Question

Prove that root 2 is an irrational number using long division method

Answer 1

hope this will help you

Answer 2

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.

•••♪