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CBSE Class 9 Answered

how to find 4 irrational no. between given rational no. 
 
Asked by eeshan.nk | 31 Mar, 2016, 02:03: PM
answered-by-expert Expert Answer
If space straight a space and space straight b space are space two space positive space rational space numbers space such space that space ab space is space not space straight a space perfect space square comma
space then space square root of ab space is space an space irrational space number space lying space between space straight a space and space straight b.

Example colon space Find space four space irrational space numbers space between space 2 space and space 2.5.
space square root of 2 cross times 2.5 end root space space equals space space square root of 5
Similarly comma space
irrational space numbers space between space space 2 space space space and space space square root of 5 space space is space space square root of 2 cross times square root of 5 end root space space
irrational space numbers space between space space square root of 5 space space space and space space 2.5 space space is space space square root of square root of 5 cross times 2.5 end root space
irrational space numbers space between space space 2 space space space and space space space square root of 2 cross times square root of 5 end root space space is space space square root of 2 cross times space square root of 2 cross times square root of 5 end root end root space
So comma space the space four space irrational space numbers space between space 2 space and space 2.5 space are space square root of 5 comma space square root of 2 cross times square root of 5 end root space comma space space square root of square root of 5 cross times 2.5 end root space space and space square root of 2 cross times space square root of 2 cross times square root of 5 end root end root
Answered by Rebecca Fernandes | 31 Mar, 2016, 03:23: PM
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