The problem of calculating the root number by hand. That is, the root number sqrt(x) of a non-zero positive integer x can be regarded as x (1/2). Mathematically expressed as:

√x = x^( 1/2).？

For any non-zero positive integer, we can definitely decompose it into the product of at least two integers (expressed as x 1, x2, x3 ...).

x^( 1/2)=(x 1)^( 1/2)(x2)^( 1/2)...(xn)^( 1/2)

Where x=x 1*x2*x3*x4...*xn.

As you are only in junior high school, the above items can't exceed three at most, that is, x (1/2) = (x1) (1/2) (x2) (1/2).

For example:

√ 12 =? √(4x3) = √4*√3 = 2√3

√3 is approximately equal to 1.732, so √12 = 2x1.732 = 3.464.

√ 18 =? √(9x2) =？ √9x√2 = 3√2

√2 is approximately equal to 1.4 14, so √18 = 3x1.414 = 4.242.

Pay attention to several common root number results that need to be memorized.

Extended reading:

Reciting list of common root symbols:

√2 is approximately equal to 1.4 14.

√3 is about 1.732.

√5 is approximately equal to 2.236.

6 is about 2.449.

√7 is approximately equal to 2.646.

Reference: Baidu Encyclopedia-Manual Prescription