Instruction

1

Use the definition

**of root**as a mathematical operation, from which it follows that the extraction**of a root**is the inverse operation of raising a number to a power. This means that**the number**can be taken from under**the root**if the decrease in radical expressions**, the number**of times that corresponds to a raised to the power passed. For example, to take from under the square**root of****the number**10, divide remaining under the root expression of ten squared.2

Pick up the radical number of this multiplier, making of which is under

**root**do simplify the expression - otherwise the operation will lose meaning. For example, if under the sign**of the root**with exponent equal to three (cubic root), is**the number**128, then out of sign can be taken, for example,**the number**5. In this radical**, the number**128 will have to be divided by 5 cubed: 3√128 = 5∗3√(128/53) = 5∗3√(128/125) = 5∗3√1.024. If the presence of fractional numbers under the sign**of root**is not contrary to the conditions of the problem, the solution can be left in this form. If you need a more simple variant, we first divide radical expression for such an integer multiplier, cube root one of which will be a whole**number**C. for Example: 3√128 = 3√(64∗2) = 3√(43∗2) = 4∗3√2.3

Use for the selection of the multipliers radical number calculator, if you calculate in the mind the powers of a number is not possible. This is especially important for

**the root**m with the exponent greater than two. If you have Internet access, you can calculate the built-in Google search engine and Nigma solvers. For example, if you need to find the largest integer multiplier, which can be taken from under the sign of the cubic**root**for numbers 250, then going to Google enter "6^3" to check, can you just take out of sign**of root**six. The search engine displays the result equal to 216. Alas, the 250 cannot be divided without a remainder is**the number**. Then enter the query 5^3. The result will be 125, and it allows you to break 250 on the multipliers 125 and 2, and therefore to stand under the sign**of the root****number**5, leaving**the number**2.