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Let’s check out your problem:
Multiply. Write your answer in simplest form.
\newline
6
×
2
\sqrt{6} \times \sqrt{2}
6
×
2
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Math Problems
Algebra 1
Multiply radical expressions
Full solution
Q.
Multiply. Write your answer in simplest form.
\newline
6
×
2
\sqrt{6} \times \sqrt{2}
6
×
2
Multiply Square Roots:
Multiply the square roots directly.
6
×
2
=
6
×
2
\sqrt{6} \times \sqrt{2} = \sqrt{6 \times 2}
6
×
2
=
6
×
2
Calculate Product Inside Radical:
Calculate the product inside the radical.
6
×
2
=
12
\sqrt{6 \times 2} = \sqrt{12}
6
×
2
=
12
Check for Simplification:
Check if
12
\sqrt{12}
12
can be simplified.
12
12
12
is
4
4
4
times
3
3
3
, and
4
4
4
is a perfect square.
Write Product Inside Radical:
Write
12
12
12
as the product of
4
4
4
and
3
3
3
inside the radical.
\newline
12
=
4
×
3
\sqrt{12} = \sqrt{4 \times 3}
12
=
4
×
3
Simplify Perfect Square:
Simplify the
square root
of the perfect square.
4
×
3
=
4
×
3
\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3}
4
×
3
=
4
×
3
Calculate Square Root:
Calculate the square root of
4
4
4
.
4
=
2
\sqrt{4} = 2
4
=
2
Write Final Answer:
Write the final answer.
2
×
3
2 \times \sqrt{3}
2
×
3
More problems from Multiply radical expressions
Question
Home w
\newline
(
3
+
7
)
(
4
−
13
)
(3+\sqrt{7})(4-\sqrt{13})
(
3
+
7
)
(
4
−
13
)
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d)
pizza
⋅
pizza
\sqrt{\text{pizza}} \cdot \sqrt{\text{pizza}}
pizza
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Compute the multiplication of the square roots and simplify.
\newline
14
×
7
\sqrt{14} \times \sqrt{7}
14
×
7
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Question
Determine the simplest product of the two square roots.
\newline
18
×
6
\sqrt{18} \times \sqrt{6}
18
×
6
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Posted 7 months ago
Question
Perform the multiplication and express the result in the simplest form.
\newline
12
×
4
\sqrt{12}\times\sqrt{4}
12
×
4
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Posted 7 months ago
Question
Find the result of the following operation in its simplest form.
\newline
10
⋅
3
\sqrt{10}\cdot\sqrt{3}
10
⋅
3
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Question
Calculate the product and reduce to the lowest terms.
\newline
8
×
2
\sqrt{8}\times\sqrt{2}
8
×
2
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Question
Multiply. Write your answer in simplest form.
\newline
3
×
2
\sqrt{3} \times \sqrt{2}
3
×
2
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Posted 7 months ago
Question
Multiply. Write your answer in simplest form.
\newline
2
×
5
\sqrt{2}\times\sqrt{5}
2
×
5
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Posted 7 months ago
Question
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
and then picking a
4
4
4
?
\newline
Write your answer as a percentage.
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Posted 1 month ago
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