What does 3√2 or x√3 mean?

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What does 3√2 or x√3 mean?

Mathematics
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3√2 means 3 times the square root of 2 x√3 means x times the square root of 3
Still kinda confused... @Vocaloid
√ means square root, so √2 means the square root of 2 3√2 means 3 times the square root of 2

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is that a bit more clear?
I get it now, I just dont know how its used in questions.
can you give an example?
Maybe the pythagorean theorem? Im confused with that too. My tutor gave the the two triangles and it looks like this:
oh, in that case, let's look at the left triangle first
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
x can be anything
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
so 2√3 is the simplest form for that sides value?
meaning it wont be just a number, right? itll always be something √3
well yea, in this case, but not always
if x = √2 then x√3 = √2√3 = √6
it really depends on what x is
ok, but if x is an integer it will be √3, only if its another radical it can be simplified
right
ok, im almost gwtting this but how would you use this in a problem, like how do you multiply or add x√y?
what do you mean? if it's something like 2√3 you just leave it the way it is
@Nnesha gtg, would you mind taking over?
what's the statement for first one ? like what we have to do with that pic ?
the pythagorean theorem @Nnesha

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