WHEN Charlotte Hobbs decided to teach her 11-year-old pupil about the imaginary maths needed to work out the square root of a negative number, she knew it would be a stretch.

当夏洛特·霍布斯决定教她11岁的学生用来计算负数平方根的虚数时，她知道这是个艰巨的任务。

And there's this funky square root down here.

这里有个奇怪的平方根。

Hey, Lily, what's the square root of this potato?

莉莉 土豆的平方根是几？

And compute over 10,000 calculations by cosine, square root and lately Analytic Geometry.

完成上万笔计算处理余弦，平方根，最近用起了解析几何。

The engineer had made an error with a square root. And it was going to be tricky to tell him so.

工程师犯了个平方根的错误。告诉他这点是很棘手的。

Do you want to know the square root of 5,312?

你想知道5,312的平方根吗？

It turns out, that orbit is the square root of 27 times just a handful of fundamental constants.

结果是，轨道是27倍于少数基本常数的平方根。

For example, for a long time, there was no such thing as taking the square root of negative numbers.

例如，长期以来，负数是不能取平方根的。

You will have arithmetic, that's fractions, percent, square root signs, all of that good stuff relating to numbers.

它会考算术，就是分数、百分数、平方根符号，所有与数字有关的东西。

They're just easy confusions to stumble into when you're attacking things with an army of square roots.

当你用堆平方根的来解决问题时，很容易陷入片混乱。

But then mathematicians defined the square root of negative one as a new number called i, opening up a whole new mathematical world of complex numbers.

但后来数学家们取 -1 的平方根为个叫 i 的新数字，在数学领域里，这为复杂数字打开了全新的世界。

It is, though, a totally different kind of mental effort from plugging lots of numbers into complicated square root formulas and ultimately, much more worthwhile.

不过，这是种完全不同的脑力劳动，不需把大量的数字代入复杂的平方根公式中但结果更加值得。

Square root rooms, like room radical 2, and room pi, where the guests expect free dessert.

平方根的房间，像房间号为根号2的房间，和房间号为圆周率的房间，这些乘客期待免费的点心。

So poetic and understandable, you still had to multiply by the square root of n.

多么富有诗意又通俗易懂啊，你是得乘以n的平方根。

My teacher was priming us for the concepts with some questions about square roots.

我的老师用些关于平方根的问题来引导我们了解这些概念。

" Square root" , finding out how many times the number goes into itself.

“平方根” ，找出数字进入自身的次数。

And so if I take the square root of that, q now equals roughly 0.22.

因此， 如果我取这个数的平方根，现在 q 大约等于 0.22。

If we subtract the square root How do fish make omega-3 polyunsaturated fatty acids anyway?

如果我们减去平方根，那么鱼类究竟是如何制造欧米伽3多不饱和脂肪酸的呢？

What is the square root of 5,312?

5,312的平方根是多少？

So the square root dampens that effect.

因此，平方根减弱了这种影响。