What is ((x+3))/((15-sqrt(x^2-64))) ?

The solution to ((x+3))/((15-sqrt(x^2-64))) is ((x+3)(15+sqrt(x^2-64)))/(-x^2+289)

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simplify ((x+3))/((15-sqrt(x^2-64)))

simplify

\frac{( x + 3 )}{( 15 - x ^{2} - 64 )}

\frac{( x + 3 ) ( 15 + x ^{2} - 64 )}{- x ^{2} + 289}

Solution steps

\frac{x + 3}{15 - x ^{2} - 64}

Multiply by the conjugate

\frac{15 + x ^{2} - 64}{15 + x ^{2} - 64}

= \frac{( x + 3 ) ( 15 + x ^{2} - 64 )}{( 15 - x ^{2} - 64 ) ( 15 + x ^{2} - 64 )}

(15 - x^{2} - 64) (15 + x^{2} - 64) = - x^{2} + 289

= \frac{( x + 3 ) ( 15 + x ^{2} - 64 )}{- x ^{2} + 289}

(3 y + 2 y)^{2}

25 x^{4} - 10 4^{2} + 16

(\frac{( 2 a ^{2} )}{( 3 b ^{2} )})^{- 2}

\frac{8 x ^{2} - 4 x y}{8 x y}

x^{3} + 13 x^{2} + 32 x + 20

What is ((x+3))/((15-sqrt(x^2-64))) ?
The solution to ((x+3))/((15-sqrt(x^2-64))) is ((x+3)(15+sqrt(x^2-64)))/(-x^2+289)