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# Solve the product power $\sqrt{2\cdot 2\sqrt{5-3\sqrt{20}}}$

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##  Final Answer

$3.406526\sqrt{i}$
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##  Step-by-step Solution 

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Multiply $2$ times $2$

$\sqrt{4\sqrt{5-3\sqrt{20}}}$

Learn how to solve power of a product problems step by step online.

$\sqrt{4\sqrt{5-3\sqrt{20}}}$

Learn how to solve power of a product problems step by step online. Solve the product power (2*2(5-320^1/2)^1/2)^1/2. Multiply 2 times 2. Calculate the square root of 20. Multiply -3 times 2\sqrt{5}. Subtract the values 5 and -6\sqrt{5}.

##  Final Answer

$3.406526\sqrt{i}$

##  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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeSolve by quadratic formula (general formula)Find break even pointsFind the discriminantPrime Factor Decomposition

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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: Power of a product

The power of a product of factors is equal to the product of each factor to the same power: $\left(b\cdot c\right)^n=b^n\cdot c^n$.

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