jonathan22 said:Homework Statement
3∜2 - ∜(2/81) + ∜32 - ∜162
jonathan22 said:oh i wrong, i mean 3∜2 - ∜(2/81) - ∜130
3∜2 – ∜2/3 - ∜130, and then the 130 come from 32-162
A surd is a mathematical term that refers to an expression containing a square root, cube root, or other root symbol. It is often used to represent irrational numbers that cannot be expressed as a simple fraction or decimal.
To simplify a surd, you need to find the largest perfect square that is a factor of the number inside the surd and take its square root. Then, you can move any remaining numbers outside the square root symbol.
No, not all surds can be simplified. Surds that are perfect squares, such as √9 or √25, are already in their simplest form and cannot be simplified further.
In math, a surd and a radical are essentially the same thing. Both refer to an expression containing a root symbol, such as √ or ∛. However, surd is a more common term used in British English, while radical is more common in American English.
Simplifying surds can make equations easier to work with and solve. By simplifying, you can often eliminate the surd and work with simpler numbers, making it easier to find the solution to the equation.