What do you understand by ∛ and √
Answers
Answer:
The √ is commonly referred to as a radical sign, indicating that a root is to be taken of a number. Radix is the Latin word for root. Without an explicit superscripted number preceding the symbol, a ² is implied and √9 = ²√9 = 3, referring to the square root of 9. A cube root would look like ∛ and a fourth root like ∜, etc.
This sign might not look familiar to you because it usually has a vinculum attached to the top and extending to the right. A vinculum is a horizontal bar that is used for bracketing, similarly to parentheses (), brackets [], and braces {}. The vinculum indicates what constitutes the radicand (the value you wish to take a root of. Thus, for example, 16+9−−−−−√ means to add 16 and 9 first (because of the vinculum over the 16 + 9 indicating grouping into an expression to be evaluated before calculating the root) to get 25 and then take the square root to get 5; otherwise, just √16 + 9 means to take the square root of 16 first to get 4 (remembering that powers are to be done before additions and the square root is equivalent to raising a base to an exponent of 1/2, making the square root a power) and then adding 9 to get 13.
The vinculum serves a similar purpose in division to indicate explicitly what are the numerator/dividend and the denominator/divisor, so the vinculum serves a dual purpose: division and explicit identification of the two operands in the division.