Question

Find the difference:


`\sqrt[ {8ab}^(3) ]{{ac}^(2) } - \sqrt[ {14ab}^(3) ]{ {ac}^(2) }`
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Answer 1

Answer: The difference cannot be found because the indices of the radicals are not the same.

Explanation:

To find the difference you need to subtract the radicals. But it is important ot remember the following: To make the subtraction of radicals, the indices and the radicand must be the same.

In this case you have these radicals:

`\sqrt[ {8ab}^(3) ]{{ac}^(2) }- \sqrt[ {14ab}^(3)]{{ac}^(2) }`

You can observe that the radicands are the same, but their indices are not the same.

Therefore, since the indices are different you cannot subtract these radicals.