Question

Between what two integers does √160 lie?

Answer 1

• 12 and 13

Explanation:

Let the integers be a and b, then we have:

• 
  `a<√(160) <b`

If we square all terms we get:

• 
  `a^2<160<b^2`

It is now easier to find the squares:

• 
  `a^2 = 144\\b^2=169`

Then the integers are:

• 
  `a= √(144) =12\\b=√(169) =13`