Question

Which expression is equal to 7√28−5√63 ?

Answer 1

@Ultrilliam

Answer 2

@Zowie

Answer 3

Are there options?

Answer 4

And also do you know how to simplify radicals?

Answer 5

yeah there are options, but it will be hard to get them hang on

Answer 6

screenshot them

Answer 7

Or you can write them on the drawing board

Answer 8

−37√7

−11√7

−√7

√7

Answer 9

Ok first we're going to simplify 7√28
√28 can becomes √7 * √4 and √4 = 2
So the 2 comes outside and √7 remains as it is
√28 = 2√7
We already have a 7 from before `7√28` so now we just combine `7√28=7*2√7=14√7`

So we got that simplified
Now we need to simplify 5√63

Answer 10

alright

Answer 11

What numbers multiplied together give you 63?

Answer 12

7 and 9

Answer 13

Right and are either 7 or 9 a perfect square?

Answer 14

7 i think

Answer 15

What is √7 = ?

Answer 16

2.64

Answer 17

So not a perfect square because it has to be a whole number
√9 = 3 because 3 * 3 = 9 so that is a perfect square so:
-5√63 -> -5* √7 * √9 - > -5 * √7 * 3
Move 3 to the from and multiply to the -5
- 5 * 3 * √7
-15 * √7 = -15√7
So 7√28 was simplified to 14√7 and -5√63 was simplified to -15√7
14√7 - 15√7
We're just going to subtract 14 - 15 which gives you -1
So -1√7 = `-√7`

Answer 18

Factors of 162?

Answer 19

i guess

Answer 20

Lol I'm asking what are the factors?

Answer 21

i dont really know...

Answer 22

What numbers multiplied together give 162?

Answer 23

uh... 9 and 2?

Answer 24

9*2 = 18 not 162

Answer 25

oops...

Answer 26

81 * 2 = 162 and 81 is a perfect square because √81 = 9
So 9 comes out and the 2 stays in
9√2x^3y^2
√x^3 = x√x
√y^2 = y
So bring whatever is simplified outside and leave the rest in
\(\bf 9xy\sqrt{2x}\)