Verified answer

first you start off by multiplying out everything under the square root sign

so 15x20x12=3600

then you take the square root of 3600 which is 60

so thats your answer

so you need to find factors that are perfect squares. 15 doesn't have any

but 20 has 4 and 12 also has 4

so when you factor out of a square root you must actually take the square root (ALWAYS positive one)

so √ 15*20*12 = √ 15*4*5*4*3 = √ 3*5*4*5*4*3 = √ 9*25*16 = 3*5*4 = 60

√ (15*20*12)

From here lets factor all of our numbers

√ (15*20*12) = √ (3*5*2*2*5*3*2*2) = √ (2*2*2*2*3*3*5*5)

We can take each pair and pull them out of the square root, like √ (2*2) = 2

so

√ (2*2*2*2*3*3*5*5) = 2*2*3*5 = 60

√(15*20*12)=

=√(3*5*5*4*3*4)=

=3*5*2*2=15*4=60

√(15 * 20 * 12)

√(3*5 * 4*5 * 3*4)

√(3*3 * 4*4 * 5*5)

√(3² * 4² * 5²)

3 * 4 * 5

60

sqrt( 15*20*12)= sqrt(3*5*2*2*5*2*2*3)

= sqrt( 2*2 *2*2 *3*3 *5*5)

= sqrt(2*2) * sqrt (2*2) * sqrt (3*3) * sqrt (5*5)

= 2 * 2 * 3 * 5 = 60