Question

Сократите дробь 25p-49q/5 корень из p + 7 корень из q

Answer 1

(5√p-7√√q)(5√p+7√q)/(5√p+7√q)=5√p-7√q

Answer 2

$frac{25p-49q}{5 sqrt{p}+7 sqrt{q} } = frac{ sqrt{25p}^2 - sqrt{49q}^2 }{5 sqrt{p}+7 sqrt{q} }= frac{ 5sqrt{5p}^2 - 7sqrt{7q}^2 }{5 sqrt{p}+7 sqrt{q} }=frac{ sqrt{5p}^2 - sqrt{7q}^2 }{ sqrt{p}+sqrt{q} }= frac{5sqrt{p^2}-7 sqrt{q^2}}{sqrt{p}+sqrt{q} }} = \ 5 sqrt{p}-7 sqrt{q}$