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Basic Math Examples
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Basic Math
Simplify 8 square root of a(5 square root of b-9)
8
√
a
(
5
√
b
−
9
)
8
a
(
5
b
-
9
)
Step 1
Apply the
distributive property
.
8
√
a
(
5
√
b
)
+
8
√
a
⋅
−
9
8
a
(
5
b
)
+
8
a
⋅
-
9
Step 2
Multiply
8
√
a
(
5
√
b
)
8
a
(
5
b
)
.
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Step 2.1
Multiply
5
5
by
8
8
.
40
√
a
√
b
+
8
√
a
⋅
−
9
40
a
b
+
8
a
⋅
-
9
Step 2.2
Combine
using the
product rule
for radicals.
40
√
b
a
+
8
√
a
⋅
−
9
40
b
a
+
8
a
⋅
-
9
40
√
b
a
+
8
√
a
⋅
−
9
40
b
a
+
8
a
⋅
-
9
Step 3
Multiply
−
9
-
9
by
8
8
.
40
√
b
a
−
72
√
a
40
b
a
-
72
a
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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