Find cube root of 91125?

Question

ScanSolve AI Tutor · Accepted Answer

Let's find the cube root of 91125. Step 1: We need to find a number that, when multiplied by itself three times, equals 91125. We can use prime factorization to help us. Step 2: Find the prime factors of 91125. 91125 ÷ 5 = 18225; 18225 ÷ 5 = 3645; 3645 ÷ 5 = 729; 729 ÷ 3 = 243; 243 ÷ 3 = 81; 81 ÷ 3 = 27; 27 ÷ 3 = 9; 9 ÷ 3 = 3; 3 ÷ 3 = 1 So, the prime factorization of 91125 is 5 × 5 × 5 × 3 × 3 × 3 × 3 × 3 × 3. Step 3: Group the prime factors into sets of three. 91125 = (5 × 5 × 5) × (3 × 3 × 3) × (3 × 3 × 3) Step 4: Take one factor from each group of three. Cube root of 91125 = 5 × 3 × 3 Step 5: Calculate the final result. 5 × 3 × 3 = 45 The cube root of 91125 is 45.

Find cube root of 91125?

Step-by-step solution

We need to find a number that, when multiplied by itself three times, equals 91125.

Find the prime factors of 91125.

Group the prime factors into sets of three.

Take one factor from each group of three.

Calculate the final result.

Still stuck on this one?

More Biology Questions