Question

I need help working on radical expressions

1) 9√32 - √2
2) √24 + √54
3) √12 - 6√3
4) √2√8
5) (4√3)
6) √32/√2
7) (3+√5)(2+√5)

Answer 1

Explanation:

1) 9√32 - √2

= 9*
`√(2*16)` - √2

= 9*4√2 - √2

= 35√2

2) √24 + √54

=
`√(4*6)` +
`√(9*6)`

= 2√6 + 3√6

= 5√6

3) √12 - 6√3

=
`√(4*3)` - 6√3

=2√3 - 6√3

= -4√3

5) (4√3)

=
`√(16*3)`

= √48

6) √32/√2

=
`√(16*2) √(2)`

=
`4√(2) *√(2)`

= 4*2

= 8

7) (3+√5)(2+√5)

= 6 + 3√5 + 2√5 + 5

= 11 + 5√5