What is the root number 50?

The analysis process is as follows:

The root sign of 50 is the arithmetic square root of 50. Generally speaking, if the square of a nonnegative x equals a, that is, x? =a, then this number x is called the arithmetic square root of a.

√50=√2×√25=5√2。

Extended data:

The root number (arithmetic square root) originated from the diagonal length of the square "root number two", and the discovery of this "root number two" once caused the Pythagorean school to panic. Because according to the authoritative explanation at that time (that is, the theory of Pythagoras school), everything is numbered (that is, everything in the world can be expressed by rational numbers).

For this irrational number "root number two", people finally choose to use the root number to represent it.

Relationship between square root and arithmetic square root

1, the prerequisite is the same: the prerequisite for the existence of arithmetic square roots and square roots is "only non-negative numbers have arithmetic square roots and square roots".

2. Inclusion relation: the square root contains the arithmetic square root, because the arithmetic square root of a positive number is only one of its two square roots.

The arithmetic square root of 3.0, like the square root, is 0.