यदि \(a=\sqrt{18}+\sqrt{8}\) और \(b=\sqrt{18}-\sqrt{8}\) हैं तो \(a^2-b^2\) का मान क्या है?

If \(a=\sqrt{18}+\sqrt{8}\) and \(b=\sqrt{18}-\sqrt{8}\), what is the value of \(a^2-b^2\)?

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

D. (48)

Step 1

Concept

(a-2-b-2=(a-b)(a+b)), where \(a-b=2\sqrt{8}\) and \(a+b=2\sqrt{18}\). So the value is \(4\sqrt{144}=48\).

Step 2

Why this answer is correct

The correct answer is D. (48). (a-2-b-2=(a-b)(a+b)), where \(a-b=2\sqrt{8}\) and \(a+b=2\sqrt{18}\). So the value is \(4\sqrt{144}=48\).

Step 3

Exam Tip

(a-2-b-2=(a-b)(a+b)) है जहाँ \(a-b=2\sqrt{8}\) और \(a+b=2\sqrt{18}\) है। इसलिए मान \(4\sqrt{144}=48\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(a=\sqrt{18}+\sqrt{8}\) और \(b=\sqrt{18}-\sqrt{8}\) हैं तो \(a^2-b^2\) का मान क्या है? / If \(a=\sqrt{18}+\sqrt{8}\) and \(b=\sqrt{18}-\sqrt{8}\), what is the value of \(a^2-b^2\)?

Correct Answer: D. (48). Explanation: (a-2-b-2=(a-b)(a+b)) है जहाँ \(a-b=2\sqrt{8}\) और \(a+b=2\sqrt{18}\) है। इसलिए मान \(4\sqrt{144}=48\) है। / (a-2-b-2=(a-b)(a+b)), where \(a-b=2\sqrt{8}\) and \(a+b=2\sqrt{18}\). So the value is \(4\sqrt{144}=48\).

Which concept should I revise for this Mathematics MCQ?

(a-2-b-2=(a-b)(a+b)), where \(a-b=2\sqrt{8}\) and \(a+b=2\sqrt{18}\). So the value is \(4\sqrt{144}=48\).

What exam hint can help solve this Mathematics question?

(a-2-b-2=(a-b)(a+b)) है जहाँ \(a-b=2\sqrt{8}\) और \(a+b=2\sqrt{18}\) है। इसलिए मान \(4\sqrt{144}=48\) है।