यदि \(x=1+\sqrt{2}\), तो \(x^3-3x\) का सही मान क्या है?
If \(x=1+\sqrt{2}\), what is the correct value of \(x^3-3x\)?
Explanation opens after your attempt
A. \(4+2\sqrt{2}\)
Concept
\(x^3=7+5\sqrt{2}\) and \(3x=3+3\sqrt{2}\), so the difference is \(4+2\sqrt{2}\). In exams calculate powers step by step.
Why this answer is correct
The correct answer is A. \(4+2\sqrt{2}\). \(x^3=7+5\sqrt{2}\) and \(3x=3+3\sqrt{2}\), so the difference is \(4+2\sqrt{2}\). In exams calculate powers step by step.
Exam Tip
\(x^3=7+5\sqrt{2}\) और \(3x=3+3\sqrt{2}\), इसलिए अंतर \(4+2\sqrt{2}\) है। परीक्षा में घातों की गणना चरणों में करें।
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