#sqrt(150)+sqrt(40)#

#sqrt(25*6)+sqrt(40)# #color(blue)("Find a factor of 150 that is also a perfect square")#

#5sqrt(6)+sqrt(40)# #color(blue)("Since 25 is a perfect square, pull out a 5")#

#5sqrt(6)+sqrt(10*4)# #color(blue)("Find a factor of 40 that is also a perfect square")#

#5sqrt(6)+2sqrt(10)# #color(blue)("Since 4 is a perfect square, pull out a 2")#

A perfect square is a number that can be pulled out of a radical by multiplying a constant together twice #(5*5=25)#.

#sqrt(6)# and #sqrt(10)# can't be simplified since there are no factors of 6 or 10 that are perfect squares.