Question

Match the irrational numbers with their estimated positions on the number line.

Answer 1

Answer:

1. The value of $\sqrt{19}$ lies between 4.3 and 4.4.

2. The value of $\sqrt{18}$ lies between 4.2 and 4.3.

3. The value of $\sqrt{22}$ lies between 4.6 and 4.7.

4. The value of $\sqrt{21}$ lies between 4.5 and 4.6.

Step-by-step explanation:

The first irrational numbers is $\sqrt{19}$.

$\sqrt{19}=4.35889894354$

$\sqrt{19}\approx 4.35$

The value 4.35 lies between 4.3 and 4.4.

$4.3$

$4.3$

Therefore the value of $\sqrt{19}$ lies between 4.3 and 4.4.

The second irrational numbers is $\sqrt{18}$.

$\sqrt{18}=4.24264068712$

$\sqrt{18}\approx 4.24$

The value 4.24 lies between 4.2 and 4.3.

$4.2$

$4.2$

Therefore the value of $\sqrt{18}$ lies between 4.2 and 4.3.

The third irrational numbers is $\sqrt{22}$.

$\sqrt{22}=4.69041575982$

$\sqrt{22}\approx 4.69$

The value 4.69 lies between 4.6 and 4.7.

$4.6$

$4.6$

Therefore the value of $\sqrt{22}$ lies between 4.6 and 4.7.

The Fourth irrational numbers is $\sqrt{21}$.

$\sqrt{21}=4.58257569496$

$\sqrt{21}\approx 4.58$

The value 4.58 lies between 4.5 and 4.6.

$4.5$

$4.5$

Therefore the value of $\sqrt{21}$ lies between 4.5 and 4.6.

Answer 2

The sqrt of 19 is between 4.3 and 4.4.
The sqrt of 18 is between 4.2 and 4.3.
The sqrt of 22 is between 4.6 and 4.7.
And finally, the sqrt of 21 is between 4.5 and 4.6.