How to Approximate Square Roots Without a Calculator

This video tutorial teaches how to estimate square roots of non-perfect squares. It covers identifying non-perfect squares, using a number line to find integer bounds, and estimating square roots to the nearest hundredth. The video explains the properties of non-perfect squares, such as being irrational and non-repeating, and introduces a pattern in the number of non-perfect squares between perfect squares. It also provides a step-by-step method to estimate square roots without a calculator, using a ratio and rounding technique.

How do you determine if a square root is a non-perfect square?

What is the estimated value of sqrt(33) based on the perfect squares it lies between?

What is the significance of identifying the radicand in the estimation process?

Explain how to find the square root of a negative number based on the discussion in the video.