यदि \(a=6+\sqrt{5}\) और \(b=6-\sqrt{5}\) हैं तो \(a^2-b^2\) का मान क्या है?

If \(a=6+\sqrt{5}\) and \(b=6-\sqrt{5}\), what is the value of \(a^2-b^2\)?

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

A. \(24\sqrt{5}\)

Step 1

Concept

(a-2-b-2=(a-b)(a+b)) where \(a-b=2\sqrt{5}\) and (a+b=12). So the value is \(24\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(24\sqrt{5}\). (a-2-b-2=(a-b)(a+b)) where \(a-b=2\sqrt{5}\) and (a+b=12). So the value is \(24\sqrt{5}\).

Step 3

Exam Tip

(a-2-b-2=(a-b)(a+b)) है जहाँ \(a-b=2\sqrt{5}\) और (a+b=12) है। इसलिए मान \(24\sqrt{5}\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(a=6+\sqrt{5}\) और \(b=6-\sqrt{5}\) हैं तो \(a^2-b^2\) का मान क्या है? / If \(a=6+\sqrt{5}\) and \(b=6-\sqrt{5}\), what is the value of \(a^2-b^2\)?

Correct Answer: A. \(24\sqrt{5}\). Explanation: (a-2-b-2=(a-b)(a+b)) है जहाँ \(a-b=2\sqrt{5}\) और (a+b=12) है। इसलिए मान \(24\sqrt{5}\) है। / (a-2-b-2=(a-b)(a+b)) where \(a-b=2\sqrt{5}\) and (a+b=12). So the value is \(24\sqrt{5}\).

Which concept should I revise for this Mathematics MCQ?

(a-2-b-2=(a-b)(a+b)) where \(a-b=2\sqrt{5}\) and (a+b=12). So the value is \(24\sqrt{5}\).

What exam hint can help solve this Mathematics question?

(a-2-b-2=(a-b)(a+b)) है जहाँ \(a-b=2\sqrt{5}\) और (a+b=12) है। इसलिए मान \(24\sqrt{5}\) है।