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Let’s check out your problem:
Add. Write your answer in simplest form.
\newline
10
2
+
4
2
10\sqrt{2} + 4\sqrt{2}
10
2
+
4
2
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Math Problems
Algebra 1
Add and subtract radical expressions
Full solution
Q.
Add. Write your answer in simplest form.
\newline
10
2
+
4
2
10\sqrt{2} + 4\sqrt{2}
10
2
+
4
2
Identify Like Terms:
Identify the like terms in the expression.
10
2
10\sqrt{2}
10
2
and
4
2
4\sqrt{2}
4
2
are like terms because they both have the same radical part,
2
\sqrt{2}
2
.
Combine Coefficients:
Combine the coefficients of the like terms.
\newline
10
2
+
4
2
=
(
10
+
4
)
2
10\sqrt{2} + 4\sqrt{2} = (10 + 4)\sqrt{2}
10
2
+
4
2
=
(
10
+
4
)
2
Perform Addition:
Perform the addition of the coefficients.
\newline
(
10
+
4
)
2
=
14
2
(10 + 4)\sqrt{2} = 14\sqrt{2}
(
10
+
4
)
2
=
14
2
Write Final Answer:
Write the final answer in simplest form.
\newline
The expression is already in simplest form, so the final answer is
14
2
14\sqrt{2}
14
2
.
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