Express w and 1 / w for w = 2 + 3 5 − 3...

Savanah Boone

Savanah Boone

Answered

2022-07-02

Express w and 1 / w for w = 2 + 3 5 3 in the simplest form with a rational denominator
Express the following in the simplest form (with a rational denominator)
i) w
ii) 1 w
I'm confused about (ii) question :/ pls help me.

Answer & Explanation

Jayvion Mclaughlin

Jayvion Mclaughlin

Expert

2022-07-03Added 14 answers

If w = 2 + 3 5 3 , then 1 w = 5 3 2 + 3 If you can do i, you should be able to do ii. The process is the same.
klipbodok6

klipbodok6

Expert

2022-07-04Added 1 answers

w = 2 + 3 5 3 = ( 2 + 3 ) ( 5 + 3 ) ( 5 3 ) ( 5 + 3 ) = 3 + 6 + 10 + 15 5 3 = 1 2 ( 3 + 6 + 10 + 15 ) 1 w = 5 3 2 + 3 = ( 5 3 ) ( 3 2 ) ( 2 + 3 ) ( 3 2 ) = 15 10 + 6 3 3 2 = 15 10 + 6 3

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