Square root of 10

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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 Template:Sfrac can be used for the square root of 10. It differs from the correct value by about Template:Sfrac. As of December 2013, its numerical value in decimal form has been computed to at least ten billion digits.[1]

It is an irrational algebraic number. The first sixty significant digits of its decimal expansion are:

Template:Gaps Template:OEIS

It is the product of the square root of two and square root of five.

Use in approximating Template:Pi

Zhang Heng and Brahmagupta used Template:Radic to approximate Template:Pi in 130 and 640 AD, respectively.

References

Template:Algebraic numbers Template:Irrational number

Template:Num-stub