Questions: Simplify. (sqrt(75)-10)/35

Solution Steps

To simplify the given expression, we need to break it down into simpler parts. First, simplify the square root term, then perform the arithmetic operations.

We start with the expression:

\[ \frac{\sqrt{75} - 10}{35} \]

First, we simplify \( \sqrt{75} \):

\[ \sqrt{75} = \sqrt{25 \cdot 3} = 5\sqrt{3} \]

Now, substituting back into the expression, we have:

\[ \frac{5\sqrt{3} - 10}{35} \]

Calculating the value of the numerator:

\[ 5\sqrt{3} - 10 \approx -1.339746 \]

Now, we divide the result by 35:

\[ \frac{-1.339746}{35} \approx -0.038278 \]

Final Answer