The denominator is a monomial.

For example: √ a/√ b = √ a×√ b/√ b×√ b = √ ab/b.

Two. The denominator is a polynomial

You can use the square difference formula.

For example,1√ a+√ b = √ a-√ b/(√ a+√ b) = √ a-√ b/a-b.

The denominator in a radical cannot contain a radical sign, and it must be the simplest.

Operation of algebraic expressions

1, the algorithm of power (m, n is an integer);

( 1)a×a = a；

(2)a \a = a； (a≠0)

(3)(a)=a

(4)(ab)=ab

2, algebraic expression operation (omitted)

3. Multiplication formula:

(a+b)(a-b)=a^2-b^2

(a+b)^2=a^2+2ab+b^2

(a-b)^2=a^2-2ab+b^2

(a+b)( a^2-ab+b^2) =a^3+b^3

(a-b)( a^2+ab+b^2) =a^3-b^3

(3) factorization of polynomials

Transforming a polynomial into the product of several algebraic expressions is called factorization.

1, common factor method;

2. Formula method:

a^2-b^2=(a+b)(a-b)

a^2+2ab+b^2=(a+b)^2

a^2-2ab+b^2=(a-b)^2

a^3+b^3=(a+b)(a^2-ab+b^2)

a^3-b^3=(a-b)(a^2+ab+b^2)

3, cross multiplication or root method to decompose quadratic trinomial:

ax+bx+c=a(x-x 1)(x-x2)

Algebra learning is inseparable from the application of physical and chemical knowledge of denominator.