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# Simplify the product of radicals $\sqrt{2}\sqrt{18}$

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##  Final answer to the problem

$6$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Prime Factor Decomposition
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
Can't find a method? Tell us so we can add it.
1

Apply the property of power of a product in reverse: $a^n\cdot b^n=(a\cdot b)^n$

$\sqrt{2\cdot 18}$

Learn how to solve product of radicals problems step by step online.

$\sqrt{2\cdot 18}$

Learn how to solve product of radicals problems step by step online. Simplify the product of radicals 2^(1/2)18^(1/2). Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n. Multiply 2 times 18. Rewrite 36 as a power. Cancel exponents 2 and 1.

##  Final answer to the problem

$6$

##  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

SnapXam A2

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5
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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

###  Main Topic: Product of Radicals

The product of radicals is an expression that involves the multiplication of two or more radicals.