What is 6/(sqrt(2)-1) ?

The solution to 6/(sqrt(2)-1) is 6sqrt(2)+6

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simplify 6/(sqrt(2)-1)

simplify

\frac{6}{2 - 1}

62 + 6

Decimal Notation

14.48528 \dots

Solution steps

\frac{6}{2 - 1}

Multiply by the conjugate

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

= \frac{6 ( 2 + 1 )}{( 2 - 1 ) ( 2 + 1 )}

Expand

6 (2 + 1) : 62 + 6

Expand

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

= \frac{6 2 + 6}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 62 + 6

72 \cdot (2 - x - 2)^{2} = \frac{x}{18}

105 \cdot \frac{π}{180}

4 - x^{2} = 2 - x

980 \cdot \frac{4}{7}

\frac{1200}{4}