Simplify the product of radicals $\sqrt{2}\sqrt{8}$

Step-by-step Solution

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Final answer to the problem

$\sqrt{\left(2\right)^{3}}\sqrt{2}$
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Step-by-step Solution

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  • Write in simplest form
  • Prime Factor Decomposition
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1

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

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

$\sqrt{16}$

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Learn how to solve product of radicals problems step by step online. Simplify the product of radicals 2^(1/2)*8^(1/2). Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n. Rewrite 16 as a power. Split 2^{4} as a product of powers of 2. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$\sqrt{\left(2\right)^{3}}\sqrt{2}$

Exact Numeric Answer

$4$

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Function Plot

Plotting: $\sqrt{\left(2\right)^{3}}\sqrt{2}$

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Go!
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: Product of Radicals

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

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