Answered

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Sagot :

absor201

Answer:

We conclude that

[tex]4\frac{2}{3}[/tex]    >   [tex]\sqrt{21}[/tex]

Step-by-step explanation:

Given

  • [tex]\sqrt{21}[/tex]
  • [tex]4\frac{2}{3}[/tex]

as

[tex]\:\sqrt{21}=4.58[/tex]

and

[tex]4\frac{2}{3}[/tex]

Convert mixed numbers to improper fraction:

[tex]a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

so

[tex]4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{14}{3}=4.67[/tex]

Thus,

[tex]\:\sqrt{21}=4.58[/tex]

[tex]4\frac{2}{3}=4.67[/tex]

as

4.67      >       4.58

so

[tex]4\frac{2}{3}[/tex]         >        [tex]\sqrt{21}[/tex]

Hence, we conclude that

[tex]4\frac{2}{3}[/tex]    >   [tex]\sqrt{21}[/tex]

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