化简 ((x+3))/((15-sqrt(x^2-64)))

解答

化简

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

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

求解步骤

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

乘以共轭根式

\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}

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