Question

Prove that √5 is irrational and hence prove 7+2√5 is
also an irrational number

Answer 1

Step-by-step explanation:

• Let us assume on the contrary that root 5is a rational number
• spit can be expressed as root5=a/b
• Squaring both the sides
• 5=a^2/b^2
• 5b^2=a^2
• it shows that b square is divisible by a similarly b is also divisible by a