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Math Problems
Algebra 2
Simplify radical expressions involving fractions
Simplify.
\newline
75
49
\sqrt{\frac{75}{49}}
49
75
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Simplify.
\newline
28
25
\sqrt{\frac{28}{25}}
25
28
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Simplify.
\newline
10
49
\sqrt{\frac{10}{49}}
49
10
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Simplify.
\newline
21
4
\sqrt{\frac{21}{4}}
4
21
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Simplify.
\newline
28
9
\sqrt{\frac{28}{9}}
9
28
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Simplify.
\newline
63
25
\sqrt{\frac{63}{25}}
25
63
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Simplify.
\newline
125
9
\sqrt{\frac{125}{9}}
9
125
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Simplify.
\newline
343
9
\sqrt{\frac{343}{9}}
9
343
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Simplify.
\newline
12
25
\sqrt{\frac{12}{25}}
25
12
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Simplify.
\newline
8
49
\sqrt{\frac{8}{49}}
49
8
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Simplify.
\newline
15
49
\sqrt{\frac{15}{49}}
49
15
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Simplify.
\newline
4
49
\sqrt{\frac{4}{49}}
49
4
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Simplify.
\newline
49
9
\sqrt{\frac{49}{9}}
9
49
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Simplify.
\newline
14
25
\sqrt{\frac{14}{25}}
25
14
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Simplify.
\newline
49
4
\sqrt{\frac{49}{4}}
4
49
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Simplify.
\newline
125
4
\sqrt{\frac{125}{4}}
4
125
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Simplify.
\newline
343
4
\sqrt{\frac{343}{4}}
4
343
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Simplify.
\newline
21
25
\sqrt{\frac{21}{25}}
25
21
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Simplify.
\newline
105
4
\sqrt{\frac{105}{4}}
4
105
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Simplify.
\newline
175
4
\sqrt{\frac{175}{4}}
4
175
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12
y
(
3
y
4
−
7
y
2
+
1
)
12 y\left(3 y^{4}-7 y^{2}+1\right)
12
y
(
3
y
4
−
7
y
2
+
1
)
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5.72
×
1
0
2
5.72 \times 10^{2}
5.72
×
1
0
2
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Is
2
\sqrt{2}
2
a rational number?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Simplify the expression
454094
98206
\frac{454094}{98206}
98206
454094
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−
96
-\sqrt{96}
−
96
=
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Evaluate
∑
m
≥
1
(
2
m
)
!
m
2
m
\sum_{m \geq 1}\frac{(2m)!}{m^{2m}}
∑
m
≥
1
m
2
m
(
2
m
)!
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Simplify. Express your answer using a single exponent.
\newline
(
11
t
8
)
2
(11t^{8})^{2}
(
11
t
8
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
11
t
5
)
2
(11t^{5})^{2}
(
11
t
5
)
2
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Simplify. Express your answer using a single exponent.
\newline
(
12
d
8
)
2
(12d^{8})^{2}
(
12
d
8
)
2
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Simplify:
\newline
(
3
x
9
x
2
−
16
)
−
(
1
3
x
+
4
)
\left(\frac{3x}{9x^{2}-16}\right)-\left(\frac{1}{3x+4}\right)
(
9
x
2
−
16
3
x
)
−
(
3
x
+
4
1
)
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∫
x
2
cos
(
2
x
+
1
)
d
x
\int x^{2} \cos (2 x+1) d x
∫
x
2
cos
(
2
x
+
1
)
d
x
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w
2
−
20
−
2
=
2
\sqrt{w^{2}-20}-2=2
w
2
−
20
−
2
=
2
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d
d
x
×
100
−
x
2
\frac{d}{d x} \times \sqrt{100-x^{2}}
d
x
d
×
100
−
x
2
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P
=
2
5
m
+
1.5
P = \dfrac{2}{5}m + 1.5
P
=
5
2
m
+
1.5
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10
t
9
+
1
9
t
8
+
1
\frac{10 t^{9}+1}{9 t^{8}+1}
9
t
8
+
1
10
t
9
+
1
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Find `m`
5
m
2
+
7
m
2
m
−
9
−
2
m
2
m
−
9
\qquad\dfrac{5m^2+7m}{2m-9}-\dfrac{2m}{2m-9}
2
m
−
9
5
m
2
+
7
m
−
2
m
−
9
2
m
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2
x
=
8
x
2^{\sqrt{x}}=8^{x}
2
x
=
8
x
.Find `x`
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1
1
a
=
1
1
5
6
11^a = \sqrt[6]{11^5}
1
1
a
=
6
1
1
5
\newline
a
=
□
a = \square
a
=
□
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Simplify.
\newline
5
i
−
(
4
+
6
i
)
5i-(4+6i)
5
i
−
(
4
+
6
i
)
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−
108
-\sqrt{108}
−
108
=
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Simplify
8
k
−
5
(
−
5
k
+
3
)
8k-5(-5k+3)
8
k
−
5
(
−
5
k
+
3
)
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∫
9
x
2
+
2
d
x
\int 9x^{2} + 2 \, dx
∫
9
x
2
+
2
d
x
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∫
0
1
(
4
−
2
x
)
e
8
x
−
2
x
2
d
x
\int _0^1\left(4-2x\right)e^{8x-2x^2}dx
∫
0
1
(
4
−
2
x
)
e
8
x
−
2
x
2
d
x
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simplify.
\newline
sec
2
x
−
1
sec
x
−
1
\frac{\sec^{2}x-1}{\sec x-1}
s
e
c
x
−
1
s
e
c
2
x
−
1
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(
sec
2
x
−
1
)
/
(
sec
x
−
1
)
\left(\sec^{2}x-1\right)/\left(\sec x-1\right)
(
sec
2
x
−
1
)
/
(
sec
x
−
1
)
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a
)
ln
e
2.50
−
ln
e
a) \ln e^{2.50}-\ln \sqrt{e}
a
)
ln
e
2.50
−
ln
e
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∫
sech
2
(
8
x
−
1
)
d
x
\int \text{sech}^2(8x-1) \, dx
∫
sech
2
(
8
x
−
1
)
d
x
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∫
x
2
+
3
d
x
\int x^{2} + 3 \, dx
∫
x
2
+
3
d
x
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Evaluate.
\newline
98
2
1
2
=
\frac{\sqrt{98}}{2^{\frac{1}{2}}}=
2
2
1
98
=
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Order the expressions from least to greatest.
\newline
2
3
−
2
1
2
1
+
3
1
3
2
2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}
2
3
−
2
1
2
1
+
3
1
3
2
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