Final answer to the problem
$\frac{1-\sqrt{2}}{-1}$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve factor by difference of squares 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
$0.414214$
