Rationalize and simplify the expression $\frac{9}{\sqrt{6}}$

Step-by-step Solution

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Final answer to the problem

$\frac{9\sqrt{6}}{6}$
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Step-by-step Solution

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  • Produit de binômes avec terme commun
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1

Apply the formula: $\frac{a}{b}$$=\frac{a}{b}\frac{radicalfactor\left(b\right)}{radicalfactor\left(b\right)}$, where $a=9$ and $b=\sqrt{6}$

$\frac{9}{\sqrt{6}}\cdot \frac{\sqrt{6}}{\sqrt{6}}$

Learn how to solve rationalisation problems step by step online.

$\frac{9}{\sqrt{6}}\cdot \frac{\sqrt{6}}{\sqrt{6}}$

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Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 9/(6^(1/2)). Apply the formula: \frac{a}{b}=\frac{a}{b}\frac{radicalfactor\left(b\right)}{radicalfactor\left(b\right)}, where a=9 and b=\sqrt{6}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=9, b=\sqrt{6}, c=\sqrt{6}, a/b=\frac{9}{\sqrt{6}}, f=\sqrt{6}, c/f=\frac{\sqrt{6}}{\sqrt{6}} and a/bc/f=\frac{9}{\sqrt{6}}\cdot \frac{\sqrt{6}}{\sqrt{6}}. Apply the formula: x\cdot x=x^2, where x=\sqrt{6}. Apply the formula: \left(x^a\right)^b=x, where a=\frac{1}{2}, b=2, x^a^b=\left(\sqrt{6}\right)^2, x=6 and x^a=\sqrt{6}.

Final answer to the problem

$\frac{9\sqrt{6}}{6}$

Exact Numeric Answer

$3.674235$

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Function Plot

Plotting: $\frac{9\sqrt{6}}{6}$

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0
a
b
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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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Main Topic: Rationalisation

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