Question

Prove
that
√3+√5 is
irrational​

Answer 1

Step-by-step explanation:

just replace the numbers

Answer 2

Answer:

Let assume that √3+√5 is a irrational number.

⇒√3+√5=a/b[ where a,b are integers]

⇒S.O.B.S

• (√3+√5)²=(a/b)²
• (√3)²+(√5)²+2(√3)(√5)=a²/b²
• 3+5+2√15=a²/b²
• 8+2√15=a²/b²
• 2√15=a²/b²-8
• 2√15=5b²-a²/b²
• √15=5b²-a²/2b²

5b²-a²/2b² is a rational number and √15 is a rational number.But contradicts that √15 is a irrational number.Hence √3+√5 also irrational number.

Hence your assumption is wrong.

hence proved √3+√5 is a irrational number.