Thực hiện các phép tính sau đây
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Bài 4: Thực hiện các phép tính sau đây:
a. \( \sqrt{75} - \frac{1}{\sqrt{3}} + \frac{9}{2\sqrt{2}} + 2\sqrt{27} \)
b. \( \sqrt{48} + \left( \frac{1}{3} \sqrt{5} + 2\sqrt{75} - 5 \right) \frac{1}{3} \)
c. \( \left( \sqrt{12} + 2\sqrt{27} \right) \frac{\sqrt{3}}{2} - \sqrt{150} \)
d. \( \left(\sqrt{18} + 0.5 - 3 \right) \left( \frac{1}{\sqrt{8}} \sqrt{75} \right) \)
e. \( \left( \sqrt{15} + 2\sqrt{3} \right)^3 + 12\sqrt{5} \)
f. \( \left( \sqrt{6} + 2\sqrt{3} - \sqrt{2} \right) \)
g. \( \left( \sqrt{3} + 1 \right)^2 - 2\sqrt{3} + 4 \)
h. \( \left( 1 + \sqrt{2} - \sqrt{3} \right) \left( \sqrt{2} + 3 \right) \)
i. \( \left( 1 + 2\sqrt{3} - \sqrt{2} \right) \left( 1 + 2\sqrt{3} \right) \)
j. \( \left( 1 - \sqrt{3} \right) \left( 1 + 2\sqrt{3} \right) \)
k. \( \left( 1 - \sqrt{3} \right) \left( 1 + 2\sqrt{2} \right) \)
l. \( \frac{1}{7 + 4\sqrt{3} - 7 - 4\sqrt{3}} \)
m. \( 1 - \left( \frac{\sqrt{3} - 1}{2} \right) \left( \frac{\sqrt{3} - 2}{2} + 2 \right) \)
n. \( \left( \sqrt{3} - 2\sqrt{2} \right) \left( \sqrt{3} + \sqrt{2} \right) \)
o. \( \sqrt{5 - 2} / (5 + 2\sqrt{5}) \)
p. \( 3 + \frac{2\sqrt{2}}{\sqrt{3}} - \left( \sqrt{3} + 2 \right) \)
q. \( \frac{\left( \sqrt{3} - \sqrt{2} \right) \left( \sqrt{3} + \sqrt{2} \right)}{\left( \sqrt{3} - \sqrt{2} \right) / \left( \sqrt{3} + \sqrt{2} \right)} \)
r. \( \frac{3 + 2\sqrt{3}}{\sqrt{3}} + \frac{2 + \sqrt{2}}{\sqrt{2} + 1} - \left( \sqrt{3} + 2 \right) \)
Bài 4: Thực hiện các phép tính sau đây:
a. \( \sqrt{75} - \frac{1}{\sqrt{3}} + \frac{9}{2\sqrt{2}} + 2\sqrt{27} \)
b. \( \sqrt{48} + \left( \frac{1}{3} \sqrt{5} + 2\sqrt{75} - 5 \right) \frac{1}{3} \)
c. \( \left( \sqrt{12} + 2\sqrt{27} \right) \frac{\sqrt{3}}{2} - \sqrt{150} \)
d. \( \left(\sqrt{18} + 0.5 - 3 \right) \left( \frac{1}{\sqrt{8}} \sqrt{75} \right) \)
e. \( \left( \sqrt{15} + 2\sqrt{3} \right)^3 + 12\sqrt{5} \)
f. \( \left( \sqrt{6} + 2\sqrt{3} - \sqrt{2} \right) \)
g. \( \left( \sqrt{3} + 1 \right)^2 - 2\sqrt{3} + 4 \)
h. \( \left( 1 + \sqrt{2} - \sqrt{3} \right) \left( \sqrt{2} + 3 \right) \)
i. \( \left( 1 + 2\sqrt{3} - \sqrt{2} \right) \left( 1 + 2\sqrt{3} \right) \)
j. \( \left( 1 - \sqrt{3} \right) \left( 1 + 2\sqrt{3} \right) \)
k. \( \left( 1 - \sqrt{3} \right) \left( 1 + 2\sqrt{2} \right) \)
l. \( \frac{1}{7 + 4\sqrt{3} - 7 - 4\sqrt{3}} \)
m. \( 1 - \left( \frac{\sqrt{3} - 1}{2} \right) \left( \frac{\sqrt{3} - 2}{2} + 2 \right) \)
n. \( \left( \sqrt{3} - 2\sqrt{2} \right) \left( \sqrt{3} + \sqrt{2} \right) \)
o. \( \sqrt{5 - 2} / (5 + 2\sqrt{5}) \)
p. \( 3 + \frac{2\sqrt{2}}{\sqrt{3}} - \left( \sqrt{3} + 2 \right) \)
q. \( \frac{\left( \sqrt{3} - \sqrt{2} \right) \left( \sqrt{3} + \sqrt{2} \right)}{\left( \sqrt{3} - \sqrt{2} \right) / \left( \sqrt{3} + \sqrt{2} \right)} \)
r. \( \frac{3 + 2\sqrt{3}}{\sqrt{3}} + \frac{2 + \sqrt{2}}{\sqrt{2} + 1} - \left( \sqrt{3} + 2 \right) \)