respond to the followingwhen studying roots you most often see square roots and cube roots only

Step 1:** Choose a whole number larger than 5. Let's choose 6 as our number, denoted as (n = 6

Respond to the followingwhen studying roots you most often...

When studying roots, you most often see square roots and cube roots; only occasionally do you see the fourth or fifth root. However, it can be interesting to consider other possible roots. To consider other possible roots, answer the questions here: Write a whole number, n, that is larger than 5. To keep things interesting, try to pick an n different from what your classmates have already chosen. Give an example of a number whose nth root (for your n above) is a whole number. Explain how you approached finding your example.

Transcript

00:01 So in this question we're asked to pick a value and they call it in.

00:08 That's step one.

00:09 And then they tell us to find a number whose nth root is whole.

00:20 And the question also talks about roots.

00:23 We know square root.

00:25 There's also a cube root, fourth root, and on and on and on.

00:29 What roots mean is it's asking for numbers that are duplicated and multiplied.

00:34 So, for example, if i wanted the square root of 9, what that's asking is what identical number is multiplied times itself two times, squared means 2? we don't write the 2 here, but there's a little invisible 2 right there.

00:47 What identical number multiplied by itself 2 times gives us 9, and we know that's 3.

00:53 Likewise, if we did, what identical number is multiplied times itself 3 times to get 64, 1, 2, 3 times, same number gives us 64.

01:05 We know that would be 4 and 4 and 4 because 4 times 4 is 16, 16 times 4 is 64.

01:14 So number here indicates to us the number of times that that same value is repeated in order to get our number on the inside.

01:24 So to do this, the number that we pick, we're told it has to be greater than 5.

01:29 So we're going to pick a number greater than 5, and then we need to find a number that whenever we put it under, this, we get a whole number, not a decimal.

01:39 In order to do this, we're going to work backwards, so it's going to seem a little funky, but i know that this number means how many times do i repeat my little answer value here? so we're going to pick a really easy number...

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