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2 results found for "surd-powers" in Class 10.

Question Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

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
Correct Answer

A. \(4+2\sqrt{2}\)

Step 1

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.

Step 2

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.

Step 3

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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Question Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

यदि \(x=1+\sqrt{2}\), तो \(x^3-3x\) का मान क्या है?

If \(x=1+\sqrt{2}\), what is the value of \(x^3-3x\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{2}\)

Step 1

Concept

\(x^2=3+2\sqrt{2}\) and \(x^3=7+5\sqrt{2}\), so \(x^3-3x=4+2\sqrt{2}\). The correct value is not in the options so calculate carefully.

Step 2

Why this answer is correct

The correct answer is A. \(2\sqrt{2}\). \(x^2=3+2\sqrt{2}\) and \(x^3=7+5\sqrt{2}\), so \(x^3-3x=4+2\sqrt{2}\). The correct value is not in the options so calculate carefully.

Step 3

Exam Tip

\(x^2=3+2\sqrt{2}\) और \(x^3=7+5\sqrt{2}\), इसलिए \(x^3-3x=4+2\sqrt{2}\) होता है। सही मान विकल्पों में नहीं है इसलिए गणना सावधानी से करें।

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