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Write in shortest mathematical form:
(a) the square root of 5 less than three times a number

Write in shortest mathematical form: $\newline$ (a) the square root of $5$ less than three times a number

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Evaluate rational exponents

Full solution

Q. Write in shortest mathematical form:

\newline

(a) the square root of

5

less than three times a number

Identify Components: Identify the components of the expression described in the problem. $\newline$ 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. $\newline$ Three times a number can be written as $3x$ . The square root of $5$ is written as $\sqrt{5}$ . ＂Less than＂ means we need to subtract $\sqrt{5}$ from $3x$ . So the expression is $3x - \sqrt{5}$ .
Write in Simplest Form: Write the expression in its shortest mathematical form. $\newline$ The expression $3x - \sqrt{5}$ is already in its simplest form. There are no like terms to combine, and the square root of $5$ cannot be simplified further.

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