3次根号(24×45×200)步骤

问题描述:

3次根号(24×45×200)
步骤

(24*45*200)^(1/3)
=(4*6*5*3*3*20*10)^(1/3)
=(4**5*3*3*20*60)^(1/3)
=(4**5*3*60*60)^(1/3)
=(4**5*3*60*60)^(1/3)
=(60*60*60)^(1/3)
= 60

24×45×200=3×9×8×8×25×5=3³×4³×5³
所以3次根号(24×45×200)=60

3次根号(24×45×200)
=3次根号(3×8×5×9×8×25)
=3次根号(3×9×8×8×25×5)
=3次根号(3³×4³×5³)
=3×4×5
=60

=3 * √2 * 45 * 200 * √(144/9) =3 * √2 * 45 * 200 * 12/3 =152712 (√2取1.414)