Respuesta :

mathstudent55

Answer:

[tex] 6 + 5\sqrt{5} [/tex]

irrational

cannot

does not

Step-by-step explanation:

[tex] 5\sqrt{5} + 2\sqrt{9} = [/tex]

[tex] = 5\sqrt{5} + 2 \times 3 [/tex]

[tex] = 5\sqrt{5} + 6 [/tex]

[tex] = 6 + 5\sqrt{5} [/tex]

xKelvin

Answer:

See below.

Step-by-step explanation:

First, find the sum:

[tex]5\sqrt{5}+2\sqrt{9}=5\sqrt{5}+2(3)=5\sqrt{5} +6[/tex]

As long as part of the equation is irrational, the entire answer will also be irrational. Thus:

The result is irrational because it cannot be written [as] the ratio of two integers and its decimal expansion does not terminate or repeat.

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