Calculate √625 + 7³

How to approach this question

1. Use your calculator to find the square root of 625 (√625). 2. Use your calculator to find 7 cubed (7³), which means 7 × 7 × 7. 3. Add the two results together.

Full Answer

368 Working: √625 = 25 7³ = 7 × 7 × 7 = 343 25 + 343 = 368

This calculation involves a square root and a cube, followed by an addition. According to the order of operations (BIDMAS/BODMAS), we should deal with Indices (powers and roots) before Addition. **Step 1: Calculate the square root.** √625 = 25 (You can use the √ button on your calculator. 25 × 25 = 625) **Step 2: Calculate the cube.** 7³ = 7 × 7 × 7 7 × 7 = 49 49 × 7 = 343 (You can use the x³ or x^y button on your calculator) **Step 3: Add the results.** 25 + 343 = 368 The final answer is 368.

Common mistakes

✗ Calculating 7³ as 7 × 3 = 21. ✗ Calculating √625 as 625 ÷ 2 = 312.5. ✗ Adding 625 and 7 first, and then trying to apply the root and power.

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