examine wether root 2is rational or irrational number by division method
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Secondary School Math 10 points
Prove that root 2 is an irrational number using long division method
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nikitasingh79
nikitasingh79 Genius
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mysticd
mysticd Genius
Answer:
√2 = 1.4142135...
Step-by-step explanation:
_______________________
step 1: After 2 , place decimal point
step 2: After decimal point write 0's.
step 3: Group '0' in pairs
step 4: Then follow the method of find the square root of perfect square.
________________________
1) 2.00 00 00 00(1.4142135...
**1
________________
24)100
**** 96
________________
**281)400
****** 281
________________
*2824) 11900
******* 11296
________________
28282) 60400
******* 56564
________________
282841)383600
******** 282841
________________
2828423)10075900
*********** 8485269
_____________________
28284265) 159063100
************ 141421325
________________________
28284270 ) 17641775
If you go on finding the value
√2 , you observe that
√2 = 1.4142135623731... is neither terminating nor repeating decimal.