Question

prove that root 3-2 root 5 is irrational​

Answer 1

Answer:

it is a contradiction

so it is irrational

Answer 2

Answer:

√3 - 2√5 is irrational

Step-by-step explanation:

FOR A WHILE LET US ASSUME THAT

√3-2√5 IS RATIONAL

THEREFORE

√3-2√5=p/q=x

WHERE P AND Q ARE CO PRIMES

THEREFORE X+2√5=√3

SQUARING ON BOTH SIDES

X²+4√5X+20=3

THEREFORE X²+17=-4√5X

THEREFORE X²+17/4X=√5

HENCE X MUST BE IRRATIONAL

HENCE PROVED