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Let’s check out your problem:
Multiply. Write your answer in simplest form.
\newline
2
(
5
−
2
)
\sqrt{2}(5 - \sqrt{2})
2
(
5
−
2
)
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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
2
(
5
−
2
)
\sqrt{2}(5 - \sqrt{2})
2
(
5
−
2
)
Distribute
2
\sqrt{2}
2
:
Distribute
2
\sqrt{2}
2
across the terms inside the parentheses.
2
(
5
−
2
)
=
2
×
5
−
2
×
2
\sqrt{2}(5 - \sqrt{2}) = \sqrt{2} \times 5 - \sqrt{2} \times \sqrt{2}
2
(
5
−
2
)
=
2
×
5
−
2
×
2
Multiply by
5
5
5
:
Multiply
2
\sqrt{2}
2
by
5
5
5
.
2
×
5
=
5
2
\sqrt{2} \times 5 = 5\sqrt{2}
2
×
5
=
5
2
Multiply by
2
\sqrt{2}
2
:
Multiply
2
\sqrt{2}
2
by
2
\sqrt{2}
2
.
2
×
2
=
2
\sqrt{2} \times \sqrt{2} = 2
2
×
2
=
2
Combine results:
Combine the results from the previous steps.
5
2
−
2
5\sqrt{2} - 2
5
2
−
2
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\newline
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