sqrt ( 4 / 32 ) =
sqrt [ 4 / ( 4 * 8 ) ] =
sqrt ( 1 / 8 ) =
sqrt [ 1 / ( 4 * 2 ) ] =
sqrt ( 1 ) / [ sqrt ( 4 ) * sqrt ( 2 ) ] =
1 / 2 sqrt ( 2 )
2 pi sqrt ( 4 / 32 ) =
2 pi * 1 / 2 sqrt ( 2 ) =
pi / sqrt ( 2 ) =
_________________________________
Remark:
sqrt ( 2 ) = 2 ^ ( 1 / 2 )
1 / sqrt ( 2 ) = 2 ^ ( - 1 / 2 )
_________________________________
pi * 2 ^ ( - 1 / 2 )
t = 2 pi sqrt ( 4 / 32 ) = pi * 2 ^ ( - 1 / 2 )
Rewrite this formula using rational exponents.
t = 2 pi sqrt 4/32
Thanks!!!
1 answer