3 root 2
root 3 x root 6 = root 18
to write it in its simplest form, we have to reduce the number to a situation, where we have a product that includes a perfect square and and another number
let me break that down
let us use another example;
root 8
we think of the largest perfect square that is also a factor of 8
then, we conclude to our answer; 4
next, we think of the number that multiplies with 4 to give is 8 and that is 2
so, we bring the 4 outside by square rooting it and everything gives us
2 root 2
to open this, we just square the 2 outside and multiply it by the 2 inside to give us root 8
if we apply this example to our question,
root 18 = root 9 * 2
this is because 9 is the largest square and factor of 18 and 2 multiplies with 9 which gives us root 9 * 2
then, we square root 9 to give us 3 and we bring this 3 out to give us
3 root 2
hope this helps.
if you do not understand, just send me a message
thank you
