Question

how irrational numbers do in real life

Answer 1

• Engineering revolves on designing things for real life and several things like Signal Processing, Force Calculations, Speedometer etc use irrational numbers.
• Calculus and other mathematical domains that use these irrational numbers are used a lot in real life. Irrational Numbers are used indirectly.

Answer 2

Answer:

Question:

How are rational and irrational numbers used in real life?

Rational and irrational numbers :

Rational numbers :

A number which can be expressed in the form of {eq}\frac{p}{q} {/eq}, where p and q are co-prime integers and {eq}q \neq 0 {/eq}, is called a rational number.

Examples : 1, {eq}\frac{-5}{9} {/eq}, 0.25, 70%, etc.

The decimal expansion of a rational number is either terminating or non terminating but repeating.

Irrational numbers :

A number which can not be expressed in the form of {eq}\frac{p}{q} {/eq}, where p and q are co-prime integers and {eq}q \neq 0 {/eq}, is called an irrational number.

Examples : {eq}\sqrt{2} {/eq}, {eq}\sqrt{3} {/eq}, {eq}\pi {/eq}, 0.10110111011110.......................... , etc.

The decimal expansion of an irrational number is neither terminating nor repeating.