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In Mathematics / Middle School | 2014-08-25

Find the square root by factoring:

21904

Asked by khayal

Answer (3)

21904∣2 10952∣2 . 5476∣2 . 2738∣2 . 1369∣37 . 37∣37 . 1∣ 21904 = 2 × 2 × 2 × 2 × 37 × 37 = 2 4 × 3 7 2 21904 ​ = 2 4 × 3 7 2 ​ = 2 4 ​ × 3 7 2 ​ = 2 2 × 37 = 4 × 37 = 148
\sqrt{21904}=\sqrt{4\times5476}=2\sqrt{4\times1369}=2\times2\sqrt37\times37}=4\times37=148

Answered by Anonymous | 2024-06-10

21904 ​ = 148 see the attachment

Answered by Cpw | 2024-06-24

The square root of 21904 can be found through prime factorization, leading to: 21904 = 2 4 × 3 7 2 . This simplifies to 21904 ​ = 148 .
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Answered by Anonymous | 2025-01-10