What is 8/(7-sqrt(6)) ?

The solution to 8/(7-sqrt(6)) is (56+8sqrt(6))/(43)

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simplify 8/(7-sqrt(6))

simplify

\frac{8}{7 - 6}

\frac{56 + 8 6}{43}

Decimal Notation

1.75804 \dots

Solution steps

\frac{8}{7 - 6}

Multiply by the conjugate

\frac{7 + 6}{7 + 6}

= \frac{8 ( 7 + 6 )}{( 7 - 6 ) ( 7 + 6 )}

Expand

8 (7 + 6) : 56 + 86

Expand

(7 - 6) (7 + 6) : 43

= \frac{56 + 8 6}{43}

3 (2 x - 2)^{2} - 2

\frac{4 x ^{3} - 6 x ^{2} + 8 x}{2 x}

3 x \cdot 2 x

(\frac{x}{2}) (\frac{x}{2})

\frac{5}{2} \div 4