What is the square root of 144? .
2 answers:
Answer:
12
Explanation:
Step 1. Determine the prime factors of 144.
144 = 2 × 2 × 2 × 2 × 3 × 3
144 = 24 × 32
Step 2. Group the prime factors of 144 in pairs.
144 = 22 × 22 × 32
Step 3. 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
√144 = ((2 × 2 × 3)2)1/2 = ±(2 × 2 × 3)
√144 = ±12
Answer:
12
Explanation:
The value of the square root of 144 is equal to 12. In radical form, it is denoted as √144 = 12. To calculate the value to root 144 without using a calculator, there are two methods: one is the prime factorisation and another is the long division method.
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