What is 5/(7-sqrt(6)) ?

The solution to 5/(7-sqrt(6)) is (35+5sqrt(6))/(43)

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simplify 5/(7-sqrt(6))

simplify

\frac{5}{7 - 6}

\frac{35 + 5 6}{43}

Decimal Notation

1.09877 \dots

Solution steps

\frac{5}{7 - 6}

Multiply by the conjugate

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

= \frac{5 ( 7 + 6 )}{( 7 - 6 ) ( 7 + 6 )}

Expand

5 (7 + 6) : 35 + 56

Expand

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

= \frac{35 + 5 6}{43}

f (x)^{2}

\frac{1}{3} 3

2 \times (- 6)

\frac{1}{- 7}

\frac{4 ^{6}}{4 ^{2}}