Question

Find five rational and five irrational numbers between √2 and. √7 ​

Answer 1

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Answer 2

Step-by-step explanation:

=》Step 1: Multiply and divide both the numbers by n + 1.

 =》 In this example, we have to find 5 rational numbers between 3/5 and 4/5. Here n = 5 

=》Multiply 3/5 and 4/5 by 6

=》 3/5 x 6/6 = 18/30 and

=》  4/5 x 6/6 = 24/30

 =》 Step 2: Choose 5 numbers between 18/30

24/30 

=》3/5 = 18/30 < 19/30 < 20/30 < 21/30 < 22/30 < 23/30 < 24/30 = 4/5 

=》Therefore, 5 rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, 23/30.

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