Question

prove tha 5-root3 is an irriational number

Answer 1

hey user !!!

yes the given statement is true..
because 5-2root 3 cant be expressed in p÷q form..
The digits are non repeating and non terminating..


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THANKS

Answer 2

Let's assume that 5-2√3 is rational
& 5 is a rational number.

We know subtraction of two rational number results a rational number

Then 5 - 2√3 -5 results -2√3
Which is irrational

Therefore our assume is wrong.

Hence, 5-2√3 is irrational.