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

y^{2} + \sqrt{2}

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y + \frac{1}{y} + 2

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\sqrt{y} + \sqrt{2} y

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y \sqrt{y} + 1

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Solution

The correct option is A $y^{2} + \sqrt{2}$
A binomial is a mathematical expression satisfying the following properties:
They must have two terms. (option $B$ 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 $C$ and $D$ don't satisfy this)
From the above definition,
$(A)$ is correct option as it satisfies all the properties .

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Which of the following is a binomial in y ?

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