Question

multiply and simplify by factoring
4root 10,000 * 4root 100,000

Answer 1

root of 10,000 is 100 x 10 which is 10 root(10) root of 100,000 is 100 x 100 which is 100 40root(10) + 400

Answer 2

4 sqrt 10,000 * 4 sqrt 100,000

Answer 3

\[\sqrt{10,000}= \sqrt{100\times10} = 10\sqrt{10}\]

\[\sqrt{100,000}= \sqrt{100\times10} = 100\]

Answer 4

\[40\sqrt{10} \times400 = 16,000\sqrt{10}\]

Answer 5

4 on top of the sqrt sign 10,000

Answer 6

yeah so that 4 is multiplied by 10 that we brought out of the square root sign to get 40sqrt(10)

Answer 7

ok

Answer 8

do you get it?

Answer 9

not really

Answer 10

so what is the answer

Answer 11

the answer is 16,000sqrt(10)

Answer 12

got it thanks

Answer 13

I have 7 more questions is it ok to post them?

Answer 14

lol yeah go ahead...I'll do a few with you and make sure you get it so that you can do the rest.

Answer 15

thanks :-)

Answer 16

There's no limit to # questions you can post..you're welcome

Answer 17

sounds good

Answer 18

Add simplify by collecting like radical terms, if possible. Assume that all expressions under radicals represent non-negative numbers
4 sqrt y + 3 sqrt y =

Answer 19

carla is it
\[\sqrt[4]{10000}\] or
\[4\sqrt{10000}\]?

Answer 20

Okay..so before you can add any radical term you have to make sure that the expression in the radials are the same. In this case they are we have y in both square roots. So all we have to do is to add the coefficient of the square roots which are 4 and 3.
\[4\sqrt{y} + 3\sqrt{y} = 7\sqrt{y}\]

Answer 21

yeah satellite it keyboard error for my first solution so its not correct.
Carla are you with me so far?