Simplify the subtraction of radicals $\sqrt{45}-\sqrt{27}-\sqrt{20}$

Step-by-step Solution

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Final answer to the problem

$3\sqrt{5}-2$
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Step-by-step Solution

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  • Write in simplest form
  • Prime Factor Decomposition
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
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  • Factor
  • Factor by completing the square
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1

Rewrite $45$ as a power

$\sqrt{53^{2}}-\sqrt{27}-\sqrt{20}$

Learn how to solve multiply powers of same base problems step by step online.

$\sqrt{53^{2}}-\sqrt{27}-\sqrt{20}$

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Learn how to solve multiply powers of same base problems step by step online. Simplify the subtraction of radicals 45^(1/2)-27^(1/2)-20^(1/2). Rewrite 45 as a power. Rewrite 27 as a power. Rewrite 20 as a power. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$3\sqrt{5}-2$

Exact Numeric Answer

$4.708204$

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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

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Function Plot

Plotting: $3\sqrt{5}-2$

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Answer Assistant

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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: Multiply powers of same base

When multiplying powers of same base we can add the exponents.

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