# algebra 1 help

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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

• algebra 1 help -

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

• algebra 1 help -

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

• algebra 1 help -

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