Important Questions of Real Numbers Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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21.

Prove that square root of 5 is irrational.

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22.

Prove that space 3 plus 2 square root of 5is irrational.

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23. Prove that the following are irrational:

(i)  fraction numerator 1 over denominator square root of 2 end fraction
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24. Prove that the following are irrational:

(ii)  7 square root of 5
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25. Prove that the following are irrational:

(iii)    6 plus square root of 2
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26.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

(i)  13 over 3125

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27. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

(ii)  17 over 8
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28. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

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29. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

left parenthesis i v right parenthesis space space 15 over 1600
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30.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

space space space left parenthesis straight v right parenthesis space space 29 over 343

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