Question

-9√28a^2 * 1/3√63a
step by step needed.
I just don't understand it.

Answer 1

\[-9\sqrt{28a^2}~~\times~~\frac{1}{3}\sqrt{63a}\]Lets take one thing at a time.

Answer 2

\[-9\sqrt{28a^2}~~~~~->~~~~~-9 \times \sqrt{7 \times 4 \times a^2}\]

Answer 3

So far so good?

Answer 4

So what is the - > sign for?

Answer 5

that means, "turns into"

Answer 6

OH. okay I get it :)

Answer 7

\[~~->~~~~~~-9 \times \sqrt{7} \times \sqrt{4} \times \sqrt{a^2}\]
(say something like OK, or anything, so that I know you are following every time.)

Answer 8

ok :)

Answer 9

I got disconnected, sorry.

Answer 10

That's okay :) It's happened to me a few times ahah

Answer 11

\[-9 \times \sqrt{7} \times \color{red} {\sqrt{4}} \times \color{red} { \sqrt{a^2} }\]\[-9 \times \sqrt{7} \times \color{red} {\sqrt{2^2}} \times \color{red} { \sqrt{a^2} }\]\[-9 \times \sqrt{7} \times \color{red} {2} \times \color{red} { a }\]\[-18a \times \sqrt{7}\]

Answer 12

So far?

Answer 13

Great :)

Answer 14

\[-18a \sqrt{7}\]is the first part, lets work on the second part.

Answer 15

\[ \frac{1}{3}\sqrt{63a}\]

Answer 16

okay

Answer 17

\[\frac{1}{3} \times \sqrt{9 \times 7 \times a}\]\[\frac{1}{3} \times \sqrt{9} \times \sqrt{7a}\]\[\frac{1}{3} \times \sqrt{3^2}\times \sqrt{7a}\]\[\frac{1}{3} \times 3 \times \sqrt{7a}\]\[1 \times \sqrt{7a}\]\[\sqrt{7a}\]

Answer 18

okay :)

Answer 19

So you have 2 parts \[\color{blue} {-18a \sqrt{7} } \times \color{red} {\sqrt{7a } }\]first part is in blue, the second is in red.

Answer 20

\[\color{blue} {-18a \sqrt{7} } \times \color{red} {\sqrt{7 \times a} }\]\[\color{blue} {-18a \sqrt{7} } \times \color{red} {\sqrt{7} } \times \color{red} {\sqrt{a} }\]combine the red and blue sevens,

Answer 21

okay :)

Answer 22

My connection again.

Answer 23

\[-18a \times \sqrt{7} \times \sqrt{7} \times \sqrt{a}\]\[-18a \times \sqrt{7^2} \times \sqrt{a}\]\[-18a \times 7 \times \sqrt{a}\]\[-126a \times \sqrt{a}\]\[-126a \sqrt{a}\]

Answer 24

I was right! Thank you so much

Answer 25

Anytime!