Simplifying a radical with complex fractionsSo I understand to simplify this: − 3 2 t...

Waldronjw

Waldronjw

Answered

2022-07-04

Simplifying a radical with complex fractions
So I understand to simplify this:
3 2 t 4 | 1 2 t 3 | 1 4 t 6 1
I can just multiply
3 2 t 4 | 1 2 t 3 | 1 4 t 6 1 2 t 4 2 t 4
and get
3 t 1 4 t 6 1
But how do you simplify further getting rid of the complex fraction inside the radical?

Answer & Explanation

haingear8v

haingear8v

Expert

2022-07-05Added 13 answers

3 2 t 4 | 1 2 t 3 | 1 4 t 6 1 4 t 6 4 t 6 first step will be to get rid of the fraction inside the radical. Note that 4 t 6 = | 2 t 3 |
3 2 t 4 | 2 t 3 | | 1 2 t 3 | 1 4 t 6 1 4 t 6 1 4 t 6 Then we get the radical outside of the numerator.
3 2 t 4 | 2 t 3 | 1 4 t 6 | 1 2 t 3 | ( 1 4 t 6 ) | 2 t 3 | | 2 t 3 | Now I am taking on what you did in the first step. I think it is best to attack the messiest parts first.
3 2 t 4 ( 4 t 6 ) 1 4 t 6 ( 1 4 t 6 ) 6 t 2 1 4 t 6 ( 1 4 t 6 )
gaiaecologicaq2

gaiaecologicaq2

Expert

2022-07-06Added 6 answers

3 2 t 4 | 1 2 t 3 | 1 4 t 6 1 = 3 2 t 4 | 1 2 t 3 | 1 4 t 6 4 t 6 = 3 2 t 4 | 1 2 t 3 | 1 4 t 6 4 t 6 = 3 2 t 4 1 2 | t | 3 1 4 t 6 2 | t | 3 = 3 2 t 4 1 4 t 6 4 t 6 = 3 2 t 4 × 4 t 6 1 4 t 6 = 6 t 2 1 4 t 6 .

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