Removing perfect squares from a square root

[brazen garnet]

Per title, I want to learn how to remove perfect squares from some square root number, say sqrt 180. Would anyone like to teach me how to?

[brazen garnet]

@gritty stirrup

is this you

(i'm not sure but if you're the same guy as from the graph of function execution times then hey else just read over it)

[thin zenith]

welp just factor the number into it factors and delete any 2 numbers are the same

sry my english a bit bad but ill send a photo of 2 examples of it

[brazen garnet]

yes please

be as "step for step" as you can be i'd appreciate it

[thin zenith]

here is an example

[thin zenith]

np

[dark condor]

Factor our perfect squares

sqrt(180)
= sqrt(4x9x5)
= (2)(3)sqrt(5)
= 6sqrt(5)

[brazen garnet]

so where the identity sqrt(ab) = sqrt(a) * sqrt(b) holds true, it's a perfect square?

or how i understood it up to now is it's where the square root of a number is a whole number

right

[brazen garnet]

yes

[brazen garnet]

this looks valid but i can't read it

what should i be looking for during the process

[dark condor]

perfect squares

[brazen garnet]

right

was what i said before about perfect squares all correct?

6 sqrt 5 means 6 * sqrt(5) right

because sqrt 5 is irrational right

and we want to be able to write numbers easy

[dark condor]

yeah

[brazen garnet]

well

do you know how to teach me or

[thin zenith]

not always

[brazen garnet]

okay

[thin zenith]

as example u can say sqrt(2)*sqrt(3)=sqrt(6)