Question

What does 3√2 or x√3 mean?

Answer 1

3√2 means 3 times the square root of 2
x√3 means x times the square root of 3

Answer 2

Still kinda confused... @Vocaloid

Answer 3

√ means square root, so √2 means the square root of 2
3√2 means 3 times the square root of 2

Answer 4

is that a bit more clear?

Answer 5

I get it now, I just dont know how its used in questions.

Answer 6

can you give an example?

Answer 7

Maybe the pythagorean theorem? Im confused with that too. My tutor gave the the two triangles and it looks like this:

Answer 8

@Vocaloid

Answer 9

oh, in that case, let's look at the left triangle first

Answer 10

this is a special triangle called a 30-60-90 triangle. the "x" on the bottom represents the length of the side across from the 30 degree angle. the x√3 on the left side means that side is x times √3, and the 2x on the hypotenuse means that the hypotenuse is 2 times the side x

Answer 11

x can be anything

Answer 12

so, for example, if the side across from the 30 degree angle is 2, then the side across from the 60 degree angle is 2√3 and the hypotenuse is 4

Answer 13

so 2√3 is the simplest form for that sides value?

Answer 14

meaning it wont be just a number, right? itll always be something √3

Answer 15

well yea, in this case, but not always

Answer 16

if x = √2 then x√3 = √2√3 = √6

Answer 17

it really depends on what x is

Answer 18

ok, but if x is an integer it will be √3, only if its another radical it can be simplified

Answer 19

right

Answer 20

ok, im almost gwtting this but how would you use this in a problem, like how do you multiply or add x√y?

Answer 21

what do you mean? if it's something like 2√3 you just leave it the way it is

Answer 22

like:

Answer 23

@Nnesha gtg, would you mind taking over?

Answer 24

what's the statement for first one ?
like what we have to do with that pic ?

Answer 25

the pythagorean theorem @Nnesha