Question

classify the following as rational or irrational with steps​

Answer 1

Answer:

root23 is irrational because it will not terminated on dividing

7.478478 is also irrational because it repeat after four decimal place follow me

Answer 2

Step-by-step explanation:

i. Let √23 is rational no.

√23=p/q where q is not = 0

squaring both side

[√23]^2 =[ p/q ]^2

23 = p^2/q^2

q^2 = p^2/ 23

Now 23 divides p^2

23 divides p

therefore 23 is irrational as it contradict our assumption ....