√2 is an irrational number, which cannot be expressed by the ratio of two integers. It is an infinite acyclic decimal that looks irregular. As early as in ancient Greece, people discovered this strange number, which overthrew the basic assumptions in ancient Greek mathematics and directly led to the first mathematical crisis.

The root number 2 must be a number between 1 and 2.

Then calculate the square size of 1.5 ... that is, the process of finding the approximate solution of equation x 2 = 2 by dichotomy.

power exponent

When the exponent of a power is negative, it is called "negative exponential power". The -r power of a positive number A (R is any positive number) is defined as the reciprocal of the R power of A. ..

For example:

The 6th power of 2 = 2 6 = 2× 2× 2 = 4× 2× 2 = 8× 2× 2 =16× 2× 2 = 32× 2 = 64.

The fourth power of 3 = 3 4 = 3×3×3 = 9×3×3 = 27×3 = 8 1.

As shown in the above formula, the 6th power of 2 is the multiplication of 6 2s, and the 4th power of 3 is the multiplication of 4 3s.

If it is a relatively large number multiplication, you can also use calculation tools such as settlement calculator and computer to calculate.