How can one convert radicals to decimals(approximate value) when the number is not perfect such as sqrt2, sqrt3, sqrt5, etc. Without the use of calculators.

katdoringlo

katdoringlo

Answered question

2022-09-17

How can one convert radicals to decimals(approximate value) when the number is not perfect such as 2 , 3 , 5 , etc. Without the use of calculators.

Answer & Explanation

Sanaa Holder

Sanaa Holder

Beginner2022-09-18Added 20 answers

Step 1
You can use Heron's algorithm to estimate a by computing some iterations of:
x n + 1 = 1 2 ( x n + a x n )
You should start with some x 0 a .
tamolam8

tamolam8

Beginner2022-09-19Added 1 answers

Step 1
The digit-by-digit method used to be taught in school. The various root-finding approaches are often easier. When you are close, you can also use things like
37 = 36 37 36 = 6 1 + 1 36 6 ( 1 + 1 72 ) 6.083

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