5 uses of irrational numbers in our daily life?????????
You can't use an irrational number in any application. You can only use an approximation. That's the definitional of irrational.
So, the length of anything is irrational. Anytime you measure anything, you are obtaining an approximation to an irrational number. The temperature of your oven, the speed of your car, anything that is continuous is irrational and can only be approximated. It is sort of a use of an irrational number.
For an answer more in line of what was intended. Suppose you want to draw a pleasing rectangle. One that isn't too fat or too skinny. You would make the sides proportional to phi, the golden ratio. Advertisers use this ratio all the time. Phi = 1.618......