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Number Systems ...

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  • Question 1
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    Simplify:

    $$7\sqrt{48}-\sqrt{72}-\sqrt{27}+3\sqrt{2}$$

  • Question 2
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    Insert two irrational numbers between $$5$$ and $$6$$.

  • Question 3
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    Simplify 

    $$\displaystyle 4\sqrt{12}-\sqrt{75}-7\sqrt{48}$$

  • Question 4
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    Which of the following is an irrational number?

  • Question 5
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    Find the product of following with its conjugate pair. 

    $$\displaystyle \sqrt{5} + 1$$

  • Question 6
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    Give an example of two irrational numbers, whose sum is an irrational number.

  • Question 7
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    Give an example of two irrational numbers, whose difference is an irrational number.

  • Question 8
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    Give an example of two irrational numbers, whose sum is a rational number.

  • Question 9
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    Give an example of two irrational numbers, whose difference is a rational number.

  • Question 10
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    Which of the following is not a rational number?

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