Thực hiện phép tính: A)√(√2-√3)mũ 2 +√18 B)3.√2-4√18+2√32-√50
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\(a.\sqrt{\left(\sqrt{2}-\sqrt{3}\right)^2}+\sqrt{18}=\left|\sqrt{2}-\sqrt{3}\right|+3\sqrt{2}=\sqrt{3}-\sqrt{2}+3\sqrt{2}\left(\sqrt{3}>\sqrt{2}\right)=\sqrt{3}+2\sqrt{2}\)\(b.3\sqrt{2}-4\sqrt{18}+2\sqrt{32}-\sqrt{50}=3\sqrt{2}-12\sqrt{2}+8\sqrt{2}-5\sqrt{2}=-6\sqrt{2}\)
a) 5. 42 - 18 : 32 = 5 . 16 -18 : 9 = 80 - 2 = 78
b) 33 .18 -33 .12 = 33 . 6 = 27 .6 = 162
c) 39 . 213 + 87 . 39 = 39 . ( 213 + 87 ) = 39 . 300 = 11700
d) 80 - [ 130 - ( 12 - 4 ) .2 ] = 80 - (130 - 8.2 ) = 80 - 114 = -34
OK
a: \(160-\left(2^3\cdot5^2-6\cdot25\right)\)
\(=160-\left(8\cdot25-150\right)\)
=160-(200-150)
=160-50
=110
\(=2\cdot5\cdot11\)
b: \(4\cdot5^2-32:2^4=4\cdot25-32:16=100-2=98=2\cdot7^2\)
c: \(5871:\left\lbrack928-\left(247-82\cdot5\right)\right\rbrack\)
\(=5871:\left\lbrack928-\left(247-410\right)\right\rbrack\)
=5871:[928-247+410]
=5871:1091
d: \(777:7+1331:11^3=111+1=112=2^4\cdot7\)
e: \(6^2:4\cdot3+2\cdot5^2=36:4\cdot3+2\cdot25\)
=27+50
=77
\(=7\cdot11\)
g: \(5\cdot4^2-18:3^2=5\cdot16-18:9=80-2=78=2\cdot3\cdot13\)
h: \(80-\left(4\cdot5^2-3\cdot2^3\right)=80-\left(4\cdot25-3\cdot8\right)\)
=80-(100-24)
=80-76
=4
=2^2
i: \(23\cdot75+25\cdot23+180\)
\(=23\left(75+25\right)+180\)
=2300+180
=2480
\(=2^4\cdot5\cdot31\)
k: \(2^4\cdot5-\left\lbrack131-\left(13-4\right)^2\right\rbrack\)
\(=16\cdot5-\left\lbrack131-81\right\rbrack\)
=80-50
=30
=2*3*5
m: 100:{250:[450-\(\left(4\cdot5^3-2^2\cdot25\right)\) ]}
=100:{250:[450-\(\left(4\cdot125-4\cdot25\right)\) ]}
=100:{250:[450-500+100]}
=100:{250:50}
=100:5
=20
=2^2*5
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
a)\(\left(-3\right).8.\left(-2\right).5=\left(-3\right).\left(-2\right).8.5\)
\(=6.40=240\)
b)\(127-18.\left(5+6\right)=127-18.11\)
\(=127-198=-71\)
c)\(125-\left(-75\right)+32-\left(48+32\right)=125+75+32-48-32\)
\(\left(125+75\right)+\left(32-32\right)-48=200-48=152\)
d)\(3.\left(-4\right).2+2.\left(-5\right)-20=-12.2+2.\left(-5\right)-20\)
\(=\left(-12-5\right).2-20=-17.2-20=-140-20=-160\)
Chúc bạn học tốt
a, 20^2 - 6^ 2= 400 - 36 = 364
b,3^3 . 18 - 3^3 . 12 = 3^3 . ( 18-12) = 27 . 6 = 162
c, 39 . 213 + 87 . 39 = ( 213 + 87) . 39 = 300 . 39 = 110700
d, 80 - [ 130 - ( 12 - 4)^2] = 80 - [130 - (3^2) ] = 80 - 130 - 9 = -59
\(98.42-50\left[\left(18-2^3\right):2+3^2\right]\\ =4116-50\left[\left(18-8\right):2+9\right]\\ =4116-50\left[10:2+9\right]\\ =4116-50\left[5+9\right]\\ =4116-50.14\\ =4116-700\\ =3416\)
98.42-50.[(18-23):2 +32]
=98.42-50.[(18-8):2+32]
=98.42-50.[10:2+3]
=98.42-50.[5+3]
=98.42-50.8
= 4116-400
=3716
a) \(6^2:4\times3+2\times5^2\)
\(=36:4\times3+2\times25\)
\(=9\times3+50\)
\(=27+50\)
\(=77\)
b) \(125+70+375+230\)
\(=\left(125+375\right)+\left(70+230\right)\)
\(=500+300\)
\(=800\)
c) \(150:\left[25\times\left(18-4^2\right)\right]\)
\(=150:\left[25\times\left(18-16\right)\right]\)
\(=150:\left[25\times2\right]\)
\(=150:50\)
\(=3\)
a: \(=\sqrt{3}-\sqrt{2}+3\sqrt{2}=2\sqrt{2}+\sqrt{3}\)