Question

Simplify 7 √ 3 2 − 6 √ 7 2

Answer 1

Answer:
`-10√(2)`

Explanation:

`7√(32) - 6√(72)`

=
`7√((2*2)*(2*2)*2) - 6√((2*2)*2*(3*3))`

=
`7*2*2√(2) - 6*2*3√(2)`

=
`28√(2) - 36√(2)`

Now that they have the same radical, we can subtract their coefficents

=
`(28 - 36)√(2)`

=
`-8√(2)`