Math in Grade One is next semester. How to compare the sizes of numbers with root signs?
You can do the same subtraction, division and deformation on two numbers, so it is easy to see whether the result of subtraction is greater than zero, equal to zero or less than zero.
For example:
( 1)√5-3-(√5-2 )/2
=[(2√5-6-(√5-2 )]/2
=(√5-4)/2
=(√5-√ 16)/2
& lt0
So) √5-3 is less than √5-2 divided by 2.
(2)√2/2-√3/3
=3√2/6-2√3/6
=(√ 18-√ 12)/6
& gt0
So √2 divided by 2 is greater than √3 divided by 3.