Question

Plot the approximate value of square root of √10 on the number line

Answer 1

Notice that


`9<10<16\implies\sqrt9<√(10)<√(16)\implies3<√(10)<4`

and given that 10 is closer to 9, it's clear that
`√(10)` is probably closer in value to 3 then to 4. (The actual value is indeed about 3.162.)