Question

Сократите дроби!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

$\frac{c-36}{ \sqrt{c}-6 } = \frac{( \sqrt{c}) ^{2} -6 ^{2} }{ \sqrt{c}-6}= \frac{( \sqrt{c}-6)( \sqrt{c} +6) }{ \sqrt{c} -6}= \sqrt{c} +6$

$\frac{7+3 \sqrt{7} }{ \sqrt{7} }= \frac{( \sqrt{7}) ^{2} +3 \sqrt{7}}{ \sqrt{7} }= \frac{ \sqrt{7}( \sqrt{7}+3) }{ \sqrt{7} }= \sqrt{7} +3$

$\frac{b-4}{b+4 \sqrt{b}+4 }= \frac{( \sqrt{b}) ^{2}-2 ^{2}}{( \sqrt{b}) ^{2}+4 \sqrt{b} +2 ^{2}}= \frac{( \sqrt{b}-2)( \sqrt{b} +2) }{( \sqrt{b}+2) ^{2}}= \frac{ \sqrt{b} -2}{ \sqrt{b} +2}$