Square root of x?

Question

Here is some mathematical notations written below

Rem(x/y)=remainder after y divides x.

QUT(x/y)=Integer quotient after y divides x , and

SQ(x)=Smallest integer >Square root of x

I dont understand SQ(x)

what it wants to say ....can you give one example for the same .
does SQ(x) means ceiling / flooring of integers .

I need an example to understand this expression.

this is not clear

thank you

Answer 1

The sqrt of 16 is 4. The smallest integer >4 is 5

The sqrt of 23 is 4.795831523...... The smallest integer greater than 4.795831523...... is 5.

Answer 2

basically, to the factors of say 25 you divide it by something until the answer is less than root 25
i.e you gone half way.
eg,
25/1 OK
25/2 nope
25/3 nope
25/5 OK
but root 25 = 5
so you have gotten all the factors,
yes it is a floor.