Question

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Answer 1

Answer:

$6 + 5\sqrt{5}$

irrational

cannot

does not

Step-by-step explanation:

$5\sqrt{5} + 2\sqrt{9} =$

$= 5\sqrt{5} + 2 \times 3$

$= 5\sqrt{5} + 6$

$= 6 + 5\sqrt{5}$

Answer 2

Answer:

See below.

Step-by-step explanation:

First, find the sum:

$5\sqrt{5}+2\sqrt{9}=5\sqrt{5}+2(3)=5\sqrt{5} +6$

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.