The quadratic radical reduction of radical number 32 is equal to 4√2, and the calculation process is as follows:

√32

=√( 16×2) (observing the number, it is found that 32 can be written as the product of a perfect number 16 and 2).

=√(4×4×2)( 16 can be decomposed into 4×4)

=4√2

Note: For the simplification of numbers under the root sign, if you really don't know how to decompose the numbers under the root sign into the product of a square number and another number. You can divide this number by 2 first, then by 2, and so on.

On the explanation of square root

In mathematics, if a number B is the n-th square root of a number, then B n = A. When quoting the n-th square root of a real number, assuming that you want the main n-th square root of this number, it can be expressed as (√) by the root sign.

For example, the main root of 1024 is 2, which can be recorded as 10 √ 1024 = 2. When n=2, then n can be omitted. Define a unique real number B, whose principal n-th root is the n-th root of A, which is the same as the symbol of A. If n is even, then negative numbers have no principal n-th root. Traditionally, a square root is called a square root and a cube root is called a cube root.