Cube root of fraction and decimal

Cube root of a fraction Cube root of fraction =

1. Find the cube root of by prime factorization method. Solution: To find cube root of fraction, we need to find cube root of numerator and denominator separately Steps to find cube root of 125 Step 1: Factorize into prime factors, we get Step 2: Make a group of 3 factors. Step 3: Take out one factors from each pair 125 = 5 x 5 x 5 ∛ 125 = 5 Therefore, ∛ 125 = 5

Steps to find cube root of 216 Step 1: Factorize into prime factors, we get Step 2: Make a group of 3 factors. Step 3: Take out one factors from each pair 216 = 2 x 2 x 2 x 3 x 3 x 3 216 = 2 x 2 x 2 x 3 x 3 x 3 ∛216 = 2 x 3 = 6 Therefore, ∛216 = 6

2. Find the cube root of 3.375 by prime factorization method. Solution: Step 1: First we need to convert 3.375 into whole number We have 3 decimal points We have to multiply and divide it by 1000 Steps to find cube root of 3375 Step 1: Factorize into prime factors, we get Step 2: Make a group of 3 factors. Step 3: Take out one factors from each pair 3375 = 3 x 3 x 3 x 5 x 5 x 5 ∛ 3375 = 3 x 5 = 15 Therefore, ∛ 3375 = 15

Steps to find cube root of 1000 Step 1: Factorize into prime factors, we get Step 2: Make a group of 3 factors. Step 3: Take out one factors from each pair 1000 = 2 x 2 x 2 x 5 x 5 x 5 1000 = 2 x 2 x 2 x 5 x 5 x 5 ∛1000 = 2 x 5 = 10 Therefore, ∛1000 = 10

Try These 1. Evaluate 2. Evaluate 3. Evaluate