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Find the product of 2√6 and √24 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result: I
The result is
because it
integers and its decimal expansion
Submit Answer
V
✓be written as the ratio of two
terminate or repeat.
attempt 1 out

Find the product of 26 and 24 in simplest form Also determine whether the result is rational or irrational and explain your answer Result I The result is becaus class=

Respuesta :

xero099

By algebraic procedures, the result is a rational number as it can be written as a ratio of two integers and its decimal expansion is finite. The result is 24.

How to simplify a product of two irrational numbers

In this question we have two irrational numbers, whose product we have to determine by the use of algebra properties. Now we proceed to present the procedure in detail according to algebra:

2√6 × √24                Given

2√6 × √(6 × 4)          Factor decomposition

2√6 × √6 × √4         Square root of a product

2 × 2 × 6                    Definition of square root / Square root of a product

24                              Definition of multiplication / Result

By algebraic procedures, the result is a rational number as it can be written as a ratio of two integers and its decimal expansion is finite. The result is 24.

To learn more on irrational numbers: https://brainly.com/question/4031928

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