How to cube root a number
What are Cube Roots? | An Introduction to Cube Roots | Math with Mr. J
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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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