Question

find the square root of 144 by prime factorization method​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge 2| 144 \\ \huge 2| 72 \: \: \\ \huge 2| 36 \: \: \\ \huge 2| 18\: \: \\ \huge 3| 9 \: \: \: \: \\ \huge \: \: | 3 \: \: \: \:$

So,

$\huge { \sqrt{144} = \sqrt{ 2 × 2 × 2 × 2 × 3 × 3 } } \\ \\ \huge \sqrt{144} = \sqrt{ {2}^{2} \times {2}^{2} \times {3}^{2} } \\ \\ \huge \sqrt{144} = \sqrt{ {2}^{2} } \times \sqrt{ {2}^{2} } \times \sqrt{ {3}^{2} } \\ \\ \huge\sqrt{144} = 2 \times 2 \times 3 = 12$