How do you simplify #5sqrt(12)+sqrt(75)#?
2 Answers
Apr 5, 2018
Explanation:
Simplifying...
Simplifying again:
Adding terms:
Since the roots are the same, just add the numbers in front...
Apr 6, 2018
Given
#5sqrt12+sqrt75#
Factorizing numbers under the root sign we get
#5sqrt(2xx2xx3)+sqrt(3xx5xx5)#
Paring number which can be taken out of root sign
#5sqrt(bar(2xx2)xx3)+sqrt(3xxbar(5xx5))#
#=>5xx2sqrt(3)+sqrt(3)xx5#
#=>10sqrt(3)+5sqrt(3)#
#=>sqrt(3)(10+5)#
#=>15sqrt(3)#