Question

Which irrational number is between square root of 14 and square of 18? (1 point)
Square root of 13
Square root of 10
• square root of 19
Square root of 5

Answer 1

To find the irrational number that is between the square root of 14 and the square of 18, we first need to calculate those values.

1. Calculate \( \sqrt{14} \):
\[
\sqrt{14} \approx 3.74
\]

2. Calculate \( 18^2 \):
\[
18^2 = 324
\]

Now we can find a number that lies between \( \sqrt{14} \) (approximately 3.74) and 324.

Next, let's check the options provided:

- \( \sqrt{13} \approx 3.61 \) (not between)
- \( \sqrt{10} \approx 3.16 \) (not between)
- \( \sqrt{19} \approx 4.36 \) (between)
- \( \sqrt{5} \approx 2.24 \) (not between)

From the calculations and comparisons, the only number that lies between \( \sqrt{14} \) and \( 18^2 \) (324) is:

**Square root of 19**.