Question

What is the square of $(2+\sqrt{2})$?

• A. A rational number
• B. An irrational number
• C. A natural number
• D. A whole number

Answer 1

The correct option is B An irrational number

We know that , $(a+b{)}^2$=$a^2$+$2ab$+$b^2$

Square of (2+√2) is (4+2.2.√2+2) = 6+4√2 which is an irrational number