Question

prove that ✓3+2✓5 is a irrational number
​please answer fast

Answer 1

Question :

prove that ✓3+2✓5 is a irrational number

please answer fast

Answer:

√3+ 2√5 is an irrational number.

Explanation:

let assume √3+2√5 is rational no.

so,

√3+2√5 = a/b

squaring both sides,

23+2√15= a²/b².

√15= a²-23b²/2b²

here we can see √15 is a irrational no but a²-23b²/2b² is rational no

so, Our assumption was wrong.

Full explanation provide above attachment.