Question

Find the square root by prime factorization (b) 400​

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

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Prime factorization of 400 :-

2 × 2 × 2 × 2 × 5 × 5

= = > 2 × 2 2 × 2 5 × 5

= = > 2 × 2 × 5

= = > 20

Hence , the square root of 400 is 20.

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Answer 2

Ans. We need to find the square root by prime factorizaton of 400.So,

2|400

2|200

2 |100

2 | 50

5 | 25

5 |. 5

|. 1

2*2*5=20

Hence we write this

√400 = 20