यदि \(r=\sqrt{15}+\sqrt{6}\), तो \(r^{2}-6\sqrt{10}\) का मान क्या है?

If \(r=\sqrt{15}+\sqrt{6}\), what is the value of \(r^{2}-6\sqrt{10}\)?

Explanation opens after your attempt
Correct Answer

C. (21)

Step 1

Concept

Since \(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\), \(r^{2}-6\sqrt{10}=21\).

Step 2

Why this answer is correct

The correct answer is C. (21). Since \(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\), \(r^{2}-6\sqrt{10}=21\).

Step 3

Exam Tip

\(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\)। इसलिए \(r^{2}-6\sqrt{10}=21\)।

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Mathematics Answer, Explanation and Revision Hints

यदि \(r=\sqrt{15}+\sqrt{6}\), तो \(r^{2}-6\sqrt{10}\) का मान क्या है? / If \(r=\sqrt{15}+\sqrt{6}\), what is the value of \(r^{2}-6\sqrt{10}\)?

Correct Answer: C. (21). Explanation: \(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\)। इसलिए \(r^{2}-6\sqrt{10}=21\)। / Since \(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\), \(r^{2}-6\sqrt{10}=21\).

Which concept should I revise for this Mathematics MCQ?

Since \(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\), \(r^{2}-6\sqrt{10}=21\).

What exam hint can help solve this Mathematics question?

\(r^{2}=15+6+2\sqrt{90}=21+6\sqrt{10}\)। इसलिए \(r^{2}-6\sqrt{10}=21\)।