1. Finding square root of imperfect square

2. SQUARE ROOT Definition: When a number is multiplied by itself, the
product is called the square of that number. The
number itself is called the square root of the
product.
It is denoted by √
For example:
The square root of 16 can be written as √16 or (16) ½

3. Recap of Converting Mixed Fractions to Improper Fractions
Convert to an improper fraction
To convert a mixed fraction to an improper fraction, follow these
step
Step1 :- Multiply the whole number part by the fraction's
denominator.
3 × 5 = 15
Step2 :- Add that to the numerator
= 17
Step 3:- Then write the result on top of the denominator.

4. Example 1: Find the square root of 2 correct to two decimal places.4 1 4
Solution
Step 1:
Write 2 as decimal number
( up to 4 or 6 decimal points)
Step 2:
By using long divison Method
we can find the Square Root
for 2.
Thus, √2 = 1.414 1 24
281
2824 -1
9 6
4 0 0
2 8 1
6 0 4
Answer √2 = we can round off 2 decimal place √2 = 1.41

5. Example 2: Find the square root of correct to two decimal places1. 3 9
Solution
Step 1 : Convert given mixed fraction to
improper fraction
Step 2 : Divide the improper Fractions
(upto 2 or 4 decimal points).
Step 3: Now, find the square root by long
division method.    1 23
260
2609 -1
6 9
2 4 2
0 0 0
7 1 9 =
Thus, √ = 1.309
By rounding off 2 decimal place, we have
√1.7142= 1.31

6. Try these Find the square root of 7 correct to two decimal places.
Note: Do not go to the next slide till you finish these sums.

7. Answers
Find the square root of 7 correct to two decimal places. ( 2.65 )
Find the square root of correct to two decimal places. (1.68 )