untitled

7205

36025

40000

72105

3605525

3697500

7211101

7211101

9197500

1986399

? The required square root is 3 ˜ 605551 .........

? The required approximate value upto 3 decimal places is 3 ˜ 606.
Example 25. Find the value and approximate value of 4 ˜ 4623845 ....... upto 1 , 2 , 3 , 4
and 5 decimal places.

Solution : The value of 4 ˜ 4623845 upto 1 decimal place is 4 ˜ 4

and approximate value 1 ,, ,, ,, 4 ˜ 5

Value upto 2 ,, ,, ,, 4 ˜ 46
and approximate value upto 2 ,, ,, ,, 4 ˜ 46

Value upto 3 ,, ,, ,, 4 ˜ 462

and approximate value upto 3 ,, ,, ,, 4 ˜ 462

Value upto 4 ,, 4 ˜ 4623
and approximate value upto 4 ,, ,, ,, 4 ˜ 4624

Value upto 5 ,, ,, ,, 4 ˜ 46238
and approximate value upto 5 ,, ,, ,, 4 ˜ 46238

Activity : Find the square root of 29 and find the value upto two decimal places and

the approximate value upto two decimal place.

Exercise 1

1. Prove that, (a) 5 (b) 7 (c) 10 is an irrational number.


2. (a) Find the two irrational numbers between 0. 31 and 0. 12.

(b) Find a rational and an irrational numbers between
2

1

and 2.

3. (a) Prove that, square of any odd integer number is an odd number.

(b) Prove that, the product of two consecu tive even numbers is divisible by 8.