81). \( \Large \left(0.04\right)^{^{-1.5}} \) on simplification gives:
A). 25 |
B). 125 |
C). 250 |
D). 652 |
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82). \( \Large \frac{ \left(0.96\right)^{3}- \left(0.1\right)^{3} }{ \left(0.96\right)^{2}+0.096+ \left(0.1\right)^{2} } \) is simplified to:
A). 1.06 |
B). 0.95 |
C). 0.86 |
D). 0.97 |
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83). The value of \( \Large \frac{64-0.008}{16+0.8+0.04} \) is:
A). 2 |
B). 3.8 |
C). 0.6 |
D). 4.2 |
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84). When \( \Large \left(4+\sqrt{7}\right) \) is presented in the form of perfect square it will be equal to:
A). \( \Large \left(2+\sqrt{7}\right)^{2} \) |
B). \( \Large \left(\frac{\sqrt{7}}{2}+\frac{1}{2}\right)^{2} \) |
C). \( \Large \{ \frac{1}{\sqrt{2}} \left(\sqrt{7}+1\right) \}^{2} \) |
D). \( \Large \left(\sqrt{3}+\sqrt{4}\right)^{2} \) |
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85). The simplified form of \( \Large \frac{2}{\sqrt{7}+\sqrt{5}}+\frac{7}{\sqrt{12}-\sqrt{15}}-\frac{5}{\sqrt{12}-\sqrt{17}} \)
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86). \( \Large \left(\frac{1}{2}\right)^{\frac{1}{2}} \) is equal to:
A). \( \Large \frac{1}{\sqrt{2}} \) |
B). \( \Large 2\sqrt{2} \) |
C). \( \Large \sqrt{2} \) |
D). \( \Large 3 \sqrt{2} \) |
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87). \( \Large \frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{6}}+\frac{1}{\sqrt{6}+\sqrt{7}}+\frac{1}{\sqrt{7}+\sqrt{8}}+\frac{1}{\sqrt{8}+\sqrt{9}} \) is:
A). \( \Large \sqrt{3} \) |
B). \( \Large 3\sqrt{3} \) |
C). \( \Large 3-\sqrt{3} \) |
D). \( \Large 5-\sqrt{3} \) |
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88). \( \Large \left(16\right)^{0.16} \times \left(16\right)^{0.04} \times \left(2\right)^{0.2} \) is equal to:
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89). Simplify:\( \Large \frac{1}{\sqrt{100}-\sqrt{99}}-\frac{1}{\sqrt{99}-\sqrt{98}}+\frac{1}{\sqrt{98}-\sqrt{97}}-\frac{1}{\sqrt{97}-\sqrt{96}}+...+\frac{1}{\sqrt{2}-\sqrt{1}} \)
A). 10 |
B). 9 |
C). 13 |
D). 11 |
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90). \( \Large \left[ \frac{1}{\sqrt{2}+\sqrt{3}-\sqrt{5}}+\frac{1}{\sqrt{2}-\sqrt{3}-\sqrt{5}} \right] \) in simplified form equals to:
A). 1 |
B). \( \Large \sqrt{2} \) |
C). \( \Large \frac{1}{\sqrt{2}} \) |
D). 0 |
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