व्यंजक \(x^2+\frac{1}{\sqrt{x}}\) बहुपद क्यों नहीं है?

Why is \(x^2+\frac{1}{\sqrt{x}}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \(\frac{1}{\sqrt{x}}\) में चर की घात \(-\frac{1}{2}\) हैBecause \(\frac{1}{\sqrt{x}}\) has variable power \(-\frac{1}{2}\)

Step 1

Concept

\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.

Step 2

Why this answer is correct

The correct answer is B. क्योंकि \(\frac{1}{\sqrt{x}}\) में चर की घात \(-\frac{1}{2}\) है / Because \(\frac{1}{\sqrt{x}}\) has variable power \(-\frac{1}{2}\). \(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.

Step 3

Exam Tip

\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\) होता है। ऋणात्मक और भिन्न घात बहुपद में मान्य नहीं होती।

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Mathematics Answer, Explanation and Revision Hints

व्यंजक \(x^2+\frac{1}{\sqrt{x}}\) बहुपद क्यों नहीं है? / Why is \(x^2+\frac{1}{\sqrt{x}}\) not a polynomial?

Correct Answer: B. क्योंकि \(\frac{1}{\sqrt{x}}\) में चर की घात \(-\frac{1}{2}\) है / Because \(\frac{1}{\sqrt{x}}\) has variable power \(-\frac{1}{2}\). Explanation: \(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\) होता है। ऋणात्मक और भिन्न घात बहुपद में मान्य नहीं होती। / \(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.

Which concept should I revise for this Mathematics MCQ?

\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.

What exam hint can help solve this Mathematics question?

\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\) होता है। ऋणात्मक और भिन्न घात बहुपद में मान्य नहीं होती।