यदि \(w=\sqrt{13}+\sqrt{6}\) है तो \(w^2-19\) का मान क्या है?

If \(w=\sqrt{13}+\sqrt{6}\), what is the value of \(w^2-19\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

B. \(2\sqrt{78}\)

Step 1

Concept

\(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\). So \(w^2-19=2\sqrt{78}\).

Step 2

Why this answer is correct

The correct answer is B. \(2\sqrt{78}\). \(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\). So \(w^2-19=2\sqrt{78}\).

Step 3

Exam Tip

\(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\) है। इसलिए \(w^2-19=2\sqrt{78}\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(w=\sqrt{13}+\sqrt{6}\) है तो \(w^2-19\) का मान क्या है? / If \(w=\sqrt{13}+\sqrt{6}\), what is the value of \(w^2-19\)?

Correct Answer: B. \(2\sqrt{78}\). Explanation: \(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\) है। इसलिए \(w^2-19=2\sqrt{78}\) है। / \(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\). So \(w^2-19=2\sqrt{78}\).

Which concept should I revise for this Mathematics MCQ?

\(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\). So \(w^2-19=2\sqrt{78}\).

What exam hint can help solve this Mathematics question?

\(w^2=13+6+2\sqrt{78}=19+2\sqrt{78}\) है। इसलिए \(w^2-19=2\sqrt{78}\) है।