Answer:
1. The value of [tex]\sqrt{19}[/tex] lies between 4.3 and 4.4.
2. The value of [tex]\sqrt{18}[/tex] lies between 4.2 and 4.3.
3. The value of [tex]\sqrt{22}[/tex] lies between 4.6 and 4.7.
4. The value of [tex]\sqrt{21}[/tex] lies between 4.5 and 4.6.
Step-by-step explanation:
The first irrational numbers is [tex]\sqrt{19}[/tex].
[tex]\sqrt{19}=4.35889894354[/tex]
[tex]\sqrt{19}\approx 4.35[/tex]
The value 4.35 lies between 4.3 and 4.4.
[tex]4.3<4.35<4.4[/tex]
[tex]4.3<\sqrt{19}<4.4[/tex]
Therefore the value of [tex]\sqrt{19}[/tex] lies between 4.3 and 4.4.
The second irrational numbers is [tex]\sqrt{18}[/tex].
[tex]\sqrt{18}=4.24264068712[/tex]
[tex]\sqrt{18}\approx 4.24[/tex]
The value 4.24 lies between 4.2 and 4.3.
[tex]4.2<4.24<4.3[/tex]
[tex]4.2<\sqrt{18}<4.3[/tex]
Therefore the value of [tex]\sqrt{18}[/tex] lies between 4.2 and 4.3.
The third irrational numbers is [tex]\sqrt{22}[/tex].
[tex]\sqrt{22}=4.69041575982[/tex]
[tex]\sqrt{22}\approx 4.69[/tex]
The value 4.69 lies between 4.6 and 4.7.
[tex]4.6<4.69<4.7[/tex]
[tex]4.6<\sqrt{22}<4.7[/tex]
Therefore the value of [tex]\sqrt{22}[/tex] lies between 4.6 and 4.7.
The Fourth irrational numbers is [tex]\sqrt{21}[/tex].
[tex]\sqrt{21}=4.58257569496[/tex]
[tex]\sqrt{21}\approx 4.58[/tex]
The value 4.58 lies between 4.5 and 4.6.
[tex]4.5<4.58<4.6[/tex]
[tex]4.5<\sqrt{21}<4.6[/tex]
Therefore the value of [tex]\sqrt{21}[/tex] lies between 4.5 and 4.6.
