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Factor the expression $\sqrt{3a^2}b^3\sqrt{6a^5}b$

Step-by-step Solution

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Final Answer

$3\sqrt{2}\sqrt{a^{7}}b^{4}$
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Step-by-step Solution

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When multiplying exponents with same base you can add the exponents: $\sqrt{3a^2}b^3\sqrt{6a^5}b$

$b^{4}\sqrt{3a^2}\sqrt{6a^5}$

Learn how to solve factor problems step by step online.

$b^{4}\sqrt{3a^2}\sqrt{6a^5}$

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Learn how to solve factor problems step by step online. Factor the expression (3a^2)^1/2b^3(6a^5)^1/2b. When multiplying exponents with same base you can add the exponents: \sqrt{3a^2}b^3\sqrt{6a^5}b. The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power \sqrt{3}.

Final Answer

$3\sqrt{2}\sqrt{a^{7}}b^{4}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactor by completing the squareFind the integralFind the derivativeFind 3a^2^0.5b^3 using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $3\sqrt{2}\sqrt{a^{7}}b^{4}$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Factor

Factor the expression.

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