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Math Problems
Grade 8
Relationship between squares and square roots
Find the area of the shape.
\newline
The area is
\newline
◻
◻
◻
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Simplify:
\newline
(
49
)
2
=
(\sqrt{49})^2 =
(
49
)
2
=
_____
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Simplify:
\newline
(
36
)
2
=
(\sqrt{36})^2 =
(
36
)
2
=
_____
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Simplify:
\newline
(
9
)
2
=
(\sqrt{9})^2 =
(
9
)
2
=
_____
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Simplify:
\newline
(
81
)
2
=
(\sqrt{81})^2 =
(
81
)
2
=
_____
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Simplify:
\newline
(
4
)
2
=
\sqrt{(4)^2} =
(
4
)
2
=
_____
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Simplify:
\newline
(
25
)
2
=
\sqrt{(25)^2} =
(
25
)
2
=
_____
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Simplify:
\newline
(
4
)
2
=
(\sqrt{4})^2 =
(
4
)
2
=
_____
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Simplify:
\newline
(
100
)
2
=
\sqrt{(100)^2} =
(
100
)
2
=
_____
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Simplify:
\newline
(
16
)
2
=
\sqrt{(16)^2} =
(
16
)
2
=
___
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15
15
15
. Solve
x
2
−
12
x
+
19
=
0
x^{2}-12 x+19=0
x
2
−
12
x
+
19
=
0
by completing the square.
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What is the area of the triangle?
\newline
square centimeters
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The surface area is
□
\square
□
square units.
\newline
(
1
1
1
)
\newline
2
2
2
\newline
(
3
3
3
)
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
8
8
8
\newline
9
9
9
\newline
0
0
0
\newline
Enter
✓
\checkmark
✓
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Scavenger Hunt
\newline
Name
\newline
\qquad
\newline
Task
\newline
Type
(
4
5
)
2
\left(4^{5}\right)^{2}
(
4
5
)
2
into the calculator.
\newline
Which does it match?
\newline
a.
4
7
4^{7}
4
7
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remove all perfect square from inside the square rood of
450
450
450
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3
=
2
x
2
−
5
x
+
39
−
x
3=\sqrt{2 x^{2}-5 x+39}-x
3
=
2
x
2
−
5
x
+
39
−
x
\newline
What is the product of all solutions to the given equation?
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find square root of
1225
1225
1225
using prime factorisation
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Find the smallest number by which
3645
3645
3645
must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.
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Correct to the nearest tenth, the solution to the radical equation
2
2
x
−
1
−
8
=
0
2 \sqrt{2 x-1}-8=0
2
2
x
−
1
−
8
=
0
is
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82811928
82811928
82811928
divided by
82529
82529
82529
finding the square root of
x
x
x
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Compute:
\newline
93000
÷
1
0
3
93000 \div 10^{3}
93000
÷
1
0
3
\newline
Answer:
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What is the value of
ln
e
2
3
\ln \sqrt[3]{e^{2}}
ln
3
e
2
?
\newline
Answer:
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Fully simplify.
\newline
(
3
x
2
+
y
3
)
2
\left(3 x^{2}+y^{3}\right)^{2}
(
3
x
2
+
y
3
)
2
\newline
Answer:
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Simplify:
\newline
(
9
x
4
)
2
\left(9 x^{4}\right)^{2}
(
9
x
4
)
2
\newline
Answer:
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Simplify:
\newline
(
−
6
x
2
)
3
\left(-6 x^{2}\right)^{3}
(
−
6
x
2
)
3
\newline
Answer:
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Solve for
x
\mathrm{x}
x
:
\newline
2
x
+
26
−
10
=
−
4
\sqrt{2 x+26}-10=-4
2
x
+
26
−
10
=
−
4
\newline
Answer:
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Fully simplify.
\newline
(
4
x
y
)
2
(4 x y)^{2}
(
4
x
y
)
2
\newline
Answer:
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Fully simplify.
\newline
(
3
x
y
3
)
2
\left(3 x y^{3}\right)^{2}
(
3
x
y
3
)
2
\newline
Answer:
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Simplify to a single power of
4
4
4
:
\newline
4
4
×
4
4^{4} \times 4
4
4
×
4
\newline
Answer:
4
□
4 ^\square
4
□
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Simplify to a single power of
4
4
4
:
\newline
4
3
×
4
4^{3} \times 4
4
3
×
4
\newline
Answer:
4
□
4 ^\square
4
□
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Write the number
4.4
×
1
0
2
4.4 \times 10^{2}
4.4
×
1
0
2
in standard form.
\newline
Answer:
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lim
x
→
−
1
5
−
11
x
=
\lim _{x \rightarrow-1} \sqrt{5-11 x}=
lim
x
→
−
1
5
−
11
x
=
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lim
x
→
−
∞
16
x
4
−
8
x
2
x
2
−
2
=
\lim _{x \rightarrow-\infty} \frac{\sqrt{16 x^{4}-8 x^{2}}}{x^{2}-2}=
lim
x
→
−
∞
x
2
−
2
16
x
4
−
8
x
2
=
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lim
x
→
−
∞
6
x
2
−
x
9
x
4
+
7
x
3
=
\lim _{x \rightarrow-\infty} \frac{6 x^{2}-x}{\sqrt{9 x^{4}+7 x^{3}}}=
lim
x
→
−
∞
9
x
4
+
7
x
3
6
x
2
−
x
=
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log
125
5
=
\log _{125} 5=
lo
g
125
5
=
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log
8
64
=
\log _{8} 64=
lo
g
8
64
=
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log
8
1
=
\log _{8} 1=
lo
g
8
1
=
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log
16
4
=
\log _{16} 4=
lo
g
16
4
=
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log
27
9
=
\log _{27} 9=
lo
g
27
9
=
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log
8
2
=
\log _{8} 2=
lo
g
8
2
=
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log
4
8
=
\log _{4} 8=
lo
g
4
8
=
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log
12
1
=
\log _{12} 1=
lo
g
12
1
=
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log
3
1
=
\log _{3} 1=
lo
g
3
1
=
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log
2
32
=
\log _{2} 32=
lo
g
2
32
=
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log
16
8
=
\log _{16} 8=
lo
g
16
8
=
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log
4
16
=
\log _{4} 16=
lo
g
4
16
=
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log
5
25
=
\log _{5} 25=
lo
g
5
25
=
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log
49
7
=
\log _{49} 7=
lo
g
49
7
=
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log
3
27
=
\log _{3} 27=
lo
g
3
27
=
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log
7
49
=
\log _{7} 49=
lo
g
7
49
=
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1
2
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