# sqrt1pm1 > Compute `sqrt( 1 + x ) - 1`.
## Usage ```javascript var sqrt1pm1 = require( '@stdlib/math/base/special/sqrt1pm1' ); ``` #### sqrt1pm1( x ) Computes `sqrt( 1 + x ) - 1` more accurately for small `x`. ```javascript var v = sqrt1pm1( 3.0 ); // returns 1.0 v = sqrt1pm1( 0.5 ); // returns ~0.225 v = sqrt1pm1( 0.02 ); // returns ~0.01 v = sqrt1pm1( -0.5 ); // returns ~-0.293 v = sqrt1pm1( -1.1 ); // returns NaN v = sqrt1pm1( NaN ); // returns NaN ```
## Examples ```javascript var randu = require( '@stdlib/random/base/randu' ); var round = require( '@stdlib/math/base/special/round' ); var sqrt1pm1 = require( '@stdlib/math/base/special/sqrt1pm1' ); var x; var i; for ( i = 0; i < 100; i++ ) { x = round( randu() * 100.0 ); console.log( 'sqrt(1+%d) - 1 = %d', x, sqrt1pm1( x ) ); } ```