Question

Simplify.square root of 10 times square root of 8

Answer 1

\[\sqrt{10} \times \sqrt{8} = \sqrt{10 \times 8}\]

first step

Answer 2

what do you think we'd do next?

Answer 3

no clue I'm terrible at radicals @TylerD

Answer 4

well the \[\sqrt{10 \times 8}\] we can evalute to = \[\sqrt{80}\]

Answer 5

when dealing with radicals we do something like this
\[\sqrt{25} = \sqrt{5 \times 5}\]

Answer 6

when there are 2 of the same number multiplied by eachother inside a square root, we move it outside, so in that case the square root of 25 becomes 5

Answer 7

makes sense

Answer 8

so for a larger number like 80 it takes a bit more work.

Answer 9

Whats the biggest square you can find that fits into 80?

Answer 10

however and easier way to do it

Answer 11

10 x 8 is already simplified for us

Answer 12

so rather then multiply to get 80 we could actually just break those numbers up

Answer 13

wow you're getting a metal thanks soo much

Answer 14

do you got it?

Answer 15

yes :) @TylerD

Answer 16

can you help with a couple of more? you don't have too

Answer 17

ya i can help with one more

Answer 18

thats not an option so i guess its none of the above

Answer 19

square root of 18

4 square root of 5

square root of 80

None of the above

Answer 20

well
\[\sqrt{80} = \sqrt{2 \times 2 \times 2 \times 2 \times 5}\]

Answer 21

so we move 2 2's out it becomes 4sqrt(5) my error

Answer 22

For the original answer I got 4 times square root of 5

Answer 23

yes you were right

Answer 24

so none of the above is correct @TylerD

Answer 25

B

Answer 26

no 4sqrt5

Answer 27

we have four 2's times 5 inside the square root

so we have 2 pairs of 2's

when you move something outside of the square root your multiplying