You can do essentially the same with Math::MPFR:
 
perl -MMath::MPFR=:mpfr -e "Rmpfr_set_default_prec(10000); $foo = Math
+::MPFR->new(5); $bar = $foo ** 0.5; print $bar, $/, $bar ** 2, $/"

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With Math::MPFR, setting a default precision of 10000, means you have 10000 bits of precision, not 10000 decimal digits of precision. To be guaranteed 10000 decimal digits of precision I think you need to ask for 33220 bits - ie ceil(10000 / log(2)). I haven't checked whether Math::PARI sets its precision in bits or decimal digits.

Cheers,
Rob

In reply to Re^2: Fun Question: Square Root of 5 to 10000 digits by syphilis
in thread Fun Question: Square Root of 5 to 10000 digits by zentara

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