Question

Prove that √5 is irrational hense show that 3+ 2√5 is irrational​

Answer 1

Answer:

ROOT 5 PROVED AS IRRATIONAL

Step-by-step explanation:

LET ROOT 5 BE A RATIONAL NUMBER . THEREFORE WE CAN FIND INTEGER A AND B (WHERE B IS NOT EQUAL TO 0 )AND A AND B ARE CO PRIME ) SUCH THAT A/B=ROOT 5 .

=A=ROOT 5.B

SQUARING BOTH SIDE WE HAVE ASQ=5BSQ.

THEREFOR 5 DIVIDES A SQ =5DIVIDES A .

a=5c,where c is integer .

putting a=1 .we have

5c=root 5c.=5bsq

=25csq=5bsq

=5csq=bsq.

5 divided by sq =5 divides b .

from (1) and (2) .

there fore our supposition that root 5 is rational Is wrong .

HOPE IT HELPED !2