Simplify the following radical expression?

Question

(2radical6)(5 radical3)


I don;t really understand how to do radicals so could you explain how you did it?

Answer 1

10radical18
30radical2

Answer 2

To multiply radicals you multiply the outside two terms, in this case 2 and 5. Then you multiply the numbers under the radical and keep them under the radical. So now you have

10 root 18

Now, if they ask you to simplify I'm assuming they mean rationalize. To do this you see if two radicals, one of which being a perfect square, can be multiplied together to form the number under the radical. In this case, root9 and root2 multiply together to form 18. You can then take out a 3 because the root9 simplifies and therefore you get

30root2

Hope this helps! Sorry it was a little confusing

Answer 3

1) multiply the outside numbers and get 10

2) multiply the numbers inside the radical and get radical 18

3) Change radical 18 to radical 2x9
Take the square root of 9(which is 3) and multiply it times the outside 10 to get 30.

4) The final answer is 30 radical 2.

Answer 4

2x5 rad(6x3) = 10 rad(18) = 10 rad(9x2)
= 10 rad(9) rad(2)
= 30 rad(2)