Question

simplifying square roots

1) find volume of this prism?
v=bwh

b=√12"
w=√6"
h=√8"

2)simplify: √576

3)simplify: √400

4)simplify: √256

5)simplify: √(1/4)


ex 2√5 + 6√5= 8√5

the answer has to be in √

but i don't understand it i got help by my teacher but i'm still confused

Answer 1

1)

V = b w h

V = sqrt ( 12 ) * sqrt ( 6 ) * sqrt ( 8 ) = sqrt ( 12 * 6 * 8 ) = sqrt ( 576 ) = 24 " ^ 3


2 )

576 = 24 * 24 = 24 ^ 2

sqrt ( 576 ) = sqrt ( 24 ^ 2 ) = + OR - 24


3 )

400 = 20 * 20 = 20 ^ 2

sqrt ( 400 ) = sqrt ( 20 ^ 2 ) = + OR - 20


4 )

256 = 16 * 16 = 16 ^ 2

sqrt ( 256 ) = sqrt ( 16 ^ 2 ) = + OR - 16


5 )

1 / 4 = ( 1 / 2 ) * ( 1 / 2 ) = ( 1 / 2 ) ^ 2

sqrt ( 1 / 4 ) = sqrt [ ( 1 / 2 ) ^ 2 ] = + OR - 1 / 2

Answer 2

for #1 why did you get a ^ isn't the final answer supposed to be a sqrt

Answer 3

That is maximum simplified answers.