Rationalize the denominator (5x^(3) )/(√(4x-6) )

Kay Wu asked Dec 2, 2023

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23 votes

Rationalize the denominator

(5x^(3) )/(√(4x-6) )

Kay Wu asked Dec 2, 2023

2.6k points

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21 votes

Answer:

(5x^3√(4x-6) )/(4x-6)

Explanation:

to rationalise the denominator multiply the numerator and denominator by
√(4x-6)

making use of the rule
√(x) ×
√(x) = x

(5x^3)/(√(4x-6) ) ×
(√(4x-6) )/(√(4x-6) )

=
(5x^3√(4x-6) )/(4x-6)

Theglauber answered Dec 8, 2023

3.1k points

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