Question

Prove that √5 + 7 is irational​

Answer 1

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.