abi091007 abi091007
  • 20-06-2022
  • Mathematics
contestada

Write (5-√5) (5-√5) in the form a+b√5, where a and b are integers.

Respuesta :

jimrgrant1 jimrgrant1
  • 20-06-2022

Answer:

30 - 10[tex]\sqrt{5}[/tex]

Step-by-step explanation:

(5 - [tex]\sqrt{5}[/tex] )(5 - [tex]\sqrt{5}[/tex] )

each term in the second factor is multiplied by each term in the first factor.

5(5 - [tex]\sqrt{5}[/tex] ) - [tex]\sqrt{5}[/tex] (5 - [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis

= 25 - 5[tex]\sqrt{5}[/tex] - 5[tex]\sqrt{5}[/tex] + 5 ← collect like terms

= 30 - 10[tex]\sqrt{5}[/tex]

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