The simplest form of the expression is 5√2.
To add the expressions -4√2 and 9√2, we can combine like terms.
Terms with the same variable and exponent are said to be like terms.
In this case, both terms have the square root of 2 (√2) as the variable, and they are multiplied by different coefficients.
As, the Given expression is -4√2 + 9√2.
To combine these terms, we add the coefficients while keeping the common variable:
-4√2 + 9√2
So, we can write it as
(-4+9)√2
The coefficients are -4 and 9.
As one has a negative sign and one has a positive sign we do the subtraction and give the highest number sign.
Hence we get,
5√2