Answer:
Step-by-step explanation:
Multiply numerator and denominator by
√
7
:
Step-by-step explanation:
2
√
7
⋅
(
√
7
√
7
)
=
2
√
7
7
.
That is considered "rationalized" since the denominator is now a rational number, 7.
Example: Simplify
2
3
√
12
Simplify the denominator first, then rationalize.
2
3
√
4
√
3
=
2
3
⋅
2
√
3
=
2
6
√
3
and reduce the
2
6
=
1
3
√
3
.
NOW, multiply top and bottom by
√
3
:
1
3
√
3
⋅
(
√
3
√
3
)
=
√
3
3
⋅
3
=
√
3
9
.