What's the square root of 100000?

1 Answer
Nov 1, 2016

Answer:

#sqrt10 = 3.16227766#

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

Explanation:

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)