How do you simplify #[4sqrt500+1/2sqrt20]/(4sqrt20)#?
1 Answer
Jan 18, 2017
This simplifies to
Explanation:
Simplify the radicals.
#=(4sqrt(100 * 5) + 1/2sqrt(5 * 4))/(4sqrt(5 * 4))#
#=(4(10)sqrt(5) + 1/2(2)sqrt(5))/(4(2)sqrt(5))#
#=(40sqrt(5) + sqrt(5))/(8sqrt(5)#
Combine like terms:
#= (41sqrt(5))/(8sqrt(5)#
#=41/8#
Hopefully this helps!