Thực hiện phép tính √75+√48+√300
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Ta có: \(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)
\(=2\sqrt{3}+6\sqrt{3}+15\sqrt{3}-36\sqrt{3}\)
\(=-13\sqrt{3}\)
\(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\\ =2\sqrt{3}+6\sqrt{3}+15\sqrt{3}-36\sqrt{3}=-13\sqrt{3}\)
\(\frac{1}{2}\sqrt{72}+\frac{3}{4}\sqrt{48}+\sqrt{162}-\)\(\sqrt{75}\)
\(=\frac{1}{2}.6\sqrt{2}+\frac{3}{4}.4\sqrt{3}+9\sqrt{2}-5\sqrt{3}\)
\(=3\sqrt{2}+3\sqrt{3}+9\sqrt{2}-5\sqrt{3}\)
\(=12\sqrt{2}-2\sqrt{3}\)
Trước \(\sqrt{75}\)là dấu " - " hay dấu " -- " vậy? Nếu là dấu " -- " thì \(--\sqrt{75}\Rightarrow+\sqrt{75}\)nha
\(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)
\(=2\sqrt{3}+6\sqrt{3}+15\sqrt{3}-36\sqrt{3}\)
\(=-13\sqrt{3}\)
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
125 - ( - 75) + 32 - ( 48 + 32)
= 125 - ( - 75) + 32 - 80
= 200 + 32 - 80
= 232 - 80
= 152
3 . ( -4)2 + 2 . ( -5) - 20
= 3 . 16 + ( -10 ) - 20
= 48 + ( -10 ) - 20
= 38 - 20
= 18
a)=125+75+32-48-32
=(125+75)+(32-32)-48
=200+0-48
=152
b)=3.16-10-20
=48-(10+20)
=48-30
=18
a) \(P=\dfrac{\sqrt{3}+\sqrt{6}}{1+\sqrt{2}}=\dfrac{\left(\sqrt{3}+\sqrt{6}\right)\left(1-\sqrt{2}\right)}{\left(1+\sqrt{2}\right)\left(1-\sqrt{2}\right)}\)
\(=\dfrac{\sqrt{3}-\sqrt{6}+\sqrt{6}-\sqrt{12}}{1-2}=\sqrt{12}-\sqrt{3}\)
b) \(Q=\left(\sqrt{75}-\dfrac{3}{2}:\sqrt{3}-\sqrt{48}\right)\cdot\sqrt{\dfrac{16}{3}}\)
\(=\left(5\sqrt{3}-\dfrac{3}{2}\cdot\dfrac{1}{\sqrt{3}}-4\sqrt{3}\right)\cdot\dfrac{4}{\sqrt{3}}\)
\(=\sqrt{3}\left(5-\dfrac{1}{2}-4\right)\cdot\dfrac{4}{\sqrt{3}}\)
\(=\left(1-\dfrac{1}{2}\right)\cdot4=2\)
a) \(125-\left(-75\right)+32-\left(48+32\right)\)
\(=125+75+32-48-32\)
\(=200+\left(32-32\right)-48\)
\(=200+0-48\)
\(=200-48\)
\(=152\)
b) \(3.\left(-4\right)^2+2.\left(-5\right)-20\)
\(=3.16-10-20\)
\(=48-30\)
\(=18\)
c) \(-1685+\left(-2365\right)+569-1685\)
\(=\left(-1685-1685\right)-2365+569\)
\(=-3370-2365+569\)
\(=-5735+569\)
\(=-5166\)
\(\sqrt{75}+\sqrt{48}+\sqrt{300}\)
\(=5\sqrt{3}+4\sqrt{3}+10\sqrt{3}\)
\(=19\sqrt{3}\)