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# If 1 + √ 2 is a Root of a Quadratic Equation Will Rational Coefficients, Write Its Other Root. - Mathematics

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#### Question

If $1 + \sqrt{2}$ is a root of a quadratic equation will rational coefficients, write its other root.

#### Solution

Given that (1 + sqrt2) is a root of the quadratic equation with rational coefficients.

Then find the other root.

As we know that if  (1 + sqrt2)is a root of the quadratic equation with rational coefficients then other roots be (1 - sqrt2).

Hence, the require root of the quadratic equation be (1 - sqrt2).

Is there an error in this question or solution?
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#### APPEARS IN

RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Q: 3 | Page no. 82
RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Q: 3 | Page no. 82
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If 1 + √ 2 is a Root of a Quadratic Equation Will Rational Coefficients, Write Its Other Root. Concept: Solutions of Quadratic Equations by Factorization.
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