Question

Find tn of 1024 square root and prime factorization method and 1024

Answer 1

Q. Find √(1024) by Prime Factorisation method »

2 | 1024

2 | 512

2 | 256

2 | 128

2 | 64

2 | 32

2 | 16

2 | 8

2 | 4

2 | 2

1 | 1

Prime Factorisation of 1024

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 2¹⁰

∴ √(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

= ( 2 × 2 × 2 × 2 × 2 )

= 2⁵

= 32

Hence, the square root of 1024 is 32.

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Answer 2

$\sqrt{1024} = {2}^{5} = 32$
As by prime factorisation we get :

1024= 2×2×2×2×2×2×2×2×2×2

Taking Square roots both side ,

We get =

√1024 = 2^5 = 32 .

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