integer square root - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Group Theory : Numbers : Integer Functions : isqrt

isqrt - integer square root

iroot - integer n^th root

Calling Sequence

isqrt(x)

iroot(x, n, 'exact')

Parameters

x

-

integer

n

-

integer

exact

-

(optional) name

Description

• 

The isqrt function computes an integer approximation to the square root of x. The approximation is exact for perfect squares, and the error is less than 1 otherwise. Note: if x<0, isqrt(x) returns 0.

• 

The iroot function computes an integer approximation to the n^th root of x. The approximation is exact for perfect powers, and the error is less than 1 otherwise. If the optional third argument is given, it is set to true or false to show whether the root is exact or not. Note: if x<0, and n is even, iroot(x, n) returns 0; if x<0, and n is odd, iroot(x, n) returns - iroot(- x, n).

Thread Safety

• 

The isqrt command is thread-safe as of Maple 15.

• 

For more information on thread safety, see index/threadsafe.

Examples

isqrt4

2

(1)

isqrt5

2

(2)

isqrt8

3

(3)

isqrt10

3

(4)

iroot100&comma;3

5

(5)

iroot10&comma;2&comma;&apos;exact&apos;&semi;exact

3

false

(6)

iroot50653&comma;3&comma;&apos;exact&apos;&semi;exact

37

true

(7)

iroot200&comma;8

2

(8)

If x<0, isqrt(x) returns 0.

isqrt4

0

(9)

The iroot command will calculate odd roots of negative numbers.

iroot27&comma;3&comma;&apos;exact&apos;&semi;exact

3

true

(10)

iroot500&comma;5&comma;&apos;exact&apos;&semi;exact

3

false

(11)

See Also

issqr, numtheory[mroot], numtheory[msqrt], psqrt, sqrt


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam