Final answer to the problem
$\frac{1-\sqrt{2}}{-1}$
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Step-by-step Solution
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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
Multiply and divide the fraction $\frac{1}{1+\sqrt{2}}$ by the conjugate of it's denominator $1+\sqrt{2}$
Learn how to solve rationalisation problems step by step online.
$\frac{1}{1+\sqrt{2}}\cdot \frac{1-\sqrt{2}}{1-\sqrt{2}}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 1/(1+2^(1/2)). Multiply and divide the fraction \frac{1}{1+\sqrt{2}} by the conjugate of it's denominator 1+\sqrt{2}. Multiplying fractions \frac{1}{1+\sqrt{2}} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}. Solve the product of difference of squares \left(1+\sqrt{2}\right)\left(1-\sqrt{2}\right). Add the values 1 and -2.
Final answer to the problem
$\frac{1-\sqrt{2}}{-1}$
Exact Numeric Answer
$0.414214$
