Rationalize and simplify the expression $\frac{2}{\sqrt{5}-\sqrt{3}}$

Step-by-step Solution

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Final answer to the problem

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

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Multiply and divide the fraction $\frac{2}{\sqrt{5}-\sqrt{3}}$ by the conjugate of it's denominator $\sqrt{5}-\sqrt{3}$

Learn how to solve factor by difference of squares problems step by step online.

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

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Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression 2/(5^(1/2)-3^(1/2)). Multiply and divide the fraction \frac{2}{\sqrt{5}-\sqrt{3}} by the conjugate of it's denominator \sqrt{5}-\sqrt{3}. Multiplying fractions \frac{2}{\sqrt{5}-\sqrt{3}} \times \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}. Solve the product of difference of squares \left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right). Add the values 5 and -3.

Final answer to the problem

$\sqrt{5}+\sqrt{3}$

Exact Numeric Answer

$3.968119$

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Function Plot

Plotting: $\sqrt{5}+\sqrt{3}$

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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: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

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