Kathy Williams

2021-12-19

How to solve $\frac{18}{\sqrt{3}}$ ?

macalpinee3

Expert

Explanation:
to simplify $\frac{18}{\sqrt{3}}$
Make use of the following
$\sqrt{a}×\sqrt{a}=a$
as an example
$\sqrt{100}×\sqrt{100}=10×10=100$
what we have to do here is rationalise the denominator
this means eliminating the radical from the denominator
multiply the numerator/denominator by $\sqrt{3}$
$⇒\frac{18}{\sqrt{3}}×\frac{\sqrt{3}}{\sqrt{3}}=6\sqrt{3}$

Jim Hunt

Expert

Multiply $\frac{18}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$
$\frac{18}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}$
Combine and simplify the denominator
$\frac{18\sqrt{3}}{3}$
Cancel the common factor of 18 and 3
$6\sqrt{3}$
The result can be shown in multiple forms.
Exact form: $6\sqrt{3}$
Decimal Form: $10.39230484\dots$

RizerMix

Expert