Question

The value of $4^2 + \sqrt{8^2} - 4\sqrt{25} - 10 =$

• A. -32
• B. -6
• C. 12
• D. -25

Answer 1

Answer:

B. -6

The value of the given expression is -6.

$4^2 + \sqrt{8^2} - 4\sqrt{25} - 10$

1. Evaluate each individual term:

   • $4^2 = 16$

   • $\sqrt{8^2} = 8$ (the square root and square cancel each other out)

   • $4\sqrt{25} = 4 \times 5 = 20$ (since $\sqrt{25} = 5$)

2. Substitute these values back into the expression:
   $16 + 8 - 20 - 10$

3. Perform the operations from left to right:

   • $16 + 8 = 24$

   • $24 - 20 = 4$

   • $4 - 10 = \mathbf{-6}$