Question

question
find the sum of \\(\sqrt{9}\\) and \\(2\sqrt{25}\\) in simplest form. also, determine whether th
rational or irrational and explain your answer.

answer attempt 1 out of 2
result:
the result is because it be written as the rat
integers and its decimal expansion terminate or repeat.
submit answer

Explanation:

Step1: Simplify $\sqrt{9}$

The square root of 9 is a number that when multiplied by itself gives 9. We know that $3\times3 = 9$, so $\sqrt{9}=3$.

Step2: Simplify $2\sqrt{25}$

First, find the square root of 25. Since $5\times5 = 25$, $\sqrt{25}=5$. Then multiply by 2: $2\times5 = 10$.

Step3: Find the sum

Add the two simplified results: $3 + 10 = 13$.

Step4: Determine if rational

A rational number is a number that can be expressed as a fraction $\frac{a}{b}$ where $a$ and $b$ are integers and $b
eq0$. 13 can be written as $\frac{13}{1}$, so it is rational. Its decimal expansion is 13.0, which terminates.

Answer:

Result: $\boldsymbol{13}$
The result is rational because it can be written as the ratio of two integers (13 and 1) and its decimal expansion terminates.