Find the cube root of 729 1331

Given to find cube root of 729 1331 We know that, If a b is a rational number, where ' a ' a n d ' b ' are co-prime and perfect cubes, and b ≠ 0 then a b 3 = a 3 b 3 ⇒ 729 1331 3 = 729 3 1331 3 = 3 × 3 × 3 × 3 × 3 × 3 3 11 × 11 × 11 3 = 3 × 3 11 = 9 11 Hence, cube root of 729 1331 = 9 11 .

Find the cube root of 512 3375

Given to find cube root of 512 3375 We know that, If a b is a rational number, where ' a ' a n d ' b ' are co-prime and perfect cubes, and b ≠ 0 then a b 3 = a 3 b 3 ⇒ 512 3375 3 = 512 3 3375 3 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 3 × 3 × 3 × 5 × 5 × 5 = 2 × 2 × 2 3 × 5 = 8 15 Hence, cube root of 512 3375 = 8 15

Find the cube root of 1728 15625

Given to find cube root of 1728 15625 We know that, If a b is a rational number, where ' a ' a n d ' b ' are co-prime and perfect cubes, and b ≠ 0 then a b 3 = a 3 b 3 ⇒ 1728 15625 3 = 1728 3 15625 3 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 5 × 5 × 5 × 5 × 5 × 5 = 2 × 2 × 3 5 × 5 = 12 25 Hence, cube root of 1728 15625 = 12 25

Find the cube root of 5 23 64

Given to find cube root of 5 23 64 We find cube root of mixed fraction by converting it into simple fraction. We know that, If a b is a rational number, where ' a ' a n d ' b ' are co-prime and perfect cubes, and b ≠ 0 then a b 3 = a 3 b 3 ⇒ 5 23 64 = 343 64 ⇒ 5 23 64 3 = 343 64 3 = 343 3 64 3 = 7 × 7 × 7 2 × 2 × 2 × 2 × 2 × 2 = 7 2 × 2 ∴ 5 23 64 3 = 7 4 = 1 3 4 Hence, cube root of 5 23 64 = 1 3 4

Find the cube root of 1 91 125

Given to find cube root of 1 91 125 We find cube root of mixed fraction by converting it into simple fraction. We know that, If a b is a rational number, where ' a ' a n d ' b ' are co-prime and perfect cubes, and b ≠ 0 then a b 3 = a 3 b 3 ⇒ 1 91 125 = 216 125 ⇒ 1 91 125 3 = 216 125 3 = 216 3 125 3 = 2 × 2 × 2 × 3 × 3 × 3 5 × 5 × 5 = 2 × 3 5 ∴ 1 91 125 3 = 6 5 = 1 1 5 Hence, cube root of 1 91 125 = 1 1 5

Find the cube root of 22 161 216

Given to find cube root of 22 161 216 We find cube root of mixed fraction by converting it into simple fraction. We know that, If a b is a rational number, where ' a ' a n d ' b ' are co-prime and perfect cubes, and b ≠ 0 then a b 3 = a 3 b 3 ⇒ 22 161 216 = 4913 216 ⇒ 22 161 216 3 = 4913 216 3 = 4913 3 216 3 = 17 × 17 × 17 3 2 × 2 × 2 × 3 × 3 × 3 3 = 17 2 × 3 ∴ 22 161 216 3 = 17 6 = 2 5 6 Hence, cube root of 22 161 216 = 2 5 6 .

E M B I B E

Explore Mathematics - 8>Chapter 3 - Cube Root>Exercise 3

Uttar Pradesh Board Solutions for Chapter: Cube Root, Exercise 8: Exercise 3

Author:Uttar Pradesh Board

Uttar Pradesh Board Mathematics Solutions for Exercise - Uttar Pradesh Board Solutions for Chapter: Cube Root, Exercise 8: Exercise 3

Attempt the free practice questions on Chapter 3: Cube Root, Exercise 8: Exercise 3 with hints and solutions to strengthen your understanding. Explore Mathematics - 8 solutions are prepared by Experienced Embibe Experts.