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Popular >

simplify 1/(2-sqrt(2))

Solution

simplify

\frac{1}{2 - 2}

Solution

\frac{2 + 2}{2}

+1

Decimal Notation

1.70710 \dots

Solution steps

\frac{1}{2 - 2}

Multiply by the conjugate

\frac{2 + 2}{2 + 2}

= \frac{1 \cdot ( 2 + 2 )}{( 2 - 2 ) ( 2 + 2 )}

1 \cdot (2 + 2) = 2 + 2

(2 - 2) (2 + 2) = 2

= \frac{2 + 2}{2}

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Frequently Asked Questions (FAQ)

What is 1/(2-sqrt(2)) ?
The solution to 1/(2-sqrt(2)) is (2+sqrt(2))/2