What is (6-sqrt(8))/(sqrt(2)-1) ?

The solution to (6-sqrt(8))/(sqrt(2)-1) is 4sqrt(2)+2

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simplify (6-sqrt(8))/(sqrt(2)-1)

simplify

\frac{6 - 8}{2 - 1}

42 + 2

Decimal

7.65685 \dots

Solution steps

\frac{6 - 8}{2 - 1}

Multiply by the conjugate

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

= \frac{( 6 - 8 ) ( 2 + 1 )}{( 2 - 1 ) ( 2 + 1 )}

Expand

(6 - 8) (2 + 1) : 42 + 2

Expand

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

= \frac{4 2 + 2}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 42 + 2

5242

- 0.864 + 0.056 + (- 2.388)

4 + 4

\frac{2}{1} - \frac{3}{3}

\frac{4}{3} \times 8

What is (6-sqrt(8))/(sqrt(2)-1) ?
The solution to (6-sqrt(8))/(sqrt(2)-1) is 4sqrt(2)+2