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

莉莉 土豆的平方根是几？

How did you know that? Okay, smarty pants, the square root of two!

你是怎么知道的。好的，聪明的孩子，二的开平方呢？

So it's equal to 49 times the square root of 3 newtons.

这个力，也就是平行於斜面的这个地心引力的分力。

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

还要完成上万笔计算处理余弦，平方根，最近还用起了解析几何。

And the square root of 3 times this right here.

根3乘以这个式子。

5 square roots of 3 is equal to 0.

所以根3T1等於。

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。

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。

So we get 1 over the square root of 3.

用计算器算一下。

And so this is 49 square roots of 3 newtons out of the surface, out of the surface.

这个力，也就是平行於斜面的这个地心引力的分力这个力，也就是平行於斜面的这个地心引力的分力。

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

当你用一堆平方根的来解决问题时，很容易陷入一片混乱。

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。

And this is pulling-- the second wire --with a tension of 5 square roots of 3 Newtons.

这条的拉力 第二条线所以这条线实际上起的作用更大。

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。

So that is going in that direction at 49 square roots of 3 newtons.

大小是49倍根号3牛现在 我们不再假设物块静止。

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

工程师犯了一个平方根的错误。要告诉他这一点是很棘手的。

What about the square root of negative one?

负一的平方根呢？

So 0.7 over the square root of 50.

所以 0.7 超过 50 的平方根。

So it's 200 times the square root of 3 over 2, which equals 100 square root of 3.

所以它是 3 的平方根乘以 2 的 200 倍，等于 3 的 100 平方根。

Divide both sides by square root of 3 and you get the tension in the first wire is equal to 5 Newtons.

两边除以根3就得到第一根线上的张力是5牛顿。