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Преобразуем выражение в скобках:
![frac{sqrt{q}}{p-sqrt{pq}}+frac{sqrt{p}}{q-sqrt{pq}}=frac{sqrt{q}}{sqrt{p}(sqrt{p}-sqrt{q})}+frac{sqrt{p}}{-sqrt{q}(sqrt{p}-sqrt{q})}=\=frac{q-p}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}=frac{-(p-q)}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})} frac{sqrt{q}}{p-sqrt{pq}}+frac{sqrt{p}}{q-sqrt{pq}}=frac{sqrt{q}}{sqrt{p}(sqrt{p}-sqrt{q})}+frac{sqrt{p}}{-sqrt{q}(sqrt{p}-sqrt{q})}=\=frac{q-p}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}=frac{-(p-q)}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}](https://tex.z-dn.net/?f=frac%7Bsqrt%7Bq%7D%7D%7Bp-sqrt%7Bpq%7D%7D%2Bfrac%7Bsqrt%7Bp%7D%7D%7Bq-sqrt%7Bpq%7D%7D%3Dfrac%7Bsqrt%7Bq%7D%7D%7Bsqrt%7Bp%7D%28sqrt%7Bp%7D-sqrt%7Bq%7D%29%7D%2Bfrac%7Bsqrt%7Bp%7D%7D%7B-sqrt%7Bq%7D%28sqrt%7Bp%7D-sqrt%7Bq%7D%29%7D%3D%5C%3Dfrac%7Bq-p%7D%7Bsqrt%7Bq%7Dsqrt%7Bp%7D%28sqrt%7Bp%7D-sqrt%7Bq%7D%29%7D%3Dfrac%7B-%28p-q%29%7D%7Bsqrt%7Bq%7Dsqrt%7Bp%7D%28sqrt%7Bp%7D-sqrt%7Bq%7D%29%7D)
![frac{-(p-q)}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}*frac{psqrt{q}+qsqrt{p}}{p-q}=-frac{sqrt{p}sqrt{q}(sqrt{p}+sqrt{q})}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}=-frac{sqrt{p}+sqrt{q}}{sqrt{p}-sqrt{q}}=\=-frac{sqrt{36}+sqrt{4}}{sqrt{36}-sqrt{4}}=-frac{8}{6}=-frac{4}{3} frac{-(p-q)}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}*frac{psqrt{q}+qsqrt{p}}{p-q}=-frac{sqrt{p}sqrt{q}(sqrt{p}+sqrt{q})}{sqrt{q}sqrt{p}(sqrt{p}-sqrt{q})}=-frac{sqrt{p}+sqrt{q}}{sqrt{p}-sqrt{q}}=\=-frac{sqrt{36}+sqrt{4}}{sqrt{36}-sqrt{4}}=-frac{8}{6}=-frac{4}{3}](https://tex.z-dn.net/?f=frac%7B-%28p-q%29%7D%7Bsqrt%7Bq%7Dsqrt%7Bp%7D%28sqrt%7Bp%7D-sqrt%7Bq%7D%29%7D%2Afrac%7Bpsqrt%7Bq%7D%2Bqsqrt%7Bp%7D%7D%7Bp-q%7D%3D-frac%7Bsqrt%7Bp%7Dsqrt%7Bq%7D%28sqrt%7Bp%7D%2Bsqrt%7Bq%7D%29%7D%7Bsqrt%7Bq%7Dsqrt%7Bp%7D%28sqrt%7Bp%7D-sqrt%7Bq%7D%29%7D%3D-frac%7Bsqrt%7Bp%7D%2Bsqrt%7Bq%7D%7D%7Bsqrt%7Bp%7D-sqrt%7Bq%7D%7D%3D%5C%3D-frac%7Bsqrt%7B36%7D%2Bsqrt%7B4%7D%7D%7Bsqrt%7B36%7D-sqrt%7B4%7D%7D%3D-frac%7B8%7D%7B6%7D%3D-frac%7B4%7D%7B3%7D)
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спасибо огромное!)
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