41). \( \Large \left(64\right)^{-\frac{2}{3}} \times \left(\frac{1}{4}\right)^{-2} \) is equal to:
A). 1 |
B). 2 |
C). \( \Large \frac{1}{2} \) |
D). \( \Large \frac{1}{16} \) |
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42). \( \Large \left(\frac{1+\sqrt{2}}{\sqrt{5}+\sqrt{3}}+\frac{1-\sqrt{2}}{\sqrt{5}-\sqrt{3}}\right) \) simplifie to:
A). \( \Large \sqrt{5}+\sqrt{6} \) |
B). \( \Large 2\sqrt{5}+\sqrt{6} \) |
C). \( \Large \sqrt{5}-\sqrt{6} \) |
D). \( \Large 2\sqrt{5}-3\sqrt{6} \) |
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43). \( \Large \left(\frac{2+\sqrt{3}}{2-\sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}}+\frac{\sqrt{3}-1}{\sqrt{3}+1}\right) \) simplifies to:
A). \( \Large 2-\sqrt{3} \) |
B). \( \Large 2+\sqrt{3} \) |
C). \( \Large 16-\sqrt{3} \) |
D). \( \Large 40-\sqrt{3} \) |
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44). \( \Large \left(\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\right)^{2}+ \left(\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\right)^{2} \) is equal to:
A). 64 |
B). 62 |
C). 66 |
D). 68 |
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45). \( \Large \left(6.5 \times 6.5-45.5+3.5 \times 3.5\right) \) is equal to:
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46). \( \Large \left(7.5 \times 7.5+37.5+2.5 \times 2.5\right) \)is equal to:
A). 100 |
B). 80 |
C). 60 |
D). 30 |
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47). \( \Large \left(36\right)^{\frac{1}{6}} \) is equal to:
A). 1 |
B). 6 |
C). \( \Large \sqrt{6} \) |
D). \( \Large \sqrt[3]{6} \) |
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48). \( \Large \left(\frac{8}{125}\right)^{-\frac{4}{3}}\)simplifies to:
A). \( \Large \frac{625}{16} \) |
B). \( \Large \frac{625}{8} \) |
C). \( \Large \frac{625}{32} \) |
D). \( \Large \frac{16}{625} \) |
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49). The value of \( \Large \left(256\right)^{0.16} \times \left(16\right)^{0.18} \) is:
A). 4 |
B). -4 |
C). 16 |
D). 256 |
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50). The value of \( \Large \sqrt{\frac{ \left(\sqrt{12}-\sqrt{8}\right) \left(\sqrt{3}+\sqrt{2}\right) }{5+\sqrt{24}}} \) is:
A). \( \Large \sqrt{6}-\sqrt{2} \) |
B). \( \Large \sqrt{6}+\sqrt{2} \) |
C). \( \Large \sqrt{6}-2 \) |
D). \( \Large 2-\sqrt{6} \) |
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