a) \(A=\left(\dfrac{1}{2}\sqrt{48}-3\sqrt{27}+\sqrt{12}\right):\sqrt{3}\)
\(A=\left(\dfrac{1}{2}\cdot4\sqrt{3}-3\cdot3\sqrt{3}+2\sqrt{3}\right):\sqrt{3}\)
\(A=\left(2\sqrt{x}-9\sqrt{3}+2\sqrt{3}\right):\sqrt{3}\)
\(A=-5\sqrt{3}:\sqrt{3}\)
\(A=-5\)
b) \(B=2\sqrt{\left(2-\sqrt{7}\right)^2}-\sqrt{\left(3-\sqrt{7}\right)^2}\)
\(B=2\left|2-\sqrt{7}\right|-\left|3-\sqrt{7}\right|\)
\(B=-2\left(2-\sqrt{7}\right)-\left(3-\sqrt{7}\right)\)
\(B=-4+2\sqrt{7}-3+\sqrt{7}\)
\(B=3\sqrt{7}-7\)
c) \(C=\dfrac{4}{\sqrt{11}-3}-\dfrac{5}{4+\sqrt{11}}\)
\(C=\dfrac{4\left(\sqrt{11}+3\right)}{\left(\sqrt{11}-3\right)\left(\sqrt{11}+3\right)}-\dfrac{5\left(4-\sqrt{11}\right)}{\left(4+\sqrt{11}\right)\left(4-\sqrt{11}\right)}\)
\(C=\dfrac{4\left(\sqrt{11}+3\right)}{11-9}-\dfrac{5\left(4-\sqrt{11}\right)}{16-11}\)
\(C=\dfrac{4\left(\sqrt{11}+3\right)}{2}-\dfrac{5\left(4-\sqrt{11}\right)}{5}\)
\(C=2\sqrt{11}+6-4+\sqrt{11}\)
\(C=3\sqrt{11}+2\)
d) \(D=2\sqrt{52}-\sqrt{\left(\sqrt{13}-4\right)^2}-\dfrac{9}{\sqrt{13}-2}\)
\(D=2\sqrt{13}-\left|\sqrt{13}-4\right|-\dfrac{9\left(\sqrt{13}+2\right)}{\left(\sqrt{13}-2\right)\left(\sqrt{13}+2\right)}\)
\(D=2\sqrt{13}+\sqrt{13}-4-\sqrt{13}-2\)
\(D=2\sqrt{13}-6\)
a: \(=\dfrac{\left(\dfrac{1}{2}\cdot4\sqrt{3}-3\cdot3\sqrt{3}+2\sqrt{3}\right)}{\sqrt{3}}\)
=1/2*4-3*3+2
=2+2-9
=-5
b: \(=2\cdot\left(\sqrt{7}-2\right)-3+\sqrt{7}\)
=2căn 7-4-3+căn 7
=3căn 7-7
c: \(=\dfrac{4\left(\sqrt{11}+3\right)}{11-9}-\dfrac{5\left(4-\sqrt{11}\right)}{16-11}\)
\(=2\sqrt{11}+6-4+\sqrt{11}=3\sqrt{11}+2\)
d: \(=4\sqrt{13}-4+\sqrt{13}-\dfrac{9\left(\sqrt{13}+2\right)}{13-4}\)
\(=5\sqrt{13}-4-\sqrt{13}-2=4\sqrt{13}-6\)
giúp e vs ạ ;-;
giúp e vs ạ :<