Question

Find the area of a rectangular object which has a length of 4√2 inches and a width of 6√6 inches.

Explain, in complete sentences, how you arrived at the simplified answer and give the final solution in simplified radical form.

Answer 1

@AriPotta

Answer 2

The area of a rectangle is L x W, so take your 4√2 and multiply it by your 6√6, how far have you gotten in your solution?

Answer 3

24√12***

Answer 4

Yes, but now you can simplify the expression under the radical more.

Answer 5

6√2

Answer 6

Not quite. You have 24 √12, which means that you have 24 √(4*3)

Answer 7

Which means that you have 24 * √4 * √3

Answer 8

Take a look at the last response... What can you do with that?

Answer 9

I really dont know

Answer 10

Do you see how \[\sqrt{12}\] is just \[\sqrt{4*3}\]

Answer 11

Yes

Answer 12

And do you see how you can break them up like \[\sqrt{4}\times\sqrt{3}\]

Answer 13

yes

Answer 14

What is the square root of 4?

Answer 15

2

Answer 16

Right, so now you have \[24\times 2 \times \sqrt{3}\]

Answer 17

ok

Answer 18

And your final answer is?

Answer 19

48√3

Answer 20

Precisely. Good job. :)