If the expression #(3^d*sqrt5)/(3^2*sqrt45)# is equal to 3, what is the value of d?
1 Answer
Dec 16, 2016
Explanation:
Set up as an equation:
#(3^d * sqrt(5))/(3^2 * sqrt(9 xx 5)) = 3#
#(3^d * sqrt(5))/(9 * 3sqrt(5)) = 3#
#(3^d * sqrt(5))/(27sqrt(5)) = 3#
#3^d * sqrt(5) = 81sqrt(5)#
#3^d = 81#
#3^d = 3^4#
#d = 4#
Hopefully this helps!
