sqrt{2}\right)=\sqrt{3}+2\sqrt{2}\)\(b.3\sqrt{2}-4\sqrt{18}+2\sqrt{32}-\sqrt{50}=3\sqrt{2}-12\sqrt{2}+8\sqrt{2}-5\sqrt{2}=-6\sqrt{2}\)
Đúng ghi Đ, sai ghi S:
a) 32 : 4 : 2 = 8 : 2 = 4
32 : 4 : 2 = 32 : 2 = 16
b) 18 : 2 x 3 = 18 : 6 = 3
18 : 2 x 3 = 9 x 3 = 18
a) 32 : 4 : 2 = 8 : 2 = 4
32 : 4 : 2 = 32 : 2 = 16
b) 18 : 2 x 3 = 18 : 6 = 3
18 : 2 x 3 = 9 x 3 = 18
Thực hiện phép tính: A)√(√2-√3)mũ 2 +√18 B)3.√2-4√18+2√32-√50
a: \(=\sqrt{3}-\sqrt{2}+3\sqrt{2}=2\sqrt{2}+\sqrt{3}\)
bài5
a, 20 - [30 - (5 - 1)2 ]
b, 71 + 50 : [5 + 3. (57 - 6.7)]
c, 4.{270 : [50 - (25 + 45 : 5)]}
d. 411 - [(107 + 3) : 5 - 22 ]
e, 450 - 5. [32. (75 : 73 - 41) - 12] + 18
f, 102 - 150 : [18 - 2. (10 - 8)2 ] + 10180
a: \(20-\left[30-\left(5-1\right)^2\right]\)
\(=20-\left[30-4^2\right]\)
\(=20-14=6\)
b: \(71+\dfrac{50}{5+3\left(57-6\cdot7\right)}\)
\(=71+\dfrac{50}{5+3\cdot\left(57-42\right)}\)
\(=71+\dfrac{50}{5+3\cdot15}=71+\dfrac{50}{50}=72\)
c: \(4\cdot\left\{270:\left[50-\left(2^5+45:5\right)\right]\right\}\)
\(=4\cdot\left\{270:\left[50-32-9\right]\right\}\)
\(=4\cdot\left\{\dfrac{270}{50-41}\right\}=4\cdot\dfrac{270}{9}=4\cdot30=120\)
d: \(411-\left[\dfrac{\left(107+3\right)}{5}-2^2\right]\)
\(=411-\left[\dfrac{110}{5}-4\right]\)
=410-22+4
=410-18
=392
e: \(450-5\left[3^2\left(7^5:7^3-41\right)-12\right]+18\)
\(=450-5\left[9\cdot\left(7^2-41\right)-12\right]+18\)
\(=450-5\cdot\left[9\cdot8-12\right]+18\)
=468-5*60
=468-300
=168
f:
\(102-150:\left[18-2\cdot\left(10-8\right)^2\right]+1018^0\)
\(=102-150:\left[18-2\cdot4\right]+1\)
\(=103-\dfrac{150}{18-8}=103-15=88\)
Rút gọn psố: 2×4+2×4×8+4×8×16+8×18×32 phần 3×3+2×6×8+4×12×16+8×24×32
a) 12√2 + 5√18 - 3√50 - 2√32 b) √4+2√3 + √(√3-5) mũ 2 (Tính)
a: \(=12\sqrt{2}+5\cdot3\sqrt{2}-3\cdot5\sqrt{2}-2\cdot4\sqrt{2}\)
\(=12\sqrt{2}-8\sqrt{2}=4\sqrt{2}\)
b: \(=\sqrt{\left(\sqrt{3}+1\right)^2}+\sqrt{\left(5-\sqrt{3}\right)^2}\)
\(=\sqrt{3}+1+5-\sqrt{3}\)
=6
1 200-18 :(372:3 *x-1)-28=166
(7*13+8*13):(9va2/3-x)=39
x=(6va3/5:s6-0,125 *8+2va2/15*0,03)*11/4
(100-99+98-97+96-95+....+4-3+2-1):50 +2010-12*x=91
2 A= 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
B=27.45+27.55/2+4+...+16+18