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

The solution to 8/(6+sqrt(7)) is (48-8sqrt(7))/(29)

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simplify 8/(6+sqrt(7))

simplify

\frac{8}{6 + 7}

\frac{48 - 8 7}{29}

Decimal Notation

0.92530 \dots

Solution steps

\frac{8}{6 + 7}

Multiply by the conjugate

\frac{6 - 7}{6 - 7}

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

Expand

8 (6 - 7) : 48 - 87

Expand

(6 + 7) (6 - 7) : 29

= \frac{48 - 8 7}{29}

(- 3)^{2} - 7

\frac{5}{8} \div \frac{5}{3}

\frac{2}{3 2}

ln (x^{2}) e^{2 x}

\frac{( - 18 x ^{3} + 17 x + 6 )}{( 3 x + 2 )}