help me with radicals please

[-Setro-]

so today my math teacher taught us radicals, and i had no idea what they were
i know they are square roots but i don't understand how to simplify them
can someone help?

[Ad Bot]

[Epicduke]

counter them with conservative and reactionary arguments

as i remember you have to find the perfect square thats divisible by the radical and then simplify it to the a whole number
so
√48
√16 √3
4 √3

i think

[K1ng_0f_N0thing]

I hate radicals. Wish I could help but I'm bad with math

[General]

First look at the number inside the root and try and simplify it into two multiples, one of the multiples being as small as they can be

For example √32 can become √(2x16)

That can also be written as √2 x √16

You then have to realise that 16 has a root, which is 4

so it becomes √2 x 4, which is 4√2

Its not something you wake up and are good at, you'll get used to it the more you work with them

[The Resonte!]

[dr_pepper]

Radical Man

[-Setro-]

haha, I was thinking of saying "wow radical man" to my teacher
thank you, could you leave one more example?

[General]

Ok say you have √164

Like I said, first step is to find 2 multiples in the root to make 164, one being the lowest possible

√164 can become √(2x82), the only problem is that neither 2 or 82 have an exact root, so we have to find another 2 multiples

√164 can then also become √(4x41), and here we have a multiple that has an exact root, 4...

So we do

√4 x √41

2 x √41

2√41.

[-Setro-]

Thanks!