Question

$1) \sqrt{125 \times 80}$ $2) \: \sqrt{3.6 \times 810}$
решите по образцу образец на фото)​

$3) \: \sqrt{45 \times 80 \times 0.16}$
$4) \: \sqrt{98 \times 24 \times 27}$

Answer 1

$\sqrt{125 \times 80} = \sqrt{(25 \times 5) \times (16 \times 5)} = 5 \times 5 \times 4 \times = 100$

$\sqrt{3.6 \times 810} = \sqrt{36 \div 10 \times 81 \times 10} = \sqrt{36 \times 81} = 6 \times 9 = 54$

$\sqrt{45 \times 80 \times 0.16} = \sqrt{(5 \times 9) \times (4 \times 2 \times 10) \times (16 \div 100)} = \sqrt{9 \times 4 \times 16 \times 5 \times 2 \times 10\div 100} = \sqrt{9 \times 4 \times 16 \times 100 \div 100} = \sqrt{9 \times 4 \times 16} = 3 \times 2 \times 4 = 24$

$\sqrt{98 \times 24 \times 27} = \sqrt{(49 \times 2) \times (6 \times 4) \times (9 \times 3)} = \sqrt{49 \times 4 \times 36 \times 9} = 7 \times 2 \times 6 \times 3= 252$