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Mastering Square Root Calculation Techniques

Learn how to find square root of imperfect squares, convert mixed fractions to improper fractions, and solve examples step by step. Master the art of square roots for accurate results.

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Mastering Square Root Calculation Techniques

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  1. Finding square root of imperfectsquare

  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 15 + 2 = 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 1 .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 2 . 00 00 00 -1 1 0 0 9 6 4 0 0 2 8 1 1 1 9 0 0 1 1 2 9 6 6 0 4 Answer √2 = 1.414 we can round off 2 decimal place√2 = 1.41

  5. Example 2:Find the square root of correct to two decimal places 1. 3 0 9 1 23 260 2609 Solution Step 1: Convert given mixed fraction to improper fraction Step 2 : Divide the improper Fractions (upto2 or 4 decimal points). Step 3: Now, find the square root by long division method.  1 . 71 42 00 -1 0 7 1 6 9 2 4 2 0 0 0 2 4 2 0 0 2 3 4 8 1 7 1 9 = 1.7142 Thus, √1.7142 = 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. • Find the square root of 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 )

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