Question

find three rational number between root 2 and root 5 ​

Answer 1

1.5 ,1.6, 1.7

Step-by-step explanation:

Rational Number (decimal form) : Any decimal number which is either

i) terminating    (or)

ii) non-terminating with recurring decimals

Here, √2 = 1.414213562373095048......

 and  √5 = 2.236067977499789...........

are non-terminating with non-recurring decimals

=> both the values are irrational

so, we want any 3 rational no.s between these irrational

1)   1.5 ,1.6, 1.7 ... (eg. of rational with terminating decimal no.)

2)  a)   1.414414414414414....  (414 recurring)

    b)   1.5555555555555...  (5  recurring)

    c)   2.230230230............   (230 recurring)

and so on.

Answer 2

Answer:

1.5 ,1.6, 1.7

Step by step explaination

Rational Number (decimal form) : Any decimal number which is either

i) terminating    (or)

ii) non-terminating with recurring decimals

Here, √2 = 1.414213562373095048......

 and  √5 = 2.236067977499789...........

are non-terminating with non-recurring decimals

=> both the values are irrational

so, we want any 3 rational no.s between these irrational

1)   1.5 ,1.6, 1.7 ... (eg. of rational with terminating decimal no.)

2)  a)   1.414414414414414....  (414 recurring)

    b)   1.5555555555555...  (5  recurring)

    c)   2.230230230............   (230 recurring)

and so on