Q. 13.9( 9 Votes )

State which of the following numbers are rational and irrational.

i. 2-√5

ii. (3 + √23)-√23

iii.

iv.

v. 5π

Answer :

i. 2-√5


Since √5 is an irrational number


2 - √5 is irrational number.


ii. (3 + √23)-√23


(3 + √23)-√23


= 3


Since 3 is rational


(3 + √23)-√23is rational number.


iii.



=


Since is rational


is rational


iv.


Rationalizing we get,



Since is irrational


is irrational.


v. 5π


Since is irrational


is irrational.


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