
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Read the following information:

$\because \sqrt {4} \lt \sqrt {7} \lt \sqrt {9}$, which means $2 \lt \sqrt {7} \lt 3$,

$\therefore$ The integer part of $\sqrt {7}$ is $2$, and the decimal part is $(\sqrt {7}-2)$.

After observing the above pattern, try to solve the following problem:

If the decimal part of $\sqrt {5}$ is $a$, and the decimal part of $\sqrt {13}$ is $b$, find the value of $a+b-\sqrt {5}$.

Present the answer in LaTex format: \boxed{Your answer}
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