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Rationalize and simplify the expression $\frac{10}{2\sqrt{5}}$

Step-by-step Solution

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Solution

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Final answer to the problem

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

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Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 10/(2*5^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by 2\sqrt{5}. Multiplying fractions \frac{10}{2\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}}. When multiplying two powers that have the same base (\sqrt{5}), you can add the exponents. Cancel the fraction's common factor 2.

Final answer to the problem

$\sqrt{5}$

Exact Numeric Answer

$2.236068$

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Function Plot

Plotting: $\sqrt{5}$

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x
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.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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:

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

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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