For value of the variable does this expression make sense? \sqrt{(1+3a)/(25)

Question

For value of the variable does this expression make sense?

`\sqrt{(1+3a)/(25)`

Answer 1

Answer: a ≥ -1/3

Explanation:

If we want the result of the expression to end up as a real number, the fraction under the square root cannot be negative.

Therefore, we can make an equation like this:

(1+3a) / 25 ≥ 0

Multiply by 25

1 + 3a ≥ 0

Subtract 1

3a ≥ -1

Divide by 3

a ≥ -1/3