Question

$\sqrt{83}$
find the square root. ​

Answer 1

The exact value is 9.11043357914

Since it does not have any perfect root factors it can only be written as √83 or 9.11043357914

Answer 2

Answer:

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$\sqrt{83} = 9.1104335791442988819456261046887.......$

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Square roots of numbers like 10 ,83, 8.... which are not perfect squared can be found by the division method. The square roots of some such numbers have been given below. These values have been calculated, using a computer, up to the 31st decimal place.

In this values, no digits are found to be recurring. We can go on calculating more and more decimal places,but we do not find any recurring digit OR Groyp if digits. In other words, the decimal form of these numbers is non - terminating and non - recurring. such numbers are called irrational numbers.

The square roots of numbers that are not perfect square are irrational numbers.

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