Despitemy seemingly intact ego, sometimes I LOOK at myself with self loathe, feeling guilty that such simple operations like radicalization of a fraction would fly over my head. I blame it on sleep deprivation, which is diminishing over time.
Reviewing some trigonometry, I stumbled upon this exercise on the excellent Free and Open Khan academy website.
___
Of course BC is equal to 5 since tan is 1 and the other side(opposite to the angle) is 5.
However, it is not clear how
5
___
√50
1
____
___
√2
But the answer is: radicalization, i.e. multiplying the unit-length denominator by the monomial(term). In other words square root of 50 divided by square root of 50 multiplied by 5 divided by square root of 50.
Here are the steps:
0,70710678118654752440084436210485
5
___
√50
Radicalization:
5·√50
____
50
Simplification:
√50
____
10
Factorization:
____
√5· 10
______
10
Square factorization:
__ ___
√5 · √10
___________
10
Reverse radicalization:
___
√5
_____
___
√10
Factorization
___
√5
_____
___
√2·5
Square factorization:
___
√5
_____
_ _
√2 · √5
Finally:
1
____
___
√2
Which radicalized equates to:
