Question

show that 3 + 2 root 5 is an irrational number

Answer 1

Answer

Let us assume that

3+2√5 is rational..

Firstly we are taking only√5

So,

√5=p/q

Squaring both sides,

√5square=(p/q) square

(√5q) square=p square

q square=(p/√5) square

If p square is divided by √5

Square,then p can also

Divided by√5.

Now,

(q/p) square=5m square/5

(q/p) square=25m square/5

(q/p) square=5msquare

(q/5) square=p square

If q square is divided by 5

Square,then q also be..

If √5 is irrational,then 3+2√5 is also irrational because if we sub rational from irrational then answer will be irrational..