Question

How do you simplify the square root of 1.96 without a calculator?

Answer 1

See a solution process below:

Explanation:

We can rewrite this expression as:

`sqrt(1.96) => sqrt(100/100 xx 1.96) => sqrt(196/100) => sqrt(196)/sqrt(100) = sqrt(196)/10`

Next, we can rewrite the number under the radical as:

`sqrt(196)/10 => sqrt(4 xx 49)/10 => (sqrt(4) xx sqrt(49))/10 => (2 xx 7)/10 => 14/10 => 1.4`