Math, asked by YourFat, 11 months ago

find conjucate of √5+√12+√5+√12/√5+√12-√5-√12​

Answers

Answered by vc6070180
3

Answer:

What is the radical conjugate of

12

5

?

Algebra Multiplication and Division of Radicals

1 Answer

George C.

Jun 25, 2016

12

+

5

Explanation:

The conjugate of

12

5

is

12

+

5

.

This has the property that:

(

12

5

)

(

12

+

5

)

is rational:

(

12

5

)

(

12

+

5

)

=

12

2

(

5

)

2

=

144

5

=

139

Typical examples where you would use the conjugate would be:

When rationalising the denominator of a quotient.

When looking at zeros of a polynomial with rational (typically integer) coefficients.

For example:

2

+

3

5

12

5

=

(

2

+

3

5

)

(

12

+

5

)

(

12

5

)

(

12

+

5

)

=

24

+

2

5

+

36

5

+

15

144

5

=

39

+

38

5

139

The simplest polynomial with rational coefficients and zero

12

5

is:

(

x

(

12

5

)

)

(

x

(

12

+

5

)

)

=

x

2

24

x

+

139

Answer link

Related topic

Multiplication and Division of Radicals

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