Question

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if possible

Answer 1

@AccidentalAiChan plz help

Answer 2

\[\sqrt{486} - \sqrt{24} + \sqrt{6}\]
Alright, that is what it looks like.
Now let's simplify these suckers.
22 - 4 + 2
Now PEMDAS (left to right, of course)
22 - 4 = 18
18 + 2 = 20
The exact value = 20.

Answer 3

that is not one of my answers

Answer 4

What are the answer choices?

Answer 5

2the square root of 2.

2the square root of 6.

6the square root of 2.

8the square root of 6.

Answer 6

satellite73 please help me i beg you

Answer 7

do u want to find the exact value of square root of 486 or squareroot of 24 + square root of 8 ?

Answer 8

Do you know how to factor?

Answer 9

i need to find the sqrt 486 - sqrt 24 + sqrt6

Answer 10

Okay first factor \(486\)

Answer 11

\[
486=2\times 243
\]

Answer 12

it's one whole expression

Answer 13

Keep doing this.

Answer 14

\[
486=2\times 243=2\times 3\times 81
\]

Answer 15

\[
=2\times3\times3\times27
\]

Answer 16

\[
=2\times 3\times 2\times 3\times 9
\]

Answer 17

\[
=2\times 3\times 3\times 3\times 3\times 3
\]

Answer 18

Does this make sense so far?

Answer 19

yes

Answer 20

Since we have these pairs of \(3\), we can pull them out.

Answer 21

\[
\sqrt{486}=\sqrt{2\times 3\times 3^2\times 3^2}=3\times 3\times \sqrt{2\times 3}
\]

Answer 22

\[
=9\sqrt{6}
\]

Answer 23

Make sense? @shinebrightlikeadigimon

Answer 24

oh my lord thank you so much can you help me with ither one? yes it does

Answer 25

We're not done until we do the other ones.

Answer 26

can you factor \(24\)?

Answer 27

yes 6 and 4

Answer 28

Okay keep factoring

Answer 29

You factor it to all primes.

Answer 30

Do you think you can finish it?
\[\sqrt{24}=\ldots \]

Answer 31

no

Answer 32

Do you know what a prime number is?

Answer 33

Since \(6\) and \(4\) are not prime, you can keep factoring.

Answer 34

yes so for 6 it would be 3 and 2 and for 4 it would be 2 and 2

Answer 35

so that comes out side of the sqrt right?

Answer 36

\[
\sqrt{24}=\sqrt{3\times 2\times 2^2}=2\sqrt{6}
\]

Answer 37

is it ok if you just give me the answer i have to go to sleep

Answer 38

plz