To estimate square roots you can use a number line.
To find the square root of 30, you take the 2 nearest perfect squares. So the square root of 30 would be in between the square root of 25 and 36.
To make this easier you can turn the square roots into fractions. The square root fraction of 30 is 5 5/11, I know this because..
You subtract the 2 perfect squares to get your denominator.
Example: Smaller perfect square= 25.. = 4 9/9, 26 = 5 1/11, 27 = 5 2/11 , 28 = 5 3/11, 29 = 5 4/11, and so on.
And this is what we did for today's math class! (:
Here's a video that will help you learn more about estimating square roots!
Sorry if the video is too long, it's the best I can find!
1. Explain the Pythagorean Relationship
-When the areas of the squares attached to the legs of a right triangle add up to the area of the square attached to the hypotenuse (the longest side of a right triangle).
2. Solve for the missing side length
3. Is this a right triangle? Prove it!!!
Sorry, the color didn't work when I started Pythagorean Relationship.