Rationalize and simplify the expression $\frac{m}{\sqrt{y-2+m}-\sqrt{y-2}}$

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Final answer to the problem

$\frac{m\left(\sqrt{y-2+m}+\sqrt{y-2}\right)}{y+0+m-y}$
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Multiply and divide the fraction $\frac{m}{\sqrt{y-2+m}-\sqrt{y-2}}$ by the conjugate of it's denominator $\sqrt{y-2+m}-\sqrt{y-2}$

$\frac{m}{\sqrt{y-2+m}-\sqrt{y-2}}\frac{\sqrt{y-2+m}+\sqrt{y-2}}{\sqrt{y-2+m}+\sqrt{y-2}}$

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$\frac{m}{\sqrt{y-2+m}-\sqrt{y-2}}\frac{\sqrt{y-2+m}+\sqrt{y-2}}{\sqrt{y-2+m}+\sqrt{y-2}}$

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

Final answer to the problem

$\frac{m\left(\sqrt{y-2+m}+\sqrt{y-2}\right)}{y+0+m-y}$

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Plotting: $\frac{m\left(\sqrt{y-2+m}+\sqrt{y-2}\right)}{y+0+m-y}$

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7
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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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