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Let’s check out your problem:
Multiply. Write your answer in simplest form.
\newline
3
(
4
−
3
)
\sqrt{3}(4 - \sqrt{3})
3
(
4
−
3
)
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Math Problems
Algebra 1
Simplify radical expressions using the distributive property
Full solution
Q.
Multiply. Write your answer in simplest form.
\newline
3
(
4
−
3
)
\sqrt{3}(4 - \sqrt{3})
3
(
4
−
3
)
Distribute
3
\sqrt{3}
3
:
Distribute
3
\sqrt{3}
3
across the terms inside the parentheses.
3
(
4
−
3
)
=
3
×
4
−
3
×
3
\sqrt{3}(4 - \sqrt{3}) = \sqrt{3} \times 4 - \sqrt{3} \times \sqrt{3}
3
(
4
−
3
)
=
3
×
4
−
3
×
3
Multiply by
4
4
4
:
Multiply
3
\sqrt{3}
3
by
4
4
4
.
3
×
4
=
4
3
\sqrt{3} \times 4 = 4\sqrt{3}
3
×
4
=
4
3
Multiply by
3
\sqrt{3}
3
:
Multiply
3
\sqrt{3}
3
by
3
\sqrt{3}
3
.
3
×
3
=
3
\sqrt{3} \times \sqrt{3} = 3
3
×
3
=
3
Combine results:
Combine the results from the previous steps.
4
3
−
3
4\sqrt{3} - 3
4
3
−
3
Check for simplification:
Check if the expression can be simplified further.
\newline
The expression
4
3
−
3
4\sqrt{3} - 3
4
3
−
3
is already in its simplest form.
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