21). The value of \( \Large\sqrt{5+2\sqrt{6}} \)-\( \Large \frac{1}{\sqrt{5+2\sqrt{6}}} \) is:
A). \( \Large 2\sqrt{2} \) |
B). \( \Large 2\sqrt{3} \) |
C). \( \Large 1+\sqrt{5} \) |
D). \( \Large \sqrt{5}-1\) |
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22). The value of \( \Large \sqrt{2^{4}}+\sqrt[3]{64}+\sqrt[4]{2^{8}} \) is:
A). 12 |
B). 16 |
C). 18 |
D). 24 |
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23). \( \Large 2\sqrt[3]{32}-3\sqrt[3]{4}+\sqrt[3]{500} \) is equal to:
A). \( \Large 4\sqrt[3]{6} \) |
B). \( \Large \sqrt[3]{24} \) |
C). \( \Large 6\sqrt[3]{4} \) |
D). 961 |
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24). Simplify: \( \Large \left[ \frac{\frac{3}{2+\sqrt{3}}-\frac{2}{2-\sqrt{3}}}{2-5\sqrt{3}} \right]\)
A). \( \Large \frac{1}{2}-5\sqrt{3} \) |
B). \( \Large 2-5\sqrt{3} \) |
C). 1 |
D). 0 |
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25). The value of \( \Large \left(243\right) ^{0.16} \times \left(243\right)^{0.04} \) is equal to:
A). 0.16 |
B). 3 |
C). \( \Large \frac{1}{3} \) |
D). 0.04 |
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26). The value of \( \Large \left(256\right) ^{0.16} \times \left(256\right)^{0.09} \) is:
A). 256.25 |
B). 64 |
C). 16 |
D). 4 |
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27). The simplification of \( \Large \frac{0.06 \times 0.06 \times 0.06-0.05 \times 0.05 \times 0.05}{0.06 \times 0.06+0.06 \times 0.05+0.05 \times 0.05} \)
A). 1 |
B). 0.1 |
C). 0.01 |
D). 0.001 |
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28). Simplify \( \Large \frac{0.05 \times 0.05 \times 0.05-0.04 \times 0.04 \times 0.04}{0.05 \times 0.05+0.002+0.04 \times 0.04} \)
A). 1 |
B). 0.1 |
C). 0.01 |
D). 0.001 |
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29). Simplify \( \Large \frac{5.32 \times 56+5.32 \times 44 }{ \left(7.66^{2}\right)- \left(2.34\right)^{2} } \)
A). 7.2 |
B). 8.5 |
C). 10 |
D). 12 |
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30). Which one of the following is least?\( \Large \sqrt{3},\sqrt[3]{2},\sqrt{2},\sqrt[3]{4} \)
A). \( \Large \sqrt{2} \) |
B). \( \Large \sqrt[3]{2} \) |
C). \( \Large \sqrt{3} \) |
D). \( \Large \sqrt[3]{4} \) |
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