The value of the expression [tex]\frac{\sqrt{3} x^{5}}{8x^{2}}[/tex] after rationalizing the denominator is [tex]\frac{\sqrt{3}(x^{3})}{8}[/tex]..
A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Rationalizing the denominator is the process of shifting a root, such as a cube root or a square root, from the fraction's denominator to its numerator (numerator).
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
The numerator is the part of a fraction that comes before the vinculum.
The denominator of a fraction is the phrase that comes before the vinculum.
Consider the expression,
[tex]\frac{\sqrt{3} x^{5}}{8x^{2}}[/tex]
Now, let [tex]y=\frac{\sqrt{3} x^{5}}{8x^{2}}[/tex]
[tex]y=\frac{\sqrt{3} x^{2}(x^{3})}{8x^{2}}[/tex]
Using the exponent rule [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]y=\frac{\sqrt{3}(x^{3})}{8}[/tex]
The value of the expression when rationalized [tex]\frac{\sqrt{3} x^{5}}{8x^{2}}[/tex] is [tex]\frac{\sqrt{3}(x^{3})}{8}[/tex].
Learn more about rationalizing here:
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