Question

Which of the following is a binomial in $y$ ?

• A. $y^2+\sqrt{2}$
• B. $y+\frac{1}{y}+2$
• C. $\sqrt{y}+\sqrt{2}y$
• D. $y\sqrt{y}+1$

Answer 1

Answer: (A)

A binomial is a mathematical expression satisfying the following properties:

• They must have two terms. (option $\text{B}$ doesn't satisfy this)
• If the variables are the same, then the exponents must be different.
• Exponents must be whole numbers. They cannot be negatives or fractions. (options $\text{C}$ and $\text{D}$ don't satisfy this)

From the above definition,

$\text{(A)}$ is correct option as it satisfies all the properties .