Part II: The Answers
132
Answers
1–100
8 20
50 12
8 20
50 12
2 2
5 3
4
15
2
15
2
15
15
15
2 15
15
=
=
=
=
=
⋅
=
( )
( )
( )
( )
16.
10
2 4 9
x y z x
Begin by writing the expression using a single square root sign. Then combine like
bases and simplify:
20
5
20
5
100
100
4 6 11
2 7
4 6 11
2 7
5 8 18
5
8
18
x y z
xy z
x y z
xy z
x y z
x y z
= (
)(
)
=
=
= 1 10
2
4 9
x xy z
17.
x y z x
3 4 5
2
3
Begin by writing the expression using a single cube root sign. Combine the factors with
like bases and then simplify:
x y z x y z
x y z
x
y
z
x x y z
4 8 5
3
7 4 10
3
11 12 15
3
11
3
12
3
15
3
3
2
3
4 5
=
=
=
18.
2
2
4
5
xy y
Simplify each root individually and then use properties of exponents to
simplify further:
8
2
2
3 6
3
10 14
5
14 14
7
2
2 2
4
5
2 2
2
4
5
x y x y
x y
xy
x y y
x y
xy y
=
( )(
)
=