Q. Write in shortest mathematical form:(a) the square root of 5 less than three times a number
Identify Components: Identify the components of the expression described in the problem.The problem describes "the square root of 5 less than three times a number." This means we have a number, let's call it x, and we are looking at three times this number, then subtracting the square root of 5 from it.
Translate to Math: Translate the verbal expression into a mathematical expression.Three times a number can be written as 3x. The square root of 5 is written as 5. "Less than" means we need to subtract 5 from 3x. So the expression is 3x−5.
Write in Simplest Form: Write the expression in its shortest mathematical form.The expression 3x−5 is already in its simplest form. There are no like terms to combine, and the square root of 5 cannot be simplified further.