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What is the exact value for the expression V52 - V13 + V117 ? Simplify if possible. (5 points)
O 413
O V13
O 21/39
O 839
PLS DON'T ANSWER IF YOU DON'T KNOW

Respuesta :

mhanifa

Answer:

  • [tex]4\sqrt{13}[/tex]

Step-by-step explanation:

  • [tex]\sqrt{52} -\sqrt{13} +\sqrt{117} =[/tex]
  • [tex]\sqrt{4*13} -\sqrt{13} +\sqrt{9*13} =[/tex]
  • [tex]2\sqrt{13}-\sqrt{13} +3\sqrt{13} =[/tex]
  • [tex]4\sqrt{13}[/tex]
Eduard22sly

The exact value for the expression √52 – √13 + √117 given in the question above is 4√13

Surd operation

a√b + c√b = (a + c)√b

With the above information in mind, we can simplify the express given in the question above.

Data obtained from the question

  • √52 – √13 + √117
  • Simplification =?

How to simplify the expression

√52 – √13 + √117

Recall

√52 = √(4 × 13) = 2√13

√117 = √(9 × 13) = 3√13

Thus

√52 – √13 + √117 = 2√13 – √13 + 3√13

√52 – √13 + √117 = (2 – 1 + 3)√13

√52 – √13 + √117 = 4√13

Learn more about surd:

https://brainly.com/question/24700530

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