Between which pair of rational numbers on a number line does 38−−√ lie?(1 point)
3 answers
To determine between which pair of rational numbers the value of $\sqrt{38}$ lies, we need to find two rational numbers between which it is sandwiched. Since we know that $6^2 = 36<38<49=7^2$, we have $6<\sqrt{38}<7$. Therefore, $\sqrt{38}$ lies between $6$ and $7$ on the number line.
Between 6.3 and 6.5
Between 19 and 19.2
Between 18.9 and 19.1
Between 6.1 and 6.2
Between 19 and 19.2
Between 18.9 and 19.1
Between 6.1 and 6.2
Between which pair of rational numbers on a number line does 38−−√ lie can be determined by approximating the value of $\sqrt{38}$. Using a calculator, we find that $\sqrt{38}$ is approximately 6.1644.
Therefore, $\sqrt{38}$ lies between 6.1 and 6.2 on the number line.
Therefore, $\sqrt{38}$ lies between 6.1 and 6.2 on the number line.