Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
23
23
23
)
3
2
\frac{\sqrt{3}}{\sqrt{2}}
2
3
View step-by-step help
Home
Math Problems
Algebra 1
Multiply radical expressions
Full solution
Q.
23
23
23
)
3
2
\frac{\sqrt{3}}{\sqrt{2}}
2
3
Apply product rule:
Step
1
1
1
: Apply the product rule for square roots.
\newline
Calculation:
3
2
=
3
2
\frac{\sqrt{3}}{\sqrt{2}} = \sqrt{\frac{3}{2}}
2
3
=
2
3
Rationalize denominator:
Step
2
2
2
: Rationalize the denominator.
\newline
Calculation:
3
2
×
(
2
2
)
=
6
2
\sqrt{\frac{3}{2}} \times \left(\frac{\sqrt{2}}{\sqrt{2}}\right) = \frac{\sqrt{6}}{2}
2
3
×
(
2
2
)
=
2
6
More problems from Multiply radical expressions
Question
Multiply. Write your answer in simplest form.
\newline
15
×
2
\sqrt{15} \times \sqrt{2}
15
×
2
\newline
_____________
Get tutor help
Posted 1 month ago
Question
Simplify.
\newline
125
\sqrt{125}
125
Get tutor help
Posted 2 months ago
Question
Add. Write your answer in simplest form.
\newline
−
6
3
+
7
3
-6\sqrt{3} + 7\sqrt{3}
−
6
3
+
7
3
\newline
______
Get tutor help
Posted 2 months ago
Question
Multiply. Write your answer in simplest form.
\newline
−
2
(
5
−
5
)
-\sqrt{2}(5 - \sqrt{5})
−
2
(
5
−
5
)
Get tutor help
Posted 2 months ago
Question
Simplify. Rationalize the denominator.
\newline
`(-7)/(2 + \sqrt{5}\)`
\newline
______
Get tutor help
Posted 2 months ago
Question
Simplify. Assume
x
x
x
is greater than or equal to zero.
\newline
20
x
3
\sqrt{20x^3}
20
x
3
Get tutor help
Posted 2 months ago
Question
(
1
+
2
)
7
+
(
1
−
2
)
7
(1+\sqrt{2})^{7}+(1-\sqrt{2})^{7}
(
1
+
2
)
7
+
(
1
−
2
)
7
Get tutor help
Posted 1 month ago
Question
−
1
⋅
−
1
\sqrt{-1} \cdot \sqrt{-1}
−
1
⋅
−
1
Get tutor help
Posted 1 month ago
Question
Try these:
\newline
a)
(
i
)
2
(\sqrt{i})^{2}
(
i
)
2
Get tutor help
Posted 1 month ago
Question
∫
(
2
x
+
6
)
5
d
x
\int(2x+6)^5\,dx
∫
(
2
x
+
6
)
5
d
x
Get tutor help
Posted 1 month ago