Question

Solve
3 square root of 45 x cubed end root plus 2 square root of 12 end root plus square root of 27 end root minus 3 square root of 20 x cubed
Okay, I understand what you do when there are like terms but there isn't any in this one

Answer 1

you might have heard of this fancy thing called notation ....

Answer 2

Yes

Answer 3

you might want to post this in the writing section for a suitable translation :)

Answer 4

But this is a math problem

Answer 5

realy? i couldnt tell let me see if i can rewrite it

Answer 6

3 sqrt(45x^3) + 2 sqrt(12) +sqrt(27) -3 sqrt(20x^3)

Answer 7

Yes that is how it is written but idk how to solve when there are not any like terms

Answer 8

you reduce those sqrts and see if they got any likes about them

Answer 9

How do I reduce?

Answer 10

sqrt(45) for instance; does 45 have a perfect square factor?

Answer 11

Uh I don't think so

Answer 12

how would we check to see if it does instead of just guessing at it?

Answer 13

factor it out?

Answer 14

yep

Answer 15

what are the factors of 45

Answer 16

9 and 5

Answer 17

those lok nice; soo,

sqrt(9*5) = sqrt(9) * sqrt(5)

do either of these reduce?

Answer 18

yes the 9

Answer 19

into 3

Answer 20

good :) and does sqrt(x^3) reduce?

Answer 21

nope

Answer 22

lol, you sure? sqrt(x^2*x) = sqrt(x^2) * sqrt(x) might have a perfect square about it

Answer 23

Okay so it does..lol

Answer 24

this might take awhile ...

Answer 25

sooo

3 sqrt(45x^3) = 9sqrt(5x)

we agree?

Answer 26

yes

Answer 27

3 sqrt(45x^3) + 2 sqrt(12) +sqrt(27) -3 sqrt(20x^3)

9 sqrt(5x) + 2 sqrt(12) +sqrt(27) -3 sqrt(20x^3)

that 20x^3 looks like it might be a "like term" for our 45x^3 fiasco

Answer 28

does 20x^3 have any perfect square factors that we can reduce/simplify ?

Answer 29

4

Answer 30

4 and x^2 to make life a little quicker :)

Answer 31

9x sqrt(5x) + 2 sqrt(12) +sqrt(27) -6x sqrt(5x)

now we have "like terms"

the middle 2 wil work out in the same fashion

Answer 32

so the first half is 3x sqrt(5x) right?

Answer 33

yes

and a bit of trivia: "like terms" is a bad name for it, since the math of it calls them a greatest common factor

Answer 34

Okay and for the second half we have to factor out 12 and 27?

Answer 35

yes; into 4*3 and 9*3

Answer 36

so what do you do after that?

Answer 37

nothing different from what we did with the first 2 really

Answer 38

factor out the perfect squares and simplify and comdine

Answer 39

so its 7 sqrt 3?

Answer 40

+ 4 sqrt(3) +3sqrt(3)

yep, good job ;)

Answer 41

Thanks you so much, I'm sorry I'm just really bad at math

Answer 42

it takes practice, dedication, and six fingers on one hand ...