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?

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF