Question

Simplify $\sqrt{625} - \sqrt{324} + 33^2$.

• A. 1906
• B. 1096
• C. 1609
• D. 1069

Answer 1

Answer:

B. 1096

The simplified value of the given expression is 1096.

$\sqrt{625} - \sqrt{324} + 33^2$

1. Evaluate each individual term:

   • $\sqrt{625} = 25$ (since $25 \times 25 = 625$)

   • $\sqrt{324} = 18$ (since $18 \times 18 = 324$)

   • $33^2 = 1089$ (since $33 \times 33 = 1089$)

2. Substitute these values back into the expression:
   $25 - 18 + 1089$

3. Perform the operations from left to right:

   • $25 - 18 = 7$

   • $7 + 1089 = \mathbf{1096}$