a)
b) √4,5− 1/2√72+5√1/2
A. (1-1/2)×(1-1/3)×(1-1/4)×(1-1/5)×... (1-1/19)×(1-1/20)
B.(100+67)×67+(200-33)×33
C.72+36×2+24×3+18×4+12×6+168
D.(8,27+7,16+9,33)-(7,27+6,16+8,33)
E.1,5+2,5+3,5+4,5+...+8,5
\(\sqrt{72}-\sqrt{5\dfrac{1}{3}}+4,5\cdot\sqrt{2\dfrac{2}{3}}+2\sqrt{27}\)
Tính
\(=6\sqrt{2}+\sqrt{\dfrac{16}{3}}+\dfrac{9}{2}\cdot\sqrt{\dfrac{8}{3}}+6\sqrt{3}\)
\(=6\sqrt{2}+\dfrac{4}{3}\sqrt{3}+3\sqrt{6}+6\sqrt{3}\)
\(=6\sqrt{2}+3\sqrt{6}+\dfrac{22}{3}\sqrt{3}\)
rút gọn
a.\(5\sqrt{\dfrac{1}{5}}+\dfrac{1}{2}\sqrt{20}+\sqrt{5}\)
b.\(\sqrt{\dfrac{1}{2}}+\sqrt{4,5}+\sqrt{12,5}\)
c.\(\sqrt{20}-\sqrt{45}+3\sqrt{18}+\sqrt{72}\)
d.\(0,1.\sqrt{200}+2.\sqrt{0,08}+0,4.\sqrt{50}\)
a, \(5\sqrt{\dfrac{1}{5}}+\dfrac{1}{2}\sqrt{20}+\sqrt{5}\)
\(=\sqrt{5}+\dfrac{1}{2}.2\sqrt{5}+\sqrt{5}\)
\(=3\sqrt{5}\)
b, \(\sqrt{\dfrac{1}{2}}+\sqrt{4,5}+\sqrt{12,5}\)
\(=\sqrt{0,5}+3\sqrt{0,5}+5\sqrt{0,5}=9\sqrt{0,5}\)
c, \(\sqrt{20}-\sqrt{45}+3\sqrt{18}+\sqrt{72}\)
\(=2\sqrt{5}-3\sqrt{5}+3\sqrt{18}+2\sqrt{18}\)
\(=-\sqrt{5}+5\sqrt{18}\)
d, \(0,1.\sqrt{200}+2\sqrt{0,08}+0,4\sqrt{50}\)
\(=\sqrt{0,01.200}+0,2.\sqrt{2}+0,4.5\sqrt{2}\)
\(=\sqrt{2}+0,2\sqrt{2}+2\sqrt{2}=3,2\sqrt{2}\)
Chúc bạn học tốt!!!
Rút gọn các biểu thức sau :
a) \(5\sqrt{\dfrac{1}{5}}+\dfrac{1}{2}\sqrt{20}+\sqrt{5}\)
b) \(\sqrt{\dfrac{1}{2}}+\sqrt{4,5}+\sqrt{12,5}\)
c) \(\sqrt{20}-\sqrt{45}+3\sqrt{18}+\sqrt{72}\)
d) \(0,1\sqrt{200}+2.\sqrt{0,08}+0,4.\sqrt{50}\)
a, \(3\sqrt{5}\)
b, \(\dfrac{9\sqrt{2}}{2}\)
c, \(15\sqrt{2}-\sqrt{5}\)
d, \(\dfrac{17\sqrt{2}}{5}\)
Thực hiện phép tính: \(\left(\sqrt{4,5}-\frac{1}{2}\sqrt{72}+5\sqrt{\frac{1}{2}}\right)\left(42\sqrt{\frac{25}{6}}-10\sqrt{\frac{3}{2}}-12\sqrt{\frac{98}{3}}\right)\)
\(\left(\sqrt{4,5}-\frac{1}{2}.\sqrt{72}+5\sqrt{\frac{1}{2}}\right).\left(42\sqrt{\frac{25}{6}}-10\sqrt{\frac{3}{2}}-12\sqrt{\frac{98}{3}}\right)\)
=\(\left(\frac{3\sqrt{2}}{2}-3\sqrt{2}+\frac{5\sqrt{2}}{2}\right).\left(35\sqrt{6}-5\sqrt{6}-28\sqrt{6}\right)\)
=\(\left(\frac{3\sqrt{2}-6\sqrt{2}+5\sqrt{2}}{2}\right).2\sqrt{6}\)
=\(2\sqrt{2}.\sqrt{6}=4\sqrt{3}\)
Thực hiện phép tính: \(\left(\sqrt{4,5}-\frac{1}{2}\sqrt{72}+5\sqrt{\frac{1}{2}}\right)\left(42\sqrt{\frac{25}{6}}-10\sqrt{\frac{3}{2}}-12\sqrt{\frac{98}{3}}\right)\)
Bài 58 (trang 32 SGK Toán 9 Tập 1)
Rút gọn các biểu thức sau:
a) $5 \sqrt{\dfrac{1}{5}}+\dfrac{1}{2} \sqrt{20}+\sqrt{5}$ ; b) $\sqrt{\dfrac{1}{2}}+\sqrt{4,5}+\sqrt{12,5}$ ;
c) $\sqrt{20}-\sqrt{45}+3 \sqrt{18}+\sqrt{72}$ ; d) $0,1 . \sqrt{200}+2 \cdot \sqrt{0,08}+0,4 \cdot \sqrt{50}$.
TRẢ LỜI :
\(=\sqrt{5}+\sqrt{5}+\sqrt{5}=3\sqrt{5}\)
c) √20 - √45 + 3√18 + √72
= √4.5 - √9.5 + 3√9.2 + √36.2
= 2√5 - 3√5 + 9√2 + 6√2
= -√5 + 15√2
a) 3√5 b) 9√2 / 2
c) -√5 + 15√2 d)
3,4√2
a) .
b) hay .
c) .
d) .
A)5-1/3-4,5=
B)2- 3/5-4/5=
C)2/+1-4/5=
5-1/3-4/5=58/15
2-3/5-4/5=3/5
2+1-4/5=11/5
A)5-1/3-4,5=
B)2-3/5-4/5=
C)2/5+1-4/5=
A.\(\frac{1}{6}\)
B.\(\frac{11}{5}\)
C.\(\frac{3}{5}\)