Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 480

а) $$\sqrt{a⁴b⁴}$$ = $$\sqrt{(a²b²)²}$$ = |a²b²| = a²b²
б) $$\sqrt{b⁶c⁸}$$ = $$\sqrt{(b³c⁴)²}$$ = |b³c⁴| = b³c⁴
в) $$\sqrt{16x⁴y¹²}$$ = $$\sqrt{(4x²y⁶)²}$$ = |4x²y⁶| = 4x²y⁶
г) $$\sqrt{0,25p²y⁶}$$ = $$\sqrt{(0,5py³)²}$$ = |0,5py³| = −0,5py³
д) $$ \sqrt{\frac{p^4}{a^8}}=\sqrt{\left(\frac{p^2}{a^4}\right)^2} $$ = |p²|/|a⁴| = p|/a⁴
е) $$ \sqrt{\frac{16 a^{12}}{b^{10}}}=\sqrt{\left(\frac{4 a^6}{b^5}\right)^2} $$ = |4a⁶|/|b⁵| = 4a⁶/b⁵
ж) $$ \sqrt{\frac{4 x^2}{y^6}}=\sqrt{\left(\frac{2 x}{y^3}\right)^2}= $$ = |2x|/|y³| = −2x/y³
з) $$ \sqrt{\frac{c^6}{9 a^2}}=\sqrt{\left(\frac{c^3}{3 a}\right)^2} $$ = |c³|/|3a| = −|c³|/|3a|