Question

prove that 3-2√5 is irrational number explain briefly​

Answer 1

Step-by-step explanation:

We can prove this by using the fact that √5 is irrational. Any number which can be written as a fraction of integers is called a rational number, otherwise it is called an irrational number. Let us assume that 3+2√5 is rational. So 3+2√5 can be written as a fraction of integers in it's simplest form.

---or----

3 + 2√5 = a/ b

=> 2√5 =a/b -3

=>√5 =a-3b/2b

there fore, √5 is rational.

But, This contradicta the fact that √ 5 is irrational. So our supposition is incorrect.