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Rationalize and simplify the expression $\frac{\left(3-\sqrt{3}\right)\cdot 1}{3+\sqrt{3}}$

Step-by-step Solution

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Final answer to the problem

$\frac{\left(3-\sqrt{3}\right)^2}{6}$
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Step-by-step Solution

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Multiply and divide the fraction $\frac{\left(3-\sqrt{3}\right)\cdot 1}{3+\sqrt{3}}$ by the conjugate of it's denominator $3+\sqrt{3}$

$\frac{\left(3-\sqrt{3}\right)\cdot 1}{3+\sqrt{3}}\cdot \frac{3-\sqrt{3}}{3-\sqrt{3}}$

Learn how to solve rationalisation problems step by step online.

$\frac{\left(3-\sqrt{3}\right)\cdot 1}{3+\sqrt{3}}\cdot \frac{3-\sqrt{3}}{3-\sqrt{3}}$

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Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression ((3-3^1/2)1)/(3+3^1/2). Multiply and divide the fraction \frac{\left(3-\sqrt{3}\right)\cdot 1}{3+\sqrt{3}} by the conjugate of it's denominator 3+\sqrt{3}. Multiplying fractions \frac{\left(3-\sqrt{3}\right)\cdot 1}{3+\sqrt{3}} \times \frac{3-\sqrt{3}}{3-\sqrt{3}}. When multiplying two powers that have the same base (3-\sqrt{3}), you can add the exponents. Solve the product of difference of squares \left(3+\sqrt{3}\right)\cdot \left(3-\sqrt{3}\right).

Final answer to the problem

$\frac{\left(3-\sqrt{3}\right)^2}{6}$

Exact Numeric Answer

$0.267949$

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Function Plot

Plotting: $\frac{\left(3-\sqrt{3}\right)^2}{6}$

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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: 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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