Find a rational and irrational no. Between root 3 and root 5 ?

Asked by Dhruv | 15th Jun, 2017, 11:00: AM

Expert Answer:

begin mathsize 16px style Since comma space square space of space square root of 3 equals 3 space and space square space of space square root of 5 equals 5

left parenthesis straight i right parenthesis space Choose space any space rational space number space between space 3 space and space 5 space which space is space straight a space perfect space square.
space space space space space space The space square space root space of space such space number space will space be space the space required space rational space number.
space space space space space space Let space the space number space be space 4.
space space space space space space Then comma space square root of 4 equals 2
space space space space space space Thus comma space required space rational space number space betwen space square root of 3 space and space square root of 5 space is space 2.

left parenthesis ii right parenthesis space Choose space any space rational space number space between space 3 space and space 5 space which space is space not space straight a space perfect space square.
space space space space space space The space square space root space of space such space number space will space be space the space required space irrational space number.
space space space space space space Let space the space number space be space 3.5.
space space space space space space Then comma space square root of 3.5 end root
space space space space space space Thus comma space required space irrational space number space betwen space square root of 3 space and space square root of 5 space is space space square root of 3.5 end root. end style

Answered by Rashmi Khot | 15th Jun, 2017, 03:15: PM