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Btw this is SURDS I need a detailed answer with good explanation... look at the attached file​
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2 votes
Btw this is SURDS I need a detailed answer

with good explanation...
look at the attached file​

Btw this is SURDS I need a detailed answer with good explanation... look at the attached-example-1
User Andrii Lutskevych
by
8.2k points

1 Answer

5 votes

Answer:

See below

Explanation:


\displaystyle ((4-√(3))(4+√(3)))/(√(13))\\\\=(16-3)/(√(13))\\\\=(13)/(√(13))\\\\=(13)/(√(13))\cdot(√(13))/(√(13))\\\\=(13√(13))/(13)\\\\=√(13)

Note that
(4-√(3))(4+√(3))=4^2-√(3)^2=16-3=13 is a difference of squares

User Steve Rowe
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