Question

Operations with Radical Expressions

Answer 1

Answer:
`30√(11)`

Explanation:

`3√(50) * √(22)`

=
`3√(5*5*2) * √(2*11)`

=
`3√(5*5*2*2*11)`

=
`3*5*2√(11)`

=
`30√(11)`

******************************************

Answer:
`6√(30)`

Explanation:

`√(20) * √(3) * √(18)`

=
`√(2*2*5) * √(3) * √(3*3*2)`

=
`√(2*2*5*3*3*3*2)`

=
`2*3√(5*3*2)`

=
`6√(30)`

********************************************

Answer:
`-√(5)`

Explanation:

`4√(20) - 3√(45)`

=
`4√(2*2*5) - 3√(3*3*5)`

=
`4*2√(5) - 3*3√(5)`

=
`8√(5) - 9√(5)`

=
`-√(5)`

********************************************

Answer:
`4√(5)`

Explanation:

`2√(5) + 3√(5) - √(5)`

=
`(2+3-1)√(5)`

=
`4√(5)`

********************************************

Answer:
`46√(2)`

Explanation:

`4√(32) + 6√(50)`

=
`4√(2*2*2*2*2) + 6√(2*5*5)`

=
`4*2*2√(2) + 6*5√(2)`

=
`16√(2) + 30√(2)`

=
`46√(2)`