Question

prove 3-√5 as irrational​

Answer 1

Answer:

I CAN PROVE 3-^5 IS IRRATIONAL.

Step-by-step explanation:

LET US ASSUME THAT 3-^5 IS RATIONAL NUMBER

3-^5=A/B,B IS NOT = TO 0 A &B ARE CO-PRIME INTEGERS

3-A/B=^5

3B-A/B

SINCE ,A&B ARE INTEGERS 3B-A/B IS RATIONAL

^5 IS RATIONAL

BUT THIS CONTRADICTS THE FACT THAT ^5 IS IRRATIONAL.

THIS CONTRADICTION HAS ARISEN BECAUSE OF OUR ASSUMPTION IS WRONG THAT 3-^5 IS RATIONAL

SO, WE CONCLUDE THAT 3-^5 IS IRRATIONAL