Which values make square root X plus one a whole number

Question

X equals five, X equals zero, X equals 15, X equals -5

Answer 1

To determine which values make \(\sqrt{X} + 1\) a whole number, we’ll check each provided value.

1. For \(X = 5\): \[ \sqrt{5} + 1 \approx 2.236 + 1 = 3.236 \quad \text{(not a whole number)} \]

2. For \(X = 0\): \[ \sqrt{0} + 1 = 0 + 1 = 1 \quad \text{(a whole number)} \]

3. For \(X = 15\): \[ \sqrt{15} + 1 \approx 3.873 + 1 = 4.873 \quad \text{(not a whole number)} \]

4. For \(X = -5\): \[ \sqrt{-5} \quad \text{(not a real number, hence not a whole number)} \]

From the values we analyzed, only \(X = 0\) makes \(\sqrt{X} + 1\) a whole number.