Apakah punca kuasa dua sebanyak 156.25?

Jawapan:

#sqrt (156.25) = 25/2 #

Penjelasan:

#15625 = 5^6#

Jadi #156.25 = (5^6)/100 = (5^6)/(2^2*5^2) = 5^4/2^2#

Jika #a, b> = 0 #, kemudian #sqrt (a / b) = sqrt (a) / sqrt (b) #

Jika #a, b, c> 0 # kemudian # a ^ (bc) = (a ^ b) ^ c #

Jadi #sqrt (156.25) = sqrt (5 ^ 4/2 ^ 2) = sqrt (5 ^ 4) / sqrt (2 ^ 2) = sqrt ((5 ^ 2) ^ 2) / sqrt (2 ^ ^ 2/2 = 25/2 #