Question

вычислить 5 под корнем 32*24*1024​

Answer 1

$5 \sqrt{32 \times 24 \times 1024} = 5 \sqrt{ {2}^{5} \times {2}^{3} \times 3 \times {2}^{10} = } \\ = 5 \sqrt{ {2}^{18} \times 3} = 5 \times {2}^{9} \sqrt{3} = 5 \times 128 \sqrt{3} = 640 \sqrt{3}$