how to find the root of a decimal number
Answers
Answer:
Square root of decimals is carried out in the same way as for whole numbers. Square root of a number and squaring a number are inverse operations. The Square of a number is the value of power 2 of the number, while the square root of a number is the number that is multiplied by itself to give the original number.
Example 1: Determine the square root of decimal number 17.64 by estimation method.
Solution:
Step 1: The nearest perfect square numbers to 17.64 are 16 and 25.
Step 2: √16 = 4 and √25 = 5. This implies that √17.64 lies between 4 and 5.
Step 3: Check if √17.64 is closer to 4 or 5. Let us consider 4.5 and 5.
Step 4: 4.52 = 20.25, 42 = 16 and 52= 25. Thus, √17.64 lies between 4 and 4.5 and is closer to 4.
Thus, the square root of decimal number 17.64 is closer to 4.We can check for 4.1 and 4.2. 4.12 = 16.81 and 4.22 = 17.64.
Therefore, 4.2 is the square root of 17.64
Step-by-step explanation:
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