Simplify the expression with radicals $\sqrt{2}+\frac{-3\sqrt{5}}{2}\sqrt{2}+\sqrt{5}$

Step-by-step Solution

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Final answer to the problem

$\frac{2\sqrt{2}-3\sqrt{10}+2\sqrt{5}}{2}$
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Step-by-step Solution

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Multiplying the fraction by $\sqrt{2}$

$\sqrt{2}+\frac{-3\sqrt{5}\sqrt{2}}{2}+\sqrt{5}$

Learn how to solve radical expressions problems step by step online.

$\sqrt{2}+\frac{-3\sqrt{5}\sqrt{2}}{2}+\sqrt{5}$

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Unlock the first 3 steps of this solution

Learn how to solve radical expressions problems step by step online. Simplify the expression with radicals 2^(1/2)+(-35^(1/2))/22^(1/2)5^(1/2). Multiplying the fraction by \sqrt{2}. Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n. Multiply 5 times 2. Combine all terms into a single fraction with 2 as common denominator.

Final answer to the problem

$\frac{2\sqrt{2}-3\sqrt{10}+2\sqrt{5}}{2}$

Exact Numeric Answer

$-1.093135$

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Function Plot

Plotting: $\frac{2\sqrt{2}-3\sqrt{10}+2\sqrt{5}}{2}$

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2
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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: Radical Expressions

Radical expressions are those expressions that include a radical, which is the symbol for calculating a root.

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