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Rationalize and simplify the expression $\frac{2\sqrt{12}}{4\sqrt{7}+3\sqrt{2}}$

Step-by-step Solution

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Final answer to the problem

$\frac{2\sqrt{12}\cdot \left(4\sqrt{7}-3\sqrt{2}\right)}{94}$
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Step-by-step Solution

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Multiply and divide the fraction $\frac{2\sqrt{12}}{4\sqrt{7}+3\sqrt{2}}$ by the conjugate of it's denominator $4\sqrt{7}+3\sqrt{2}$

$\frac{2\sqrt{12}}{4\sqrt{7}+3\sqrt{2}}\cdot \frac{4\sqrt{7}-3\sqrt{2}}{4\sqrt{7}-3\sqrt{2}}$

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$\frac{2\sqrt{12}}{4\sqrt{7}+3\sqrt{2}}\cdot \frac{4\sqrt{7}-3\sqrt{2}}{4\sqrt{7}-3\sqrt{2}}$

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Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression (212^1/2)/(47^1/2+32^1/2). Multiply and divide the fraction \frac{2\sqrt{12}}{4\sqrt{7}+3\sqrt{2}} by the conjugate of it's denominator 4\sqrt{7}+3\sqrt{2}. Multiplying fractions \frac{2\sqrt{12}}{4\sqrt{7}+3\sqrt{2}} \times \frac{4\sqrt{7}-3\sqrt{2}}{4\sqrt{7}-3\sqrt{2}}. Solve the product of difference of squares \left(4\sqrt{7}+3\sqrt{2}\right)\cdot \left(4\sqrt{7}-3\sqrt{2}\right).

Final answer to the problem

$\frac{2\sqrt{12}\cdot \left(4\sqrt{7}-3\sqrt{2}\right)}{94}$

Exact Numeric Answer

$0.467312$

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Function Plot

Plotting: $\frac{2\sqrt{12}\cdot \left(4\sqrt{7}-3\sqrt{2}\right)}{94}$

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0
a
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g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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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: Rationalisation

In elementary algebra, root rationalisation is a process by which radicals in the denominator of an algebraic fraction are eliminated.

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