What is 8/(7+sqrt(x+3)) ?

The solution to 8/(7+sqrt(x+3)) is (8(7-sqrt(x+3)))/(-x+46)

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simplify 8/(7+sqrt(x+3))

simplify

\frac{8}{7 + x + 3}

\frac{8 ( 7 - x + 3 )}{- x + 46}

Solution steps

\frac{8}{7 + x + 3}

Multiply by the conjugate

\frac{7 - x + 3}{7 - x + 3}

= \frac{8 ( 7 - x + 3 )}{( 7 + x + 3 ) ( 7 - x + 3 )}

(7 + x + 3) (7 - x + 3) = - x + 46

= \frac{8 ( 7 - x + 3 )}{- x + 46}

\frac{3 a}{b ^{- 3}}

8 8^{2}

\frac{31 4 ^{162}}{162}

\frac{7}{3} - \frac{4}{3}

\frac{512}{2}

What is 8/(7+sqrt(x+3)) ?
The solution to 8/(7+sqrt(x+3)) is (8(7-sqrt(x+3)))/(-x+46)