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Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:$ 3 \sqrt{x}+\sqrt{2} x $
Given:
The given expression is \( 3 \sqrt{x}+\sqrt{2} x \).
To do:
We have to find whether the given expression is a polynomial in one variable.
Solution:
Polynomials:
Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
\( 3\sqrt{x}+\sqrt2 x \) can be written as $3x^{\frac{1}{2}}+\sqrt2 x$. Here, the variable in the term $3x^{\frac{1}{2}}$ is raised to the power $\frac{1}{2}$ which is not a whole number.
Therefore, \( 3\sqrt{x}+\sqrt2 x \) is not a polynomial.
Updated on: 10-Oct-2022
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