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In mathematics, the '''square root of 10''' is the positive [[real number]] that when multiplied by itself gives 10. The [[Approximation#Mathematics|approximation]] {{sfrac|2280|721}} can be used for the [[square root]] of 10. It differs from the correct value by about {{sfrac|3|1,000,000}}. As of December 2013, its numerical value in decimal form has been computed to at least ten billion digits.<ref>http://www.komsta.net/computations</ref>

It is an [[Irrational number|irrational]] [[Algebraic number|algebraic number]]. The first sixty significant digits of its decimal expansion are:
:{{gaps|3.16227|76601|68379|33199|88935|44432|71853|37195|55139|32521|68268|5750...}} {{OEIS|id=A010467}}

It is the product of the [[square root of two]] and [[square root of five]].
==Use in approximating {{Pi}}==
Zhang Heng and Brahmagupta used {{radic|10}} to approximate {{Pi}} in 130 and 640 AD, respectively.

==References==
{{reflist}}

{{Algebraic numbers}}
{{Irrational number}}

[[Category:Algebraic numbers]]
[[Category:Quadratic irrational numbers]]
[[Category:Mathematical constants]]

{{num-stub}}