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Question Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 25

यदि \(a=3+\sqrt{7}\) और \(b=3-\sqrt{7}\) हैं तो \(a^2+b^2\) का मान क्या है?

If \(a=3+\sqrt{7}\) and \(b=3-\sqrt{7}\), what is the value of \(a^2+b^2\)?

Explanation opens after your attempt
Correct Answer

A. (32)

Step 1

Concept

On adding the two squares the radical terms cancel and the result is (32). Identify cancelling terms in conjugates.

Step 2

Why this answer is correct

The correct answer is A. (32). On adding the two squares the radical terms cancel and the result is (32). Identify cancelling terms in conjugates.

Step 3

Exam Tip

दोनों वर्ग जोड़ने पर जड़ वाले पद कट जाते हैं और (32) मिलता है। संयुग्मी संख्याओं में कटने वाले पद पहचानें।

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