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Square root of any number(5)

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Neel Patel

This document provides steps to find the square root of various numbers. It explains that to find the square root of a number with more than 2 digits, the number can be broken into a factor that is the square root of the tens place multiplied by a power of 10. This factoring technique is then used to find the square roots of 46283941, 463479, 78, and 23.

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Square root of any number(5)
Square Root of any Number
Find a square root of 46283941.
Find a square root of 23. ¡Ì23=? Let, ¡Ì23=p & ¡Ì25=q ¡Ì23=¡Ìq+((p-q)/(2*¡Ìq)) =5+((23-25)/(2*5)) =5+((-2)/(10)) =5-0.2 ¡Ì23=4.8
Find a Square Root of 78. ¡Ì78=? Let, ¡Ì78=p & ¡Ì81=q ¡Ì78=¡Ìq+((p-q)/(2*¡Ìq)) =9+((78-81)/(2*9)) =9+((-3)/(18)) =9-(1/6) =9-.166 ¡Ì78=8.834
Find a square root of 463479. ¡Ì463479=? ¡Ì46*(10)?=¡Ì46 * (10)? Let, ¡Ì46=p & ¡Ì49=q ¡Ì46=¡Ìq+((p-q)/(2*¡Ìq)) =7+((46-49)/(2*7)) =7+((-3)/(14)) =7-0.2143 =6.7857 ¡Ì463479=6.7857*(10)?=678.57 ¡Ì463479=678.57
Find a Square Root of 46283941. ¡Ì46283941=? ¡Ì46*(10)?=¡Ì46 * (10)? Let, ¡Ì46=p & ¡Ì49=q ¡Ì46=¡Ìq+((p-q)/(2*¡Ìq)) =7+((46-49)/(2*7)) =7+((-3)/(14)) =7-0.2143 =6.7857 ¡Ì46283941=6.7857*(10)?=6785.7 ¡Ì46283941=6785.7
THANK YOU Email ¨C njp9904@gmail.com Contact no. - 9714453679

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Square root of any number(5)

  • 2. Square Root of any Number
  • 3. Find a square root of 46283941.
  • 4. Find a square root of 23. ¡Ì23=? Let, ¡Ì23=p & ¡Ì25=q ¡Ì23=¡Ìq+((p-q)/(2*¡Ìq)) =5+((23-25)/(2*5)) =5+((-2)/(10)) =5-0.2 ¡Ì23=4.8
  • 5. Find a Square Root of 78. ¡Ì78=? Let, ¡Ì78=p & ¡Ì81=q ¡Ì78=¡Ìq+((p-q)/(2*¡Ìq)) =9+((78-81)/(2*9)) =9+((-3)/(18)) =9-(1/6) =9-.166 ¡Ì78=8.834
  • 6. Find a square root of 463479. ¡Ì463479=? ¡Ì46*(10)?=¡Ì46 * (10)? Let, ¡Ì46=p & ¡Ì49=q ¡Ì46=¡Ìq+((p-q)/(2*¡Ìq)) =7+((46-49)/(2*7)) =7+((-3)/(14)) =7-0.2143 =6.7857 ¡Ì463479=6.7857*(10)?=678.57 ¡Ì463479=678.57
  • 7. Find a Square Root of 46283941. ¡Ì46283941=? ¡Ì46*(10)?=¡Ì46 * (10)? Let, ¡Ì46=p & ¡Ì49=q ¡Ì46=¡Ìq+((p-q)/(2*¡Ìq)) =7+((46-49)/(2*7)) =7+((-3)/(14)) =7-0.2143 =6.7857 ¡Ì46283941=6.7857*(10)?=6785.7 ¡Ì46283941=6785.7
  • 8. THANK YOU Email ¨C njp9904@gmail.com Contact no. - 9714453679