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.


Contents

📘 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.


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


👉 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


🧠 Cube Root Ending Table (Useful to Memorize)

Cube Ending Digit Cube Root Ends In
1 1
2 8
3 7
4 4
5 5
6 6
7 3
8 2
9 9
0 0

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


🧮 Bonus: Small Cubes to Memorize

Number Cube
1
8
27
64
125
216
343
512
729
10³ 1000
11³ 1331
12³ 1728
13³ 2197
14³ 2744
15³ 3375

✅ Practice Questions:

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

  1. 74088 = ?

  2. 328509 = ?

  3. 125 = ?

  4. 29791 = ?

Would you like a PDF notes version, or a video script based on this content?

Diznr International

Diznr International is known for International Business and Technology Magazine.

Leave a Reply

Your email address will not be published. Required fields are marked *

error: