Rationalize and simplify the expression $\frac{10}{\sqrt{2}}$

Step-by-step Solution

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Final answer to the problem

$\frac{10\sqrt{2}}{2}$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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  • Weierstrass Substitution
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1

To rationalize the denominator of the fraction, we multiply the numerator and denominator by $\sqrt{2}$

Learn how to solve rationalisation problems step by step online.

$\frac{10}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}$

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Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 10/(2^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{2}. Multiplying fractions \frac{10}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}. When multiplying two powers that have the same base (\sqrt{2}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.

Final answer to the problem

$\frac{10\sqrt{2}}{2}$

Exact Numeric Answer

$7.071068$

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Function Plot

Plotting: $\frac{10\sqrt{2}}{2}$

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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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