Question

Find two rational and two irrational between the following √2 and √3

Answer 1

Answer:

Two irrational number between root 2 and root 3 are

1.414 ..................................................1.732

so , irrational no. are 1.415 and 1.731 ( you can write any no . between 1.414 and 1.732 ).

Rational number: Here , x= root 2 , y = root 3 and n+1 = 3

so , d = y-x / n+1 = root 3 - root 2 / 3 = 1.732 - 1.414 /3 = 0.318/3.

a*1 = x+d = 1.414 + (0.318 )/3 = 4.242 + 0.318 /3

= 4.56/3

a*2 = x+2 d= 1.414+ (0.636 )/3 = 4.242. + 0.636 /3. = 5.06/ 3

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Answer 2

Answer:

Step-by-step explanation:

√2 =1.414213562373095

√3 =1.732050807568877

rational = 0.5 , 0.6

irrationals = 1.423323332 ....  , 1.606006006000 ....

Hope this helps .

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