The rationalization the denominator of the given expression is [tex]\frac{10y\sqrt{3}x^3 }{4y^2}[/tex] .
- Rationalization can be thought of as the process used to remove the base or imaginary number from the denominator of an algebraic fraction. That is, remove the radical of the fraction so that the denominator contains only rational numbers.
- Radicals are expressions that use roots such as: B. Square root or cube root. For example, an expression of the form: √(a + b) is a root.
- The mathematical conjugate of any binomial means another exact binomial with opposite signs between the two terms.
We have given an expression [tex]\frac{5\sqrt{3}x^3 }{2y}[/tex] .
The denominator of the expression is 2y .
Multiply the fraction in the numerator and denominator by 2y , we get
[tex]\frac{5\sqrt{3}x^3\times2y }{2y\times2y}=\frac{10y\sqrt{3}x^3 }{4y^2}[/tex]
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