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Question

Find three different irrational numbers between the rational numbers 57 and 911.

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Solution

Let us convert 57 and 911 into decimal form, to get

57=0.714285... and 911=0.818181....

We know that the Non-terminating non-recurring decimals are irrational numbers.

Three irrational numbers that lie between 0.714285.... and 0.818181.... are:

0.73073007300073.

0.74074007400074.

0.76076007600076.....


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