Question

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

Answer 1

`3√(3) - 4√(2)`

Explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is
`2√(27) - 3√(32)`.

To simplify, simplify inside the radicals by removing perfect square factors.

`√(27) =√(9*3) =3√(3)`

`√(32) =√(16*2) =4√(2)`

The expression becomes
`3√(3) - 4√(2)`.

This cannot be simplified anymore because whats under the radical is not the same.