Instruction
1
Determine the degree of the root. It is usually denoted by a Superscript figure before him. If the degree of the root is not specified, the root is square, its degree is two.
2
Make the multiplier under the root, elevating him to the degree of the root. That is, x*ª√y = a√(y*xª).
3
Consider the example 5*√2. The square root, therefore, take the number 5 to a square that is in the second degree. Get √(2*52). Simplify radical expression. √(2*52) = √(2*25) = √50.
4
Study example 2*3√(7+x). In this case, the root of the third degree, so raise the multiplieroutside of the root, 3 degree. Get 3√((7+x)*23) = 3√((7+x)*8).
5
Consider the example (2/9)*√(7+x) where you have to make under the root of a fraction. The algorithm of actions is not very different. Erect in the degree of the numerator and denominator of a fraction. Get √((7+x)*(22/92)). Simplify radical expression, if necessary.
6
Let's do another example, where the multiplier already has a degree. In y2*√(x3) multipliermade under a root, squared. When raised to a new degree and making the root of much just multiplies. That is, after entering under the square root, y2 will be of the fourth degree.
7
Consider an example in which the degree is a fraction, that is, the multiplier is also under the root. Find it in the example √(y3)*3√(x) degree of x and y. The degree of x is equal to 1/3, that is the root of the third degree, and make under the root of the multiplier y is of degree 3/2, i.e. it is in Cuba and under the square root.
8
Give the roots to the same extent, to combine radical expressions. To do this, give fractions of degrees to a common denominator. Multiply the numerator and denominator on the same number which will allow you to achieve this.
9
Find common denominator for fractions degrees. For 1/3 and 3/2 is 6. Multiply both parts of the first fraction by two, and the other three. That is (1*2)/(3*2) and (3*3)/(2*3). It will, accordingly, 2/6 and 9/6. Thus, x and y will be under a common root of the sixth degree, x second, and y in the ninth degree.