Question

Find the square root of 144 by the factors method .​

Answer 1

Step-by-step explanation:

Square Root of 144 by Prime Factorization Method

Determine the prime factors of 144. 144 = 2 × 2 × 2 × 2 × 3 × 3. 144 = 24 × 32

Group the prime factors of 144 in pairs. 144 = 22 × 22 × 32

Pick one factor from each pair and the square root of 144 can be written as: √144 = √(22 × 22 × 32) √144 = √(2 × 2 × 3)2

Answer 2

Step-by-step explanation:

Square Root of 144 by Prime Factorization Method:

• Determine the prime factors of 144. 144 = 2 × 2 × 2 × 2 × 3 × 3. 144 = 24 × 32.
• Group the prime factors of 144 in pairs. 144 = 22 × 22 × 32.
• Pick one factor from each pair and the square root of 144 can be written as: √144 = √(22 × 22 × 32) √144 = √(2 × 2 × 3)2.

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