Question

add or subtract.
$3\sqrt{25} - 7 + \sqrt{5}$
$3\sqrt{25} - 7 + \sqrt{5} = \square$
(type an exact answer, using radicals as needed)

Explanation:

Step1: Simplify the square root

First, we simplify $\sqrt{25}$. Since $5\times5 = 25$, we have $\sqrt{25}=5$. Then the term $3\sqrt{25}$ becomes $3\times5$.
$$3\sqrt{25}=3\times5 = 15$$

Step2: Perform the arithmetic operation

Now we substitute back into the original expression: $3\sqrt{25}-7+\sqrt{5}=15 - 7+\sqrt{5}$.
First, calculate $15 - 7$ which equals $8$. So the expression simplifies to $8+\sqrt{5}$.

Answer:

$8 + \sqrt{5}$