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rationalize

rationalize denominator

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

rationalize(expr)

Parameters

expr

-

multivariate radical expression

Description

• 

The function rationalize attempts to rationalize the given expression, removing all roots from the denominator.

• 

rationalize does not operate inside transcendental functions, such as exp and sin. Radical expressions that are arguments to such functions within expr will not be rationalized.

Examples

rationalize222

2+2

(1)

rationalize1+2131213

1+21/322/3+21/3+1

(2)

rationalizex+yx+y1

x+y1+x+y1+x+y

(3)

xx+3,xx+1+3,x+yxy+3+7

xx+3,xx+1+3,x+yxy+3+7

(4)

rationalize

xx+3x23,xx+1+3x2+31x42x22,x+yxy+73x2y2+23xy+4x4y420x2y2+16

(5)

x+yx+y,xyx+x+3

x+yx+y,xyx+x+3

(6)

rationalize

x+yx+yx2y,xyx+x+3x2+3xx42x3+x23

(7)

Radical expressions that are arguments to transcendental functions, such as exp and sin will not be rationalized.

1ⅇx,x+ycosx+siny

1ⅇx,x+ycosx+siny

(8)

rationalize

1ⅇx,x+ycosx+siny

(9)

rationalize11+rootsin11η,3

sin11η2/3sin11η1/3+11+sin11η

(10)

rationalize11+11a13

11+a2/311+a1/3+11+a2+a4+a

(11)

See Also

sqrt

 


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