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Let’s check out your problem:
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
5
×
2
3
5 \times \frac{2}{3}
5
×
3
2
?
5
5
5
\newline
Choices:
\newline
(A) >
\newline
(B) <
\newline
(C)
=
=
=
View step-by-step help
Home
Math Problems
Algebra 2
Simplify radical expressions with variables II
Full solution
Q.
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
5
×
2
3
5 \times \frac{2}{3}
5
×
3
2
?
5
5
5
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Simplify Expression:
First, simplify the expression
5
5
5
*
2
2
2
/
3
3
3
.
\newline
Calculation:
5
×
2
3
=
10
3
5 \times \frac{2}{3} = \frac{10}{3}
5
×
3
2
=
3
10
.
Compare
Fractions
:
Next, compare
10
3
\frac{10}{3}
3
10
with
5
5
5
.
\newline
Convert
5
5
5
to a
fraction
:
5
=
15
3
5 = \frac{15}{3}
5
=
3
15
.
\newline
Now,
10
3
\frac{10}{3}
3
10
versus
15
3
\frac{15}{3}
3
15
.
Choose Correct Symbol:
Since
10
3
\frac{10}{3}
3
10
(approximately
3
3
3
.
33
33
33
) is less than
15
3
\frac{15}{3}
3
15
(which is
5
5
5
),
\newline
The correct symbol is <.
More problems from Simplify radical expressions with variables II
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
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Question
Find the real-number root.
\newline
9
16
\sqrt{\frac{9}{16}}
16
9
\newline
Simplify your answer and write it as a decimal or as a proper or improper fraction.
\newline
_
_
_
_
_
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Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
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Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
273
×
42
\newline
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Question
Simplify.
\newline
63
4
\sqrt{\frac{63}{4}}
4
63
\newline
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Question
Simplify. Rationalize the denominator.
\newline
−
4
9
−
2
\frac{-4}{9 - \sqrt{2}}
9
−
2
−
4
\newline
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Question
Solve for
z
z
z
.
\newline
16
=
z
16 = \sqrt{z}
16
=
z
\newline
z
=
z =
z
=
_____
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Posted 1 year ago
Question
Simplify the radical expression.
14
x
14
\sqrt{14x^{14}}
14
x
14
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
. ______
Get tutor help
Posted 1 year ago
Question
Simplify the radical expression.
\newline
12
x
12
\sqrt{12x^{12}}
12
x
12
\newline
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
.
\newline
‾
\underline{\hspace{3cm}}
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Posted 1 year ago
Question
What is the value of
sin
(
5
π
6
)
?
\sin \left(\frac{5 \pi}{6}\right) ?
sin
(
6
5
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
2
-\frac{\sqrt{3}}{2}
−
2
3
\newline
(B)
−
2
2
-\frac{\sqrt{2}}{2}
−
2
2
\newline
(C)
1
2
\frac{1}{2}
2
1
\newline
(D)
150
150
150
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Posted 1 year ago
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