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What is the difference between $\sqrt{625+4}$ and $\sqrt{625} + \sqrt{4}$?
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From the properties of surds you notice that surds cannot be added or subtracted. The numerical value of those $2$ is not the same. If there's an operation sign like addition or subtraction, each surd acts as a separate term. $\sqrt{(65)} + \sqrt{(4)}$ gives $2+\sqrt{(65)}$ where as $\sqrt{(65+4)}$ allows us to work what's inside the root then take the square root of the result which is $\sqrt{(69)}$
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