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Maharashtra State BoardSSC (English Medium) 7th Standard

Find the square root of 4096.

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Question

Find the square root of 4096.

Sum
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Solution

The prime factorization of 4096 is,

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ​× 2

To find the square root, we will take one number from each pair and multiply.

`sqrt4096` = 2 × 2 × 2 × 2 × 2 × 2

= 64

`sqrt4096` = 64

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Finding the Square Root of a Perfect Square
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Chapter 6: Indices - Practice Set 30 [Page 50]

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Balbharati Mathematics [English] Standard 7 Maharashtra State Board
Chapter 6 Indices
Practice Set 30 | Q 4 | Page 50
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