To simplify a square root, we need to find perfect squarefactors inside the radicand. It may seem difficult at first to simplify the square root of 6.25 because it is a decimal number. However, let's look at this number as though it was not a decimal value (just for a little while). The number 625 is actually a perfect square. Let's simplify this first.
Now that we know that sqrt(625) = 25, we can use this to find sqrt(6.25). When we multiply decimals, we add the number of decimal places from each factor to find the number of decimals in the product.
&2.5_(1 decimal +)*2.5_(1decimal =)=6.25_(2 decimal places.) [2em]
& sqrt(6.25)=2.5
In this case, we have been asked for the negative of this value though. Let's see what this gives us.
sqrt(6.25)=2.5 ⇒ -sqrt(6.25)= -2.5.
