Question

What is the exact value of the expression the square root 72. − the square root of 8. + the square root of 128.? Simplify if possible.
8the square root of 2.
12the square root of 2.
8the square root of 3.
12the square root of 3.

Answer 1

\[\sqrt{72}-\sqrt{8}+\sqrt{128}\]?

Answer 2

yup

Answer 3

you are going to get a bunch of terms with \(\sqrt{2}\) in them, so ignore the last two choices

Answer 4

ok

Answer 5

one by one
\[\sqrt{72}=\sqrt{36\times 2}=\sqrt{36}\sqrt{2}=6\sqrt{2}\]

Answer 6

clear or no?

Answer 7

clear so b ?

Answer 8

idk we are not nearly done
that was just one term !

Answer 9

what about \(\sqrt{8}\) ?

Answer 10

I don't know

Answer 11

it is clear that \(8=4\times 2\) ?

Answer 12

yes

Answer 13

which gives you \(\sqrt{8}=\sqrt{4}\sqrt{2}=2\sqrt{2}\)

Answer 14

so a

Answer 15

how about \(128\) ?

Answer 16

i have no idea if it is A or B, i know it is not C or D because they both have \(\sqrt3\) in them

Answer 17

we still have to figure out how to deal with \(\sqrt{128}\)

Answer 18

what is half of 128 ?

Answer 19

64

Answer 20

ok good
what is the square root of 64 ?

Answer 21

8