Question

What is the square root of 144? .​

Answer 1

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 2

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.