Charmber06
Charmber06 Charmber06
  • 30-12-2020
  • Mathematics
contestada

SIMPLE QUESTION
Evaluate:
(square root of 99 - square root of 11)^2

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 30-12-2020

Answer:

44

Step-by-step explanation:

[tex] (\sqrt{99} - \sqrt{11})^2 =  [/tex]

[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]

[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]

[tex] = (2\sqrt{11})^2 [/tex]

[tex] = 2^2 \times (\sqrt{11})^2 [/tex]

[tex] = 4 \times 11 [/tex]

[tex] = 44 [/tex]

Answer: 44

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