Rút gọn :
318:515
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= √5 + √5 + √5 = 3√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 6 = 3 : 3 6 : 3 = 1 2
b ) 30 60 = 30 : 30 60 : 60 = 1 2
c ) − 5 15 = ( − 5 ) : 5 15 : 5 = − 1 2
√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=33=27
\(B=\dfrac{2^{11}.9^2}{3^5.2^8}=\dfrac{2^{11}.3^4}{3^5.2^8}=\dfrac{2^3}{3}=\dfrac{8}{3}\)
3 x 5 = 15 15 : 3 = 5 15 : 5 = 3 | 3 x 6 = 18 18 : 3 = 6 18 : 6 = 3 | 3 x 8 = 24 24 : 3 = 8 24 : 8 = 3 |
c ) − 5 15 = ( − 5 ) : 5 15 : 5 = − 1 2 d ) − 12 − 24 = ( − 12 ) : ( − 12 ) ( − 24 ) : ( − 12 ) = 1 2
e ) 54 270 = 54 : 54 270 : 54 = 1 5 f ) − 12 − 28 = ( − 12 ) : ( − 4 ) ( − 28 ) : ( − 4 ) = 3 7
g ) − 18 − 27 = ( − 18 ) : ( − 9 ) ( − 27 ) : ( − 9 ) = 2 3 h ) 45 − 24 = 45 : ( − 3 ) ( − 24 ) : ( − 3 ) = − 15 8
a) 67+135+33=(67+33)+135=100+135=235
b) 277+13+323+87=(277+323)+(113+87)=600+200=800
c) 29+132 + 237 + 868 + 763=29+(132+868)+(237+763)=29+1000+1000=2029
d) 652 + 327 + 148 + 15 + 73=(652+148)+(327+73)+15=800+400+15=1215
e) 463 + 318 + 137 + 22=(463+137)+(318+22)=600+340=940
g) 189 + 424 +511 + 276 + 55=(189+511)+(424+276)+55=700+700+55=1455
h) (321 +27) + 79=(321+79)+27=400+27=427
i) 185+434+515+266+155=(185+515)+(434+266)+155=700+700+155=1555
k) 168 + 79 + 132=(168+132)+79=300+79=379
l) 29 + 132 + 237 + 868 + 763=29+(132+868)+(237+763)=29+1000+1000=2029
4:
a: \(\dfrac{\left(158-x\right)}{7}=20\)
=>\(158-x=7\cdot20=140\)
=>x=158-140=18
b: \(2x-138=23\cdot32\)
=>\(2x-138=736\)
=>2x=736+138=874
=>x=437
c: \(231-\left(x-6\right)=\dfrac{1339}{13}\)
=>\(231-\left(x-6\right)=103\)
=>x-6=128
=>x=128+6=134
d: \(10+2x=\dfrac{45}{43}\)
=>\(2x=\dfrac{45}{43}-10=-\dfrac{385}{43}\)
=>\(x=-\dfrac{385}{43}:2=-\dfrac{385}{86}\)
e: \(70-5\left(2x-3\right)=45\)
=>\(5\left(2x-3\right)=70-45=25\)
=>2x-3=5
=>2x=8
=>x=4
g: \(156-\left(x+61\right)=82\)
=>x+61=156-82=74
=>x=74-61=13
\(3^{18}=\left(3^6\right)^3:\left(5^5\right)^3=729^3:3125^3=\left(\dfrac{729}{3125}\right)^3\)
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