Question

Simplify completely sqrt12+sqrt50-sqrt48

Answer 1

might wanna think about seeing if there are any perfect squares hiding in the factors

Answer 2

50 ;O ?

Answer 3

... not quite

if you list the perfect squares (1^2, 2^2, 3^2, 4^2, ...) its easier to see if they can factor into those things

Answer 4

1^2 = 1 ; that ones a pointless one

2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25

those should give us enough to work with

Answer 5

now take sqrt(12)

can 12 be factored into a perfect square times something else?

Answer 6

uhhhh 12 ? to 144

Answer 7

12^2 does equal 144, but my thought prolly wasnt clear enough

can we take any of the perfect squares from the list, and make 12?

Answer 8

4*x = 12
16*x=12
25*x=12

like this

Answer 9

4x3 ?

Answer 10

good; lets use that to simplify; sqrt(12)

sqrt(12) = sqrt(4x3)

sqrt(4x3) = sqrt(4) x sqrt(3)

sqrt(4) x sqrt(3) = 2sqrt(3) and thats as far as we can go with that one

notice that finding a perfect square factor allowed us to move it to the ouside in the end

Answer 11

can you try out the same concept with: sqrt(50)

Answer 12

25 right ?

Answer 13

yes, 25x2

sqrt(25x2) = sqrt(25) x sqrt(2)

sqrt(25) x sqrt(2) = 5sqrt(2)

very good this gets us to

2sqrt(3) + 5sqrt(2) - sqrt(48)

we just have the 48 part to deal with now

Answer 14

uhh 24 ?

Answer 15

24 aint a perfect square, so its not going to help us out :)

Answer 16

oh so its 5sqrt2-2sqrt3

Answer 17

remarkably yes

Answer 18

awwe ^,^ ! YES! thank you !

Answer 19

youre welcome :) and good luck