Question 1 - Finding cube root by estimation - Chapter 6 Class 8 Cubes and Cube Roots

Last updated at April 16, 2024 by

Example 8 - Find the cube root of 17576 through estimation.

Example 8 - Chapter 7 Class 8 Cubes and Cube Roots - Part 2
Example 8 - Chapter 7 Class 8 Cubes and Cube Roots - Part 3

Transcript

Question 1 Find the cube root of 17576 through estimation. Step 1: Make group of 3 digit, starting from right Step 2: The unit digit of cube root will be Unit digit of cube root of 17576 = Unit digit of cube root of 576 Since 576 ends with 6, it’s cube root will end in 6. (As 63 = 216, 163 = 4096) ∴ Unit digit of cube root = 6 Step 3: Now, for second group. 17 We note that 23 = 8 & 33 = 27 So, 8 < 17 < 27 23 < 17 < 33 ∴ We take smaller number So, 2 We put 2 in ten’s place of cube root. ∴ Cube root of 17576 = 26

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.