(√ 4 - √ 5) / 4 should be reduced to √ 4 / 4 - √ 5 / 4

(√ 4 - √ 5) / 4 should be reduced to √ 4 / 4 - √ 5 / 4

If you want to simplify like this, of course, it depends on how you calculate
(√4-√5)/4
=√4 / 4 -√5 /4
And √ 4 = 2
therefore
(√4-√5)/4
=√4 / 4 -√5 /4
=2/ 4 -√5 /4
=1/2 -√5 /4

How can fractions be reduced to ratios, such as 5 / 3 to 5 / 6

At the same time, multiplication by the least common multiple of denominator is first reduced to integer ratio and then simplified
For example: 5 / 3 and 5 / 6, the least common multiple of 3 and 6 is 6
So 5 / 3 × 6 = 10 5 / 6 × 6 = 5
So it's reduced to 10:5
It is reduced to 2:1