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Popular >

simplify 1/(sqrt(2)+1)

Solution

simplify

\frac{1}{2 + 1}

Solution

2 - 1

+1

Decimal Notation

0.41421 \dots

Solution steps

\frac{1}{2 + 1}

Multiply by the conjugate

\frac{2 - 1}{2 - 1}

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

1 \cdot (2 - 1) = 2 - 1

(2 + 1) (2 - 1) = 1

= \frac{2 - 1}{1}

Apply rule

\frac{a}{1} = a

= 2 - 1

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Frequently Asked Questions (FAQ)

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