What's the square root of 100000?

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Answer 1 · 2016-11-01T22:06:41

$sqrt10 = 3.16227766$

$sqrt ("10 00 00") = 316.227766 ~~316.23$

Obviously one could plug this into a calculator and get the answer. But what answer can we expect?

Underneath the square root sign - pair the digits from the right.

$sqrt ("10 00 00")$

Each pair of 0's represents a place in the answer.

The answer will have 3 digits before the comma.
Find them by finding $sqrt10$ on a calculator.

$sqrt10 = 3.16227766$

$sqrt ("10 00 00") = 316.227766 ~~316.23$

compare the following answers:

$sqrt10 = 3.1623" "sqrt100 = 10$

$sqrt1000 = 31.623" "sqrt 10000 = 100$

$sqrt100000 = 316.23" "sqrt1000000 = 1000$

$sqrt10000000 = 3162.3" " sqrt100000000= 10000$

(odd number of 0's) $" "$ (even number of 0s)