Question

Are irrational number? justify the reaason !!!! 5√32

Answer 1

• The given number is irrational.

Explanation:

It is known that
`√(2)` is irrational.

Given number can be converted as:

• 
  `5√(32) =`
• 
  `5√(16*2) =`
• 
  `5√(16)*√(2) =`
• 
  `5*4*√(2) =`
• 
  `20√(2)`

Since
`√(2)` is irrational,
`20√(2)` is also irrational (the product of an irrational number and a rational number is irrational), so the given number is irrational.