Can someone me understand squares, cubes, and roots with example problems

when someone says a number squared or cubed, or to the certain power, it means how many times you multiply the base number by itself that many times, for example

2²= 2 * 2

or 9³ = 9 x 9 x 9

a square root or cube root, is a harder to understand, but still somewhat simple, it basically means how many what number squared or cubed equals this number.

so for example the square root of 9 = 3 because 3 x 3=9

or cube roots for example ∛125= 5 because 5 x 5 x 5

So here is an example one for you. √81.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.