Question

Simplify:...

Answer 1

lol

Answer 2

Simplify:

7 sqrt3 - 4 sqrt6 + sqrt 48 - sqrt54

11 square root of 6 end root minus 7 square root of 12

11 square root of 3 end root minus 7 square root of 6

negative 3 square root of 9

4 square root of 9

Answer 3

let me see how you simplify sqrt(48) and simplify sqrt(54).

Can you simplify those 2 for me?

Answer 4

14.276?

Answer 5

No. You have to break down radicals, not use a calculator.

Answer 6

oh yea srry :D

Answer 7

48 = 24 = 12 =6 = 3?

Answer 8

sqrt(48) = sqrt (16) times sqrt(3) (16 x 3 = 48)
= 4 sqrt(3) Since sqrt (16) = 4

Answer 9

Now you try ...break down sqrt(54).

Answer 10

how did you get 16?

Answer 11

16 is a perfect square.

When breaking down a radical..you are looking for 2 numbers that when you multiply them you get 48, but one of the numbers should be the highest possible perfect square.

so 16 x 3 = 48...where 16 is the highest perfect square.

Now, you try to simplify sqrt(54).

Answer 12

18 x 3 = 54?

Answer 13

no wait 18 isn't a perfect square...

Answer 14

But 18 and 3 are not perfect squares! We need that one of the numbers should be the highest possible perfect square! Try again.

Break down sqrt(54).

Answer 15

9 x 6 = 54???

Answer 16

yes! so we say, sqrt (54) = sqrt(9) times sqrt(6)
= 3 sqrt(6)

Answer 17

Now we can do your problem............

Answer 18

i am not following you...

Answer 19

7 sqrt(3) - 4 sqrt(6) + sqrt(48) - sqrt(54)

= 7 sqrt(3) - 4 sqrt(6) + 4 sqrt(3) - 3 sqrt(6)

= 11 sqrt(3) - 7 sqrt(6)

because we combine like terms... 7 sqrt(3) + 4 sqrt(3) = 11 sqrt(3)

Answer 20

and -4 sqrt(6) - 3 sqrt(6) = - 7 sqrt(6)

Answer 21

Understand?

Answer 22

We break doiwn radicals...and combine like terms.

Answer 23

We did not break down sqrt(3) or sqrt(6) becuase they cannot be broken down further.

Answer 24

ohh ok i think i understand...

Answer 25

try some others for practice, as radicals is very very important!