What is the square root of 1023?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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What is the square root of 1023?
(Hints: 10 is an integer number. Integer
numbers are exact, they don't have any
uncertainty. The result however is going to be
a real number. Computers approximate real
numbers using floating point numbers.
Floating point numbers have a given number
of significant figures or digits. LON-CAPA
typically expects 3, 4 or 5 digits. 2 or 1 is not
enough, 6 or more is too many. Very large or
very small numbers are expressed in
scientific or exponential notation like the
number above. Numbers in scientific notation
are entered to computer software - like LON-
CAPA as 1.23E15 or 1.23e15, for example;
and 1.23E-15 or 1.23e-15, if the exponent is
negative. If both the number and the
exponent are negative, then you type -1.23E-
15 or -1.23e-15. On calculators the button is
usually labelled as 'EE', but 'E' or 'EEX' or
'Exp' are also possible.)
Transcribed Image Text:What is the square root of 1023? (Hints: 10 is an integer number. Integer numbers are exact, they don't have any uncertainty. The result however is going to be a real number. Computers approximate real numbers using floating point numbers. Floating point numbers have a given number of significant figures or digits. LON-CAPA typically expects 3, 4 or 5 digits. 2 or 1 is not enough, 6 or more is too many. Very large or very small numbers are expressed in scientific or exponential notation like the number above. Numbers in scientific notation are entered to computer software - like LON- CAPA as 1.23E15 or 1.23e15, for example; and 1.23E-15 or 1.23e-15, if the exponent is negative. If both the number and the exponent are negative, then you type -1.23E- 15 or -1.23e-15. On calculators the button is usually labelled as 'EE', but 'E' or 'EEX' or 'Exp' are also possible.)
Expert Solution
Step 1

The given number is

x=1023

The square root of this number is written as

x=1023

Or in another form, it is written as

x=102312x=10232x=1011.5

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