cube
## What are Cube Roots? | An Introduction to Cube Roots | Math with Mr. J

welcome to math with Mr J

[Music]

this video I'm going to cover what cube

roots are this will be an introduction

to cube roots let's jump into number one

where we have a 2 and an 8. now in order

to understand cube roots we're going to

start by looking at cubing a number

which means we have an exponent of three

for example let's start with 2 cubed so

2 with an exponent of three this means

two times two times two which equals

eight

so 2 cubed equals eight

again two cubed that means two

times two

times two

two times two equals 4 times 2 equals

eight now going off of 2 cubed let's

move on to looking at a cube root now a

cube root is the inverse of cubing a

number which means the opposite of

cubing a number we are going in reverse

so to speak we need to think what number

multiplied by itself three times will

equal the number under the cube root

symbol for example let's find the cube

root of eight so what number multiplied

by itself three times will equal eight

well two the cube root of eight is two

so again the cube root of eight

equals

2. so we can see the relationship there

2 cubed equals eight and then the cube

root of eight equals two let's move on

to number two and take a look at another

example we have 5 and 125. let's start

by cubing five so five cubed and that

does equal

125. so 5 cubed

that means 5. times 5

times 5 which again equals

125. five times five equals 25 times 5

gives us that

125. now let's find the cube root of

125. so what number multiplied by itself

three times will equal

125. well 5. 5 is the cube root of 125.

so the cube root

of 125

is 5. so to recap number two five cubed

equals 125. five times five times five

the cube root of 125 is 5 because we

know 5 multiplied by itself three times

will equal that 125. so we can see the

relationship there between 5 cubed and

the cube root of

125. let's move on to numbers three and

four where we have two examples of cube

roots starting with number three where

we have the cube root of 64. so what

number cubed will equal 64. well 4 4

cubed

equals 64. four times four times four

times four equals 16 times 4

equals 64. so the cube root of 64

is 4 we need to think what number

multiplied by itself three times will

equal the number under the cube root

symbol lastly let's move on to number

four where we have the cube root of 27

so what cubed equals twenty-seven three

three cubed equals 27.

three times three

times three three times three equals

nine times three equals twenty-seven so

the cube root of 27 is 3. so there you

have it there's a basic introduction to

cube root just remember what number

multiplied by itself three times will

equal the number under the cube root

symbol I hope that helped

thanks so much for watching

until next time

peace

foreign

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