Question

prove that 2 + 5 root 3 is an irrational number given that root 3 is an irrational number​

Answer 1

Answer:

Hope this helps you

Step-by-step explanation:

Answer 2

Step-by-step explanation:

2+5√3 we assume that it is rational number

p and q are coprimes.q not equal to 0.

1. 2+5√3=p/q

2.5√3=p/q-2

3(5√3)=(p/q-2)

4.5√3=p-2q/q

5.√3=p-2q/5q

√3 is an irrational number.L.H.S IS AN IRRATIONAL.R.H.S IS AN RATIONAL

IRRATIONAL=RATIONAL IT IS IMPOSSIBLE.SO,OUR ASSUMPTION IS WRONG.IT IS AN IRRATIONAL NUMBER

I HOPE U CAN UNDERSTAND