What is (sqrt(2))/(sqrt(2)-1) ?

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

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simplify (sqrt(2))/(sqrt(2)-1)

simplify

\frac{2}{2 - 1}

2 + 2

Decimal Notation

3.41421 \dots

Solution steps

\frac{2}{2 - 1}

Multiply by the conjugate

\frac{2 + 1}{2 + 1}

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

Expand

2 (2 + 1) : 2 + 2

Expand

(2 - 1) (2 + 1) : 1

= \frac{2 + 2}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 2 + 2

21 - 4 x - x^{2}

(r - 1)^{3}

4 \cdot (- \frac{1}{3})

\frac{32}{56}

\frac{1}{2} \cdot \frac{1}{x}

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