How do you simplify #3sqrt(75)-5sqrt(100)#?

Question

2529 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-11T13:59:18

#15sqrt3-50#

Simply roots
#sqrt75#=#sqrt3*sqrt25#
=#5sqrt3#
#sqrt100=10#
Substitute back in
#3*5sqrt3-5*10=15sqrt3-50#

Answer 2 · 2018-04-11T14:01:29

#15 * sqrt (3) - 50#

You use the rule that:

#( a b ) ^x = a^x b^x#

In this case:

# 3 sqrt (75) - 5 sqrt (100) = 3 sqrt (25 * 3) - 5 * 10#

Using the above rule on the left hand part of the expression:

# 3 sqrt (25) sqrt (3) - 5 * 10 = 3 * 5 * sqrt (3) - 50#

# = 15 * sqrt (3) - 50#