Question

How do you simplify `2sqrt276 - 4sqrt3`?

Answer 1

See the solution process below:

Explanation:

We can rewrite this expression using this rule for radicals:

`sqrt(a * b) = sqrt(a) * sqrt(b)`

`2sqrt(276) - 4sqrt(3) => 2sqrt(3 * 92) - 4sqrt(3) => 2sqrt(3)sqrt(92) - 4sqrt(3)`

We can now factor a `2sqrt(3)` from each term giving:

`2sqrt(3)sqrt(92) - 4sqrt(3) => 2sqrt(3)sqrt(92) - (2 * 2sqrt(3)) =>`

`2sqrt(3)(sqrt(92) - 2)`