Answer:
Exact Form:
2√3/3
Decimal Form:
1.15470053
Explanation:
Multiply
2√3
and
√3√3.2√3√
3
√
3
Raise
√
3
to the power of
1
.
2
√
3
√
3
1
√
3
Raise
√
3
to the power of
1
.
2
√
3
√
3
1
√
3
1
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
2
√
3
√
3
1
+
1
Add
1
and
1
.
2
√
3
√
3
2
Rewrite
√
3
2
as
3
.
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Rewrite
√
3
as
3
1
2
.
2
√
3
(
3
1
2
)
2
Apply the power rule and multiply exponents,
(
a
m
)
n
=
a
m
n
.
2
√
3
3
1
2
⋅
2
Combine
1
2
and
2
.
2
√
3
3
2
2
Cancel the common factor of
2
.
Cancel the common factor.
2
√
3
3
2
2
Divide
1
by
1
.
2
√
3
3
1
Evaluate the exponent.
2
√
3
3