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Let’s check out your problem:
Simplify.
\newline
2
⋅
6
\sqrt{2} \cdot \sqrt{6}
2
⋅
6
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Math Problems
Algebra 1
Multiply radical expressions
Full solution
Q.
Simplify.
\newline
2
⋅
6
\sqrt{2} \cdot \sqrt{6}
2
⋅
6
Apply product rule of radicals:
Step
1
1
1
: Apply the product rule of radicals.
\newline
Calculation:
2
×
6
=
2
×
6
\sqrt{2} \times \sqrt{6} = \sqrt{2 \times 6}
2
×
6
=
2
×
6
Multiply numbers inside radical:
Step
2
2
2
: Multiply the numbers inside the radical.
\newline
Calculation:
2
×
6
=
12
\sqrt{2 \times 6} = \sqrt{12}
2
×
6
=
12
Simplify
12
\sqrt{12}
12
:
Step
3
3
3
: Simplify
12
\sqrt{12}
12
.
\newline
Calculation:
12
=
4
×
3
=
2
×
3
\sqrt{12} = \sqrt{4 \times 3} = 2 \times \sqrt{3}
12
=
4
×
3
=
2
×
3
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