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Radical Numbers - Coggle Diagram
Radical Numbers
properties
If n is odd
=x
If n is even
= |x|= (x, if x≥0) (-x, if x<0)
If x<0 and n is even then
is not a real number
Ex:√-2 ∉ R
definition
For any real numbers a and b, if
then a is anth root of b or
If x²=y then x is called the square root of y
If b² = a, then b is the square root of a If b³ = a,then b is the cube root of a
If b⁴ = a,then b is the fourth root of a
If
= a,then b is the nth root of a
Where a is a real number and n is the index of the radical
You can write the
root of a as
Nested Radicals
operations with nested radicals
Reading
"a radical n" or "the nth root of a"
