roseschnaar
roseschnaar roseschnaar
  • 10-09-2021
  • Mathematics
contestada

[tex]\sqrt{99} + \sqrt{44}[/tex] in the form A[tex]\sqrt{B}[/tex]

Respuesta :

jcherry99
jcherry99 jcherry99
  • 10-09-2021

Answer:

answer 5sqrt(11)

Step-by-step explanation:

99 = 3 * 3 * 11

44 = 2 * 2 * 11

For every pair of equal prime factors under a square root sign, one can be take out and the other discarded.

sqrt(99) + sqrt(44)

sqrt(3 * 3 * 11) + sqrt(2 * 2 * 11)

Take a 3 out of sqrt (99) and a 2 out of square root(44)

3sqrt(11) + 2sqrt(11)

5 sqrt(11)

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