Question

Find the product of 5√6 and √11 in simplest form. Also, determine whether the

result is rational or irrational and explain your answer.
Result:
√
The result is
because it
integers and its decimal expansion
✓be written as the ratio of two
terminate or repeat

Answer 1

Explanation:

When you multiply radicals together, the only rule that needs to be followed is that the index is the same on both. These are both square roots (so the index is a 2 on each radical) so we can multiply the radicals together to get 5√66. That does not simplify at all and is irrational (since the decimal goes on without repeating)