Mathematics Short Tricks/ CUBE ROOT tricks for University test

Mathematics Short Tricks/ CUBE ROOT tricks for University test

Here are short and smart cube root tricks in mathematics that will help you quickly find cube roots in university-level tests or competitive exams.

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📘 CUBE ROOT TRICKS FOR PERFECT CUBES (1 to 6 digits)

These tricks only work on perfect cubes. If you’re given a number and asked to find its cube root quickly, follow these steps.

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✅ Step-by-Step Trick (For 3 to 6-digit Numbers)

👉 Example 1: Find the cube root of 79507

Step 1: Look at the last digit of the number (unit digit).

• Last digit is 7.

• Cube roots end in:

  • If last digit is 1 → root ends in 1

  • If last digit is 4 → root ends in 4

  • If last digit is 5 → root ends in 5

  • If last digit is 6 → root ends in 6

  • If last digit is 7 → root ends in 3 (Because 3³ = 27 → ends in 7)

So, unit digit of cube root = 3

Step 2: Remove last 3 digits → 79 is left.

Find the nearest cube less than or equal to 79:

• 4³ = 64

• 5³ = 125 → too big

So take 4

Final Answer: 43

✅ Cube root of 79507 is 43

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👉 Example 2: Cube root of 157464

Step 1: Last digit is 4

• Cube root of 4 ends in 4 (Because 4³ = 64)

Step 2: Remove last 3 digits → 157

Closest cube less than 157 = 5³ = 125
6³ = 216 → too big
So take 5

Final Answer = 54

✅ Cube root of 157464 is 54

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🧠 Cube Root Ending Table (Useful to Memorize)

Tip: Reverse of cube roots of digits helps in quickly identifying the unit digit.

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🧮 Bonus: Small Cubes to Memorize

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✅ Practice Questions:

Try finding cube roots of these perfect cubes using the trick:

1. 74088 = ?

2. 328509 = ?

3. 125 = ?

4. 29791 = ?

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