Вычислить: (4√3)²/60; 72/(2√3)²; (2√5)²/160; 90/(3√5)²; (3√5)²/75; 220/(2√5)²; (2√6)²/48; (2√3)²/30.

Используем правило \((a\sqrt{b})^2=a^2b\): \((4\sqrt{3})^2/60=48/60=4/5\).

\(72/(2\sqrt{3})^2=72/12=6\).

\((2\sqrt{5})^2/160=20/160=1/8\).

\(90/(3\sqrt{5})^2=90/45=2\).

\((3\sqrt{5})^2/75=45/75=3/5\).

\(220/(2\sqrt{5})^2=220/20=11\).

\((2\sqrt{6})^2/48=24/48=1/2\).

\((2\sqrt{3})^2/30=12/30=2/5\).