zacksterlive
zacksterlive zacksterlive
  • 13-10-2021
  • Mathematics
contestada

I don't need answer I need explanation
[tex]28 - 10 \sqrt{3} [/tex]
equal to
[tex](5 - \sqrt{3} ) ^{2} [/tex]
Can someone explains​

Respuesta :

VirαtKσhli
VirαtKσhli VirαtKσhli
  • 13-10-2021

Given :-

  • 28 - 10√3

To Prove:-

  • 28 - 10√3 = (5-√3)²

Proof:-

Given expression ,

  • 28 - 10√3 .

On splitting the rational part ,

  • 25 + 3 - 10√3
  • 5² + (√3)² - 10√3
  • 5² +(√3)² - 2*5*√3

As we know that ,

  • a² + b² - 2ab =(a-b)²

Hence,

  • ( 5 -√3)²

Hence proved ;!

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