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Prove that √5 + 7 is irational​

User Neal Fultz
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1 Answer

25 votes
25 votes

Step-by-step explanation:

What are irrational numbers?

Irrational numbers include numbers like: π, 12π, ∛2, √11, √12, 4√2

Note: √4 = ± 2, √16 = ± 4 and others which completely square root are still rational numbers as they can be written as whole number integers.

Here given number: √5 + 7

  • It is an irrational number as it cannot be simplified further to a whole number.
  • In decimals: 9.236067977... and keeps repeating.
  • It is an example of non-recurring decimals. Hence, it is an irrational number.
User Aref Riant
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