ExpertEasy2 marksShort Answer
AQA GCSE · Question 09 · Number
Calculate √625 + 7³
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
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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