What is 9 square root of 40 simplified?
February 20th, 2023
##9sqrt(40)## = ##9sqrt(4*10)## = ##9*2sqrt(10)##=##18sqrt(10)##
This is because ##sqrt(A) times sqrt(B) = sqrt(AtimesB)##
so by splitting up 40 into its factors, of 4 and 10
and 4 is a perfect square
then
##sqrt(40) = sqrt(4) times sqrt(10)## = ##2sqrt(10)##
It follows then that ##9sqrt(40) = 9 times 2sqrt(10)##
which is ##18sqrt(10)##