Square root from non-negative number a is called such non-negative number b that b^2 = a. Extraction of a square root — more difficult task, than squaring, but for its decision exists a set of methods.
Any arithmetic action has the contrast. To addition subtraction is opposite, to multiplication – division. Exponentiation has "doubles antipodes" and.
The number which at its construction in the degree equal to root degree, will give the value specified under the sign of a root has to be result of performance of operation of extraction of a root. This value is called "radicand" and can be set by a formula, the whole or fractional number. Extraction of a root from fractional number has some rules intended for simplification of this operation.
Actually, the square root (√) is only the symbol designating exponentiation ½. Therefore when finding a square root from the number or expression built in some degree it is possible to use usual rules of "construction of degree in degree". It is necessary to consider some nuances only.
The equation which in a general view is written down ah +bu + with =0 is called the linear equation with two variables. Such equation in itself contains an infinite set of decisions therefore in tasks it is always complemented with something – one more equation or the limiting conditions. Depending on the conditions provided by a task it is necessary to solve the linear equation with two variables in different ways.