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1. Real Number
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Q45 of 56 Page 17

Prove that is an irrational no.

let us suppose that is a rational number



Since x is a rational number so is also a rational number, which is not the case


Thus our assumption was wrong and is an irrational number


More from this chapter

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43

Are there two irrational numbers whose sum and product both are rationals? Justify

44

A trader with a basket of eggs finds that if he sells 3 eggs at a time there is only 1 egg left. If he sells 4 eggs at a time there is again 1 egg left. However, if the trader sells 7 eggs at a time there are no eggs left. If the capacity of the basket is 100 eggs find how many eggs are in the basket? Explain with reasoning.

46

Represent decimal 3.127 in which 7 has a bar in fraction form.

47

A rational number in its decimal expansion is 327.7081. what can you say about the prime factors of q when this is number is expressed in the form P/q? give reasons

Questions · 56
1. Real Number
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