Find square root of 119. With each and every step explained.
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See below how to calculate the square root of 119 step-by-step using the Babylonian Method also known as Hero's Method.
In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.001. In other words we will try to find the square root value with at least 2 correct decimal places.
Step 1:
Divide the number (119) by 2 to get the first guess for the square root .
First guess = 119/2 = 59.5.
Step 2:
Divide 119 by the previous result. d = 119/59.5 = 2.
Average this value (d) with that of step 1: (2 + 59.5)/2 = 30.75 (new guess).
Error = new guess - previous value = 59.5 - 30.75 = 28.75.
28.75 > 0.001. As error > accuracy, we repeat this step again.
In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.001. In other words we will try to find the square root value with at least 2 correct decimal places.
Step 1:
Divide the number (119) by 2 to get the first guess for the square root .
First guess = 119/2 = 59.5.
Step 2:
Divide 119 by the previous result. d = 119/59.5 = 2.
Average this value (d) with that of step 1: (2 + 59.5)/2 = 30.75 (new guess).
Error = new guess - previous value = 59.5 - 30.75 = 28.75.
28.75 > 0.001. As error > accuracy, we repeat this step again.
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Step-by-step explanation:
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