Write root 3 x root 6 in the form b root 2 where b is an integer.

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