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Let’s check out your problem:
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
_
_
_
_
_
\_\_\_\_\_
_____
View step-by-step help
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Math Problems
Algebra 2
Roots of rational numbers
Full solution
Q.
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
_
_
_
_
_
\_\_\_\_\_
_____
Apply Quotient Rule of Radicals:
Apply the quotient rule of radicals to
9
16
\sqrt{\frac{9}{16}}
16
9
.
\newline
9
16
=
9
16
\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}}
16
9
=
16
9
Find Square Root of Numerator and Denominator:
Find the
square root
of the numerator and denominator separately.
\newline
9
=
3
×
3
=
3
\sqrt{9} = \sqrt{3 \times 3} = 3
9
=
3
×
3
=
3
\newline
16
=
4
×
4
=
4
\sqrt{16} = \sqrt{4 \times 4} = 4
16
=
4
×
4
=
4
Combine Square Roots to Find Value:
Combine the square roots to find the value of
9
16
\sqrt{\frac{9}{16}}
16
9
.
9
16
=
9
16
=
3
4
\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}} = \frac{3}{4}
16
9
=
16
9
=
4
3
More problems from Roots of rational numbers
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
Posted 1 year ago
Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
_______
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Posted 1 year ago
Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
273
×
42
\newline
______
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Posted 1 year ago
Question
Simplify.
\newline
63
4
\sqrt{\frac{63}{4}}
4
63
\newline
______
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Posted 1 year ago
Question
Simplify. Rationalize the denominator.
\newline
−
4
9
−
2
\frac{-4}{9 - \sqrt{2}}
9
−
2
−
4
\newline
______
Get tutor help
Posted 1 year ago
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}}
Get tutor help
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
Get tutor help
Posted 1 year 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.
Get tutor help
Posted 5 months ago
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