Question

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estion
Answer Attempt 1 out of 3
nd the sum of 3√//25 and 5√/16 in simplest form. Also, determine whether the result is rational o
ational and explain your answer.
Result: 300
√
The result is
its decimal expansion
V
because it
V
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terminate or repeat.
be written as the ratio of two integers and
B

Answer 1

To find the sum of radicals and determine if the result is rational or irrational.

Step-by-step explanation:

To find the sum of 3√25 and 5√16 in simplest form, we need to simplify each radical separately. 3√25 can be simplified as 3 * √5, and 5√16 can be simplified as 5 * 4. So, the sum is 3 * √5 + 5 * 4 which is equal to 3√5 + 20.

The result 3√5 + 20 is not a rational number because it contains an irrational component (√5) which cannot be expressed as the ratio of two integers. Irrational numbers have decimal expansions that do not terminate or repeat, and they cannot be written as a fraction (ratio) of two integers.

Learn more about Finding the sum of radicals and determining rationality