Question

The value of $\sqrt{729} + \sqrt{1681} + \sqrt{576} - \sqrt{1849}$ is:

• A. 55
• B. 64
• C. 49
• D. 37

Answer 1

Answer:

C. 49

The value of the given expression is 49.

$\sqrt{729} + \sqrt{1681} + \sqrt{576} - \sqrt{1849}$

1. Find the value of each square root:

   • $\sqrt{729} = 27$ (since $27 \times 27 = 729$)

   • $\sqrt{1681} = 41$ (since $41 \times 41 = 1681$)

   • $\sqrt{576} = 24$ (since $24 \times 24 = 576$)

   • $\sqrt{1849} = 43$ (since $43 \times 43 = 1849$)

2. Substitute these values back into the expression:
   $27 + 41 + 24 - 43$

3. Perform the operations from left to right:

   • $27 + 41 = 68$

   • $68 + 24 = 92$

   • $92 - 43 = \mathbf{49}$