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If (x=1+\sqrt{2}), what is the value of (x^3-3x)?
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Answer and explanation
Correct answer: (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.
Frequently asked questions
What is the correct answer to this question?
(2\sqrt{2})
Why is this the correct answer?
(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.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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