The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number
<h3>Surd operation</h3>
Surd multiplication can be carried out as illustrated below:
a√b × c√d = (a × c)√(b × d)
<h3>How to determine the product of 4√27 and 5√3</h3>
The product of 4√27 and 5√3 can obtained as illustrated below:
a√b × c√d = (a × c)√(b × d)
4√27 × 5√3 = (4 × 5)√(27 × 3)
4√27 × 5√3 = 20√81
But
√81 = 9
Thus,
4√27 × 5√3 = 20 × 9
4√27 × 5√3 = 180
Therefore, the product of 4√27 and 5√3 is 180
<h3>What are rational numbers?</h3>
These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero
Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)
Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number
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