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Math Problems
Algebra 1
Simplify radical expressions involving fractions
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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(
b
+
4
b
)
2
=
5
(b+4 \sqrt{b})^{2}=5
(
b
+
4
b
)
2
=
5
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3
x
2
−
3
y
2
3
\frac{3x^{2}-3y}{2}\sqrt{3}
2
3
x
2
−
3
y
3
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11
11
11
. Perhatikan gambar berikut!
\newline
Tentukan nilai A!
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16
−
2
6
2
\frac{16-2 \sqrt{6}}{2}
2
16
−
2
6
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2
5885
2 \sqrt{5885}
2
5885
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128
+
8
\sqrt{128}+\sqrt{8}
128
+
8
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m
−
4
3
m
−
3
−
4
m
2
m
−
4
\frac{m-4}{3 m-3}-\frac{4 m}{2 m-4}
3
m
−
3
m
−
4
−
2
m
−
4
4
m
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5
4
125
\frac{\sqrt{5}}{4 \sqrt{125}}
4
125
5
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−
3
27
3
-\frac{3 \sqrt{27}}{\sqrt{3}}
−
3
3
27
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2
x
6
x
10
2x6x10
2
x
6
x
10
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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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2
53
2 \sqrt{53}
2
53
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Satu paket siomay terdiri dari
10
10
10
buah, yakni dapat terdiri dari siomay, tahu, telur, kentang, kol, dan pare. Jika tidak suka pare atau kol, bisa diganti dengan bahan lain. Jumlah pare dan kol maksimal
1
1
1
buah. Telur harus
1
1
1
buah dan siomay minimal
3
3
3
buah. Banyak cara pemilihan isi satu paket Siomay adalah..
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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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3
4
(
4
h
−
6
)
\frac{3}{4}(4 h-6)
4
3
(
4
h
−
6
)
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2
14
9
\frac{2 \sqrt{14}}{9}
9
2
14
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2
−
3
2
18
\frac{2-3 \sqrt{2}}{\sqrt{18}}
18
2
−
3
2
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2
162
2 \sqrt{162}
2
162
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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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