Square Root & Cube Root : Example

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@@@. Square Root & Cube Root: Tricks

Q1. Cube Root of 1860867   

Options: 117 127 113 123

Solⁿ: Last digit = 7 → unit digit = 3, Ignore last 3 digits → 1860

         Compare cubes: 117³ = 1601613, 123³ = 1860867

         Cube root = 123

Ans: 123

Exam Trick

• Last digit → unit digit
• Remaining number → tens digit
• No long calculation needed

Q2. Cube Root of 0.103823

Options: 0.47 0.46 0.103898 0.47

Solⁿ: Last digit = 7 → unit digit = 3, Ignore last 3 digits → 0.103

          Compare cubes of decimals: 0.47³ ≈ 0.103823, Cube root = 0.47

Ans: 0.47

Q3. Cube Root of 0.000032768

Options: 0.43 0.032 0.0032 0.00032

Solⁿ: Last digit = 8 → unit digit = 2, Ignore last 3 digits → 0.000032,

         Compare cubes of decimals: 0.032³ ≈ 0.000032768, Cube root = 0.032

Ans: 0.032

 @@@. Square Root & Cube Root: Tricks

Q4. The cube of which number ends in 3 ?

Options: 3 7 9 1

Solⁿ: 7³ = 343 → last digit = 3, Cube root = 7

Ans: 7

Exam Trick

• Last digit → unit digit
• Remaining number → tens digit
• No long calculation needed

@@@. Square Root & Cube Root: Tricks