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Let’s check out your problem:
Multiply. Write your answer in simplest form.
\newline
15
×
5
\sqrt{15} \times \sqrt{5}
15
×
5
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Math Problems
Algebra 1
Multiply radical expressions
Full solution
Q.
Multiply. Write your answer in simplest form.
\newline
15
×
5
\sqrt{15} \times \sqrt{5}
15
×
5
Multiply square roots:
Multiply the square roots together using the product rule.
15
×
5
=
15
×
5
\sqrt{15} \times \sqrt{5} = \sqrt{15 \times 5}
15
×
5
=
15
×
5
Calculate product inside radical:
Calculate the product inside the radical.
15
×
5
=
75
\sqrt{15 \times 5} = \sqrt{75}
15
×
5
=
75
Simplify square root of
75
75
75
:
Simplify the
square root
of
75
75
75
.
75
=
25
×
3
=
25
×
3
\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3}
75
=
25
×
3
=
25
×
3
Recognize perfect square:
Recognize that
25
\sqrt{25}
25
is a perfect square.
25
×
3
=
5
×
3
\sqrt{25} \times \sqrt{3} = 5 \times \sqrt{3}
25
×
3
=
5
×
3
Write final answer:
Write the final answer in simplest form.
\newline
5
×
3
5 \times \sqrt{3}
5
×
3
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