Question

Simplify the square root of 189. - the square root of 21. + the square root of 84

Answer 1

i think you get everything in terms of the square root of 21

Answer 2

189 = 13.74772708

Answer 3

How though? @satellite73

Answer 4

You want to figure this out, @Elise_a18
\[\sqrt{189}-\sqrt{21}+\sqrt{84}\]?

Answer 5

correct :)

Answer 6

@k_lynn

Answer 7

nope

Answer 8

i just need to simplify the radicals, not solve

Answer 9

@k_lynn @Kainui @sammixboo @sleepyhead314

Answer 10

189 is 9 times 21
84 is 4 times 21

Answer 11

Ok, so we have \(\color{blueviolet}{\sqrt{189}-\sqrt{21}+\sqrt{84}}\)

Now, let me do the next step for ya

\(\color{blueviolet}{\sqrt{189}-\sqrt{21}+\sqrt{84}}\)

\(\color{blueviolet}{\sqrt{21\times9}-\sqrt{21}+\sqrt{21\times4}}\)

\(\color{blueviolet}{\sqrt{21}\sqrt{9}-\sqrt{21}+\sqrt{21}\sqrt{4}}\)

Now, what is the square root of 9 and 4?

Answer 12

I am awful an explaining how to solve radicals, so I am trying my best Dx

Answer 13

:O PURTY LATEX

Answer 14

I am making sure what I am doing is correct also, so it might take me a little extra time

Answer 15

You're doing fine Sammiiiii :3 ................3 and 2

Answer 16

Otay! :D

Answer 17

Right! So

\(\color{blueviolet}{\sqrt{21}\sqrt{9}-\sqrt{21}+\sqrt{21}\sqrt{4}}\)

\(\color{blueviolet}{3\sqrt{21}-\sqrt{21}+2\sqrt{21}}\)

**remember \(\color{blueviolet}{\sqrt{21}}\) is the same as \(\color{blueviolet}{1\sqrt{21}}\), so we are going to use that**

\(\color{blueviolet}{3\sqrt{21}-1\sqrt{21}+2\sqrt{21}}\)

Answer 18

Let me refresh real quick. Highlighting isn't working D:

Answer 19

OK back

Answer 20

Now after we have

\(\color{blueviolet}{3\sqrt{21}-1\sqrt{21}+2\sqrt{21}}\)

Let's look at the numbers that are not a radical.

\(\color{blueviolet}{3\color{black}{\sqrt{21}}-1\color{black}{\sqrt{21}}+2\color{black}{\sqrt{21}}}\)

\(\color{blueviolet}{3-1+2}\)

What's 3 - 1 + 2?

Answer 21

So it's be \[\sqrt[4]{21}\] ? :D

Answer 22

Almost! Just got the 4 in the wrong place.

So 3 - 1 + 2 = 4. After that, you just plop the four right infront of the radical, because you are multiplying it. It isn't going ot be a pat of the radical though, so you would have \(\color{blueviolet}{4\sqrt{21}}\)

Answer 23

I haven't done radicals in a long time hehaha e-e I forgot what the different number placements are called in a radical

Answer 24

\(\sqrt[4]{21} \not= 4\sqrt{21} \)

Answer 25

Yeah, understand Elise :P

I guess if you need anything else let me know