Question

Simplifying square roots.

Answer 1

Let's begin by using the distributive property. Can you tell me what you might do?

Answer 2

22.36067978-12.64911064

Answer 3

Woah there! Let's not plug it into a calculator just yet. Why don't you just multiply the outer term by both inner terms and tell me what you get?

Answer 4

10sqrt5

Answer 5

If that is a bit confusing, think of it as 3(4+5). That is the same as 3*4+3*5.

Answer 6

10sqrt5-(2sqrt5)^4

Answer 7

I think you meant a multiplication instead of a carrot sign next to the 4. But so far so good! Now how can you combine the two terms?

Answer 8

10sqrt5-4sqrt10

Answer 9

There you go, nice work!

Answer 10

Now let's simplify the 10 under the radical, can you split that into anything that might have a perfect square?

Answer 11

100?

Answer 12

wait you said split, sorry

Answer 13

Actually I apologize, I think you've already said the answer above. It seems it doesn't match up with any of the answer choices. Could you try none of the above and see if it is correct?

Answer 14

You can't get it to be a perfect square

Answer 15

I will let you know.