Rationalize and simplify the expression $\frac{3}{5+\sqrt{3}}$

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Final answer to the problem

$\frac{3\left(5-\sqrt{3}\right)}{22}$
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Apply the formula: $\frac{a}{b}$$=\frac{a}{b}\frac{conjugate\left(b\right)}{conjugate\left(b\right)}$, where $a=3$, $b=5+\sqrt{3}$ and $a/b=\frac{3}{5+\sqrt{3}}$

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

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

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Impara online a risolvere i problemi di razionalizzazione passo dopo passo. Rationalize and simplify the expression 3/(5+3^(1/2)). Apply the formula: \frac{a}{b}=\frac{a}{b}\frac{conjugate\left(b\right)}{conjugate\left(b\right)}, where a=3, b=5+\sqrt{3} and a/b=\frac{3}{5+\sqrt{3}}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=3, b=5+\sqrt{3}, c=5-\sqrt{3}, a/b=\frac{3}{5+\sqrt{3}}, f=5-\sqrt{3}, c/f=\frac{5-\sqrt{3}}{5-\sqrt{3}} and a/bc/f=\frac{3}{5+\sqrt{3}}\cdot \frac{5-\sqrt{3}}{5-\sqrt{3}}. Apply the formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, where a=5, b=\sqrt{3}, c=-\sqrt{3}, a+c=5-\sqrt{3} and a+b=5+\sqrt{3}. Apply the formula: a+b=a+b, where a=25, b=-3 and a+b=25-3.

Final answer to the problem

$\frac{3\left(5-\sqrt{3}\right)}{22}$

Exact Numeric Answer

$0.445629$

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Plotting: $\frac{3\left(5-\sqrt{3}\right)}{22}$

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7
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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

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