Impunity is truly taking root.

Good governance is increasingly taking root.

A spirit of solidarity is taking root worldwide.

We're taking the principal root, the positive square root.

Notice, this is only taking the principal square root.

Taking the square root of something, and multiplying that times the square root of something else... is the same thing as just to taking the square root of 5x.

You're only taking the positive square root.

We're taking the principal root of 4.

Or taking the square root of both sides, m is equal to 2 over the square root of 5.

When we're taking the square root, it's not just the positive square root.

Across Russia s near abroad, a form of criminalized diplomacy is taking root.

Overall, macroeconomic orthodoxy seems to be taking root.

And, taking the fourth root of all of this, that's the same thing as taking the fourth root of this and, taking the fourth root of this, and let me just, I'm gonna just skip step.

Which is equal to, if we're taking the principal root, this is equal to 2.

I'm just taking the square root of 9t squared.

But then we're taking the square root of it.

Suddenly, the single European market is forgotten, and a return to fragmented markets is taking root.

So if we're taking the square root of the square root of all of this business, this is 4 times 49 over here.

Civil societies are becoming stronger and are taking root everywhere.

And, I'm taking the fourth root of all of this.

So, I'm taking the fourth root. I'm taking the fourth root of all of it, right over there. And of course I have a 2 out front.

Now, what's implicit when we write it like this is that I'm taking the square root.

And then you're taking a square root of a negative number.

If this expression right over here is negative, we're taking the square root of a negative number.

But I think we have enough practice realizing that 9 times 3a, all of that to the 1 2 power, or taking the principal root of all of that is the same thing as taking the principal root of 9 times the principal root of 3a.

And just as a bit of review, taking something to the 4 3 power, you can view it as either taking finding its cube root, taking it to the 1 3 power, and then taking its cube root to the fourth power.

And then that simplifies the idea of taking a negative square root.

That's our goal here, in taking the square root of both sides.

If we take the square root of the product of two things, it's the same thing as taking the square root of each of... them, and then taking the product.

You have this 4 to the 1 2 power and you're taking its principal square root, so its positive square root.

Furthermore, the peace in the Middle East, presaged by the Agreement on Palestinian self rule, is taking root.

Having an nth root of some number is equivalent to taking that number to the 1 n power.

We're not considering the negative square root of this, because when you take the square root of both sides to get here, we're only taking the principal root.

Now, we can you think of this as all of these numbers, the product of all these numbers to the 1 2 power or taking the square root of the product, that's like taking the square root of or that's equivalent to taking the square root of each of these terms.

The principle root is a positive root.

4 square root, principle root is 2.

I have seen the foolish taking root, but suddenly I cursed his habitation.

I have seen the foolish taking root but suddenly I cursed his habitation.

So 4x plus 1 I'm just taking the square root of both sides.

So, taking the cube root of something is the same as raising that something to the one third power.

So 81 actually is 3 to the fourth power which is convenient, cuz we're gonna be taking the fourth root of that.

You take the square root, you're pretty much taking the square root of this, and you'll just be a little bit above the graph.

Root element is

As instability mounts, a growing course of voices is raising the alarm about an extreme variant of Salafism also taking root.

Or I guess another way to think of it, and then taking the square root.