Question

find the square root by prime factorisation method 144​

Answer 1

Answer:

Step-by-step explanation:

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In prime factorisation, we have to find the prime factors in the given number. This method is easy to apply, as we have learned about prime factors in our earlier classes. But, it can only be used if a number is a perfect square.

Clearly, 144 is a perfect square, thus the prime factors are,

144 = 2x2x2x2x3x3

Therefore, if we take the square root on both the sides, we get;

√144 = √(2x2x2x2x3x3)

As we can see here, there are two pairs of 2 and one pair of 3. Hence,

√144 = 2x2x3

√144 = 12

✵ Credits -Roshan ✵