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Math Problems
Algebra 1
Simplify radical expressions involving fractions
1
1
1
.
A
3
/
b
\frac{A}{3 / b}
3/
b
A
or
A
2
/
b
\frac{A}{2 / b}
2/
b
A
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Simplify by adding, subtracting, multiplying, or dividing, as indicated:
\newline
560
14
\frac{560}{14}
14
560
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11
−
3
11
+
3
\frac{\sqrt{11}-\sqrt{3}}{\sqrt{11}+\sqrt{3}}
11
+
3
11
−
3
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Find the limit.
\newline
lim
x
→
∞
(
ln
x
)
2
x
\lim_{x \to \infty}(\ln x)^{\frac{2}{x}}
lim
x
→
∞
(
ln
x
)
x
2
\newline
A)
1
1
1
\newline
B)
0
0
0
\newline
C)
2
2
2
\newline
D)
e
2
e^{2}
e
2
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Simplify the expression:
(
3
x
2
−
3
y
)
({3x^{2}-3y})
(
3
x
2
−
3
y
)
3
2
\frac{\sqrt3}{2}
2
3
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12
24
18
32
\frac{12 \sqrt{24}}{18 \sqrt{32}}
18
32
12
24
=
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(m.)
4
−
2
10
50
\frac{4-2 \sqrt{10}}{\sqrt{50}}
50
4
−
2
10
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Which expression is equivalent to
d
−
0.31
+
0.43
d
d-0.31+0.43 d
d
−
0.31
+
0.43
d
?
\newline
1.43
d
−
0.31
1.43 d-0.31
1.43
d
−
0.31
\newline
1.12
d
1.12 d
1.12
d
\newline
0.26
d
0.26 d
0.26
d
\newline
d
+
0.12
d+0.12
d
+
0.12
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Divide.
(
3
x
2
)
÷
(
3
x
+
2
)
\left(\frac{3x}{2}\right)\div\left(\frac{3}{x}+2\right)
(
2
3
x
)
÷
(
x
3
+
2
)
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Divide:
34
34
34
/
7
7
7
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1
+
sin
x
cos
2
x
\frac{1+\sin x}{\cos^{2}x}
c
o
s
2
x
1
+
s
i
n
x
=
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Simplify the expression
2
x
2
3
x
2
−
4
x
\frac{2 x^{2}}{3 x^{2}-4 x}
3
x
2
−
4
x
2
x
2
=
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7
+
4
3
\sqrt{7+4\sqrt{3}}
7
+
4
3
=
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Order the following numbers from least to greatest.
\newline
1.3
5
4
1
8
25
\begin{array}{l|l|l} 1.3 & \frac{5}{4} & 1 \frac{8}{25} \end{array}
1.3
4
5
1
25
8
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Evaluate.
\newline
(
−
7
)
5
3
⋅
(
1
56
)
5
3
=
(-7)^{\frac{5}{3}} \cdot\left(\frac{1}{56}\right)^{\frac{5}{3}}=
(
−
7
)
3
5
⋅
(
56
1
)
3
5
=
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Order the following numbers from greatest to least.
\newline
Put the greatest number on the left.
\newline
−
4.5
−
4
5
1.25
−
2
-4.5 \quad-\frac{4}{5} \quad 1.25 \quad-2
−
4.5
−
5
4
1.25
−
2
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Divide the following complex numbers.
\newline
10
−
20
i
4
−
3
i
\frac{10-20 i}{4-3 i}
4
−
3
i
10
−
20
i
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Divide the following complex numbers.
\newline
6
−
7
i
4
+
i
\frac{6-7 i}{4+i}
4
+
i
6
−
7
i
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(
220
4
)
\left(\frac{220}{4}\right)
(
4
220
)
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(
920
4
)
\left(\frac{920}{4}\right)
(
4
920
)
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Simplify.
\newline
9
25
\sqrt{\frac{9}{25}}
25
9
\newline
_____________
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