sqrt(150)+sqrt(40)√150+√40
sqrt(25*6)+sqrt(40)√25⋅6+√40 color(blue)("Find a factor of 150 that is also a perfect square")Find a factor of 150 that is also a perfect square
5sqrt(6)+sqrt(40)5√6+√40 color(blue)("Since 25 is a perfect square, pull out a 5")since 25 is a perfect square, pull out a 5
5sqrt(6)+sqrt(10*4)5√6+√10⋅4 color(blue)("Find a factor of 40 that is also a perfect square")Find a factor of 40 that is also a perfect square
5sqrt(6)+2sqrt(10)5√6+2√10 color(blue)("Since 4 is a perfect square, pull out a 2")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)(5⋅5=25).
sqrt(6)√6 and sqrt(10)√10 can't be simplified since there are no factors of 6 or 10 that are perfect squares.
