Question

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

Answer 1

3
`√(2)`

Explanation:

Using the rules of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` , then

`√(3)` ×
`√(6)`

=
`√(3(6))`

=
`√(18)`

=
`√(9(2))`

=
`√(9)` ×
`√(2)`

= 3
`√(2)`

Answer 2

`3 √(2)`

Explanation:

`√((9 * 2))`

Take the square root of 9 out of the square root and leave the 2 in.