Final answer:
The square root of 10 cannot be simplified into a perfect square. Perfect squares are whole numbers that result from squaring integers, while sqrt(10) remains as it is or is approximated since 10 is not a perfect square.
Step-by-step explanation:
The question pertains to extracting the square root of a non-perfect square, specifically the square root of 10. As 10 is not a perfect square, we cannot extract a perfect square from it as we could with numbers like 4, 9, 16, etc. Instead, sqrt(10) must be simplified in a different way if we want to work with it algebraically. If we had a number with an exponential term, we would decrease or increase the exponential term so that the power of the exponential term is evenly divisible by 2. Then, extract the square root of the digit term and divide the exponential term by 2. However, with sqrt(10), since there is no exponential, we can only approximate its value or leave it in the square root form.