Question

The choices are =,>,< and greater than or equal to

Answer 1

We conclude that

`4(2)/(3)` >
`√(21)`

Explanation:

Given

• 
  `√(21)`

• 
  `4(2)/(3)`

as

`\:√(21)=4.58`

and

`4(2)/(3)`

Convert mixed numbers to improper fraction:

`a(b)/(c)=(a\cdot \:c+b)/(c)`

so

`4(2)/(3)=(4\cdot 3+2)/(3)=(14)/(3)=4.67`

Thus,

`\:√(21)=4.58`

`4(2)/(3)=4.67`

as

4.67 > 4.58

so

`4(2)/(3)` >
`√(21)`

Hence, we conclude that

`4(2)/(3)` >
`√(21)`