Question

Does anyone here go to COnnections academy and can help me
I will give medal and fan

Answer 1

Please ask your question. There are many who can help.

Answer 2

I already did and No one would help me

Answer 3

I go to Connections academy:) But, as Preetha says, ask your question. I'll try my best, and so will do many other people!

Answer 4

Simplify the radical expression
\[3\sqrt{5} + 6\sqrt{45}\]

Answer 5

I have tried over and over again and I can't figure it out @SolomonZelman

Answer 6

the problem is \(\LARGE\color{purple}{ \bf 3 \sqrt{5} +6\sqrt{ 45} }\)

at first, simplify √45

\(\LARGE\color{purple}{ \bf \sqrt{ 45} = \sqrt{ 9 \times 5} = \sqrt{ 9} \times\sqrt{ 5}=3\sqrt{5}}\)
Correct?

Answer 7

That isn't one of the choices :/

Answer 8

\[9\sqrt{50}\]
\[21\sqrt{10}\]
\[6\sqrt{96}\]
\[21\sqrt{5}\]

Answer 9

Those are the choices
I got \[9\sqrt{50}\]

Answer 10

I know this is not one of the choices. The thing I said before, I was trying to go through the process with you.

What you got is incorrect, and you are clearly not following what I was trying to say over here.

Answer 11

Do you see how I simplified √45 ?

Answer 12

I understand that, But why do you have to change \[\sqrt{45}\]

Answer 13

Yes but how does that equal\[3\sqrt{5}\]

Answer 14

So that \(\large\color{black}{ \bf 3 \sqrt{5} }\) and √45 can be like terms, and so that I can add them.

Answer 15

Jessica, Solomon has shown you the first step. Now if you move sort(9) outside the sort, you'll get 3(sqrt5).

Answer 16

\(\LARGE\color{purple}{ \bf \sqrt{ 45} = \sqrt{ 5 \times 9}}\)
@JessicaBlakely CORRECT ?

Answer 17

Yes I get it now, so now how do we add them?

Answer 18

So now it looks like this correct?
\[3\sqrt{5 + 6} \sqrt{9 * 5}\]

Answer 19

Hold..

Answer 20

\(\LARGE\color{purple}{ \bf \sqrt{ 45} = \sqrt{ 5 \times 9}}\)

\(\LARGE\color{red}{ \bf \sqrt{ 5 \times 9}=\sqrt{ 9} \times \sqrt{ 5}}\)

\(\LARGE\color{green}{ \bf \sqrt{ 9} \times \sqrt{ 5} = \sqrt{ 3^{2}} \times \sqrt{ 5} }\)

\(\LARGE\color{royalblue}{ \bf \sqrt{ 3^{2}} \times \sqrt{ 5} =3\times \sqrt{ 5}=3\sqrt{ 5}}\)


verify and make sure that you get each step.

Answer 21

I do not get the green and blue part

Answer 22

I do now! you put an exponent on the 3 to equal 9?

Answer 23

yes!

Answer 24

\(\Huge\color{blue}{ \bf \sqrt{ 45}=3\sqrt{ 5} }\)

correct?

Answer 25

Yes! so wouldnt that cancel out the other \[3\sqrt{5}\]

Answer 26

\(\Huge\color{blue}{ \bf 6\sqrt{ 45}=6 \times(3\sqrt{ 5} )}\)

Answer 27

right?

Answer 28

Yes! and then we add 5?

Answer 29

or we times 5 by \[3\sqrt{5}\]

Answer 30

\(\LARGE \color{blue}{ \bf 3(6 \sqrt{ 5})=18\sqrt{ 5} }\)

Now.... \(\LARGE \color{red}{ \bf 3 \sqrt{ 5}+6\sqrt{ 45} }\) is the same thing as saying....

\(\LARGE \color{blue}{ \bf 3 \sqrt{ 5}+18\sqrt{ 5} }\)

\(\LARGE \color{blue}{ \bf 3 \sqrt{ 5}+18\sqrt{ 5}=(3+18)\sqrt{ 5}=21\sqrt{ 5} }\)