Question

☺️☺️ What is surds ? Give example? Explain in brief ? ☺️☺️

Answer 1

A surd is a number or quantity that cannot be expressed as the ratio of two integer s. The term also refers to a symbol ( ) that is sometimes used to indicate that the number or quantity that follows it is a root.

The surd symbol, all by itself, indicates the square root (1/2 power). If the surd has a number x written ahead of it and over the horizontal portion, then the symbol refers to the x th root (1/ x power) of that number. Therefore, for example:

indicates the cube root (1/3 power)

indicates the fourth root (1/4 power)

indicates the -7th root (-1/7 power)

indicates the n th root (1/ n power)

The extent of the quantity affected by the surd, and that follows it, is indicated by placing a horizontal line over that quantity. The most common example is the square root symbol .



Hope it help you

Answer 2

When we can't simplify a number to remove a square root (or cube root etc) then it is a surd.

Example: √2 (square root of 2) can't be simplified further so it is a surd

Example: √4 (square root of 4) can be simplified (to 2), so it is not a surd!