Questions: Find the value of the indicated expression. 3 sqrt(16)-4 sqrt(4)

Solution Steps

To solve the given expression, we need to evaluate the square roots and then perform the arithmetic operations. Specifically, we will:

1. Calculate the square root of 16.
2. Calculate the square root of 4.
3. Multiply the results by their respective coefficients.
4. Subtract the second product from the first.

We start by calculating the square roots of the numbers in the expression: \[ \sqrt{16} = 4 \] \[ \sqrt{4} = 2 \]

Next, we multiply each square root by its respective coefficient: \[ 3 \cdot \sqrt{16} = 3 \cdot 4 = 12 \] \[ 4 \cdot \sqrt{4} = 4 \cdot 2 = 8 \]

Now, we subtract the second product from the first: \[ 3 \sqrt{16} - 4 \sqrt{4} = 12 - 8 = 4 \]

Final Answer